Becker, Eberhard; Kuhlmann, Franz-Viktor; Kuhlmann, Katarzyna Density of composite places in function fields and applications to real holomorphy rings. (English) Zbl 07747182 Math. Nachr. 296, No. 1, 57-79 (2023). MSC: 12J10 12J15 12D15 12J25 PDF BibTeX XML Cite \textit{E. Becker} et al., Math. Nachr. 296, No. 1, 57--79 (2023; Zbl 07747182) Full Text: DOI arXiv
Restrepo Borrero, M.; Srivastava, Vatsal; Shamseddine, K. On a new measure on the Levi-Civita field \(\mathcal{R}\). (English) Zbl 1521.12010 \(p\)-Adic Numbers Ultrametric Anal. Appl. 15, No. 1, 1-22 (2023). MSC: 12J25 28E05 26E30 46S10 PDF BibTeX XML Cite \textit{M. Restrepo Borrero} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 15, No. 1, 1--22 (2023; Zbl 1521.12010) Full Text: DOI arXiv
Mavi, Sneha; Bishnoi, Anuj Abstract key polynomials and distinguished pairs. (English) Zbl 07723960 J. Algebra Appl. 22, No. 9, Article ID 2350193, 19 p. (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 12F20 12J10 12J20 12J25 13A18 PDF BibTeX XML Cite \textit{S. Mavi} and \textit{A. Bishnoi}, J. Algebra Appl. 22, No. 9, Article ID 2350193, 19 p. (2023; Zbl 07723960) Full Text: DOI arXiv
Boucksom, Sébastien; Jonsson, Mattias Global pluripotential theory over a trivially valued field. (English. French summary) Zbl 07712231 Ann. Fac. Sci. Toulouse, Math. (6) 31, No. 3, 647-836 (2022). MSC: 32P05 32U99 32W20 PDF BibTeX XML Cite \textit{S. Boucksom} and \textit{M. Jonsson}, Ann. Fac. Sci. Toulouse, Math. (6) 31, No. 3, 647--836 (2022; Zbl 07712231) Full Text: DOI arXiv
Moret-Bailly, Laurent A construction of weakly unramified extensions of a valuation ring. (Une construction d’extensions faiblement non ramifiées d’un anneau de valuation.) (French. English summary) Zbl 1495.13033 Rend. Semin. Mat. Univ. Padova 147, 139-151 (2022). Reviewer: Gerard Leloup (Le Mans) MSC: 13F30 12J10 12J25 13B40 14A15 PDF BibTeX XML Cite \textit{L. Moret-Bailly}, Rend. Semin. Mat. Univ. Padova 147, 139--151 (2022; Zbl 1495.13033) Full Text: DOI arXiv
Mavi, Sneha; Bishnoi, Anuj Valuation-transcendental extensions and pseudo-monotone sequences. (English) Zbl 1497.12003 Commun. Algebra 50, No. 10, 4288-4299 (2022). Reviewer: Sudesh Kaur Khanduja (Sahibzada Ajit Singh Nagar) MSC: 12F20 12J10 12J20 12J25 13A18 PDF BibTeX XML Cite \textit{S. Mavi} and \textit{A. Bishnoi}, Commun. Algebra 50, No. 10, 4288--4299 (2022; Zbl 1497.12003) Full Text: DOI
Minamide, Arata; Tsujimura, Shota Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields. (English) Zbl 1493.12009 J. Number Theory 239, 298-334 (2022). MSC: 12F10 12J25 14H30 PDF BibTeX XML Cite \textit{A. Minamide} and \textit{S. Tsujimura}, J. Number Theory 239, 298--334 (2022; Zbl 1493.12009) Full Text: DOI
Kuhlmann, F.-V. Subfields of algebraically maximal Kaplansky fields. (English) Zbl 1501.12002 Commun. Algebra 50, No. 8, 3346-3353 (2022). Reviewer: Gerard Leloup (Le Mans) MSC: 12J10 12J25 13A18 12-08 PDF BibTeX XML Cite \textit{F. V. Kuhlmann}, Commun. Algebra 50, No. 8, 3346--3353 (2022; Zbl 1501.12002) Full Text: DOI arXiv
Fichou, Goulwen; Yin, Yimu Motivic integration and Milnor fiber. (English) Zbl 1498.14032 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1617-1678 (2022). MSC: 14E18 12J25 14B05 PDF BibTeX XML Cite \textit{G. Fichou} and \textit{Y. Yin}, J. Eur. Math. Soc. (JEMS) 24, No. 5, 1617--1678 (2022; Zbl 1498.14032) Full Text: DOI arXiv
Escassut, Alain Banach algebras of ultrametric functions. (English) Zbl 1516.46001 Singapore: World Scientific (ISBN 978-981-12-5165-8/hbk; 978-981-12-5167-2/ebook). xiii, 308 p. (2022). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46-02 46S10 12J25 26E30 30G06 PDF BibTeX XML Cite \textit{A. Escassut}, Banach algebras of ultrametric functions. Singapore: World Scientific (2022; Zbl 1516.46001) Full Text: DOI
Toni, Bourama; Zúñiga-Galindo, W. A. Introduction: advancing non-Archimedean mathematics. (English) Zbl 1504.30066 Zúñiga-Galindo, W. A. (ed.) et al., Advances in non-Archimedean analysis and applications. The \(p\)-adic methodology in STEAM-H. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 1-7 (2021). MSC: 30G06 PDF BibTeX XML Cite \textit{B. Toni} and \textit{W. A. Zúñiga-Galindo}, in: Advances in non-Archimedean analysis and applications. The \(p\)-adic methodology in STEAM-H. Cham: Springer. 1--7 (2021; Zbl 1504.30066) Full Text: DOI
Cubides Kovacsics, Pablo; Poineau, Jérôme Definable sets of Berkovich curves. (English) Zbl 1484.14056 J. Inst. Math. Jussieu 20, No. 4, 1275-1339 (2021). MSC: 14G22 12J25 03C98 PDF BibTeX XML Cite \textit{P. Cubides Kovacsics} and \textit{J. Poineau}, J. Inst. Math. Jussieu 20, No. 4, 1275--1339 (2021; Zbl 1484.14056) Full Text: DOI arXiv
Escassut, Alain \(p\)-adic analytic functions. (English) Zbl 1473.30028 Hackensack, NJ: World Scientific (ISBN 978-981-12-2621-2/hbk; 978-981-12-2623-6/ebook). viii, 340 p. (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 30G06 46S10 12J25 30-02 PDF BibTeX XML Cite \textit{A. Escassut}, \(p\)-adic analytic functions. Hackensack, NJ: World Scientific (2021; Zbl 1473.30028) Full Text: DOI
Doris, Christopher Exact \(p\)-adic computation in Magma. (English) Zbl 1472.11004 J. Symb. Comput. 104, 476-493 (2021). MSC: 11-04 11S82 12-08 12J25 68W30 PDF BibTeX XML Cite \textit{C. Doris}, J. Symb. Comput. 104, 476--493 (2021; Zbl 1472.11004) Full Text: DOI arXiv
El Amrani, Abdelkhalek; Razouki, Abdelhak; Hassani, Rachid A.; Babahmed, Mohamed On the \(\mathbb{K} \)-vector sequential topology on a non-Archimedean valued field. (English) Zbl 1468.46080 \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 3, 177-184 (2020). MSC: 46S10 46A03 46A19 PDF BibTeX XML Cite \textit{A. El Amrani} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 3, 177--184 (2020; Zbl 1468.46080) Full Text: DOI
Bottazzi, Emanuele Spaces of measurable functions on the Levi-Civita field. (English) Zbl 1454.26045 Indag. Math., New Ser. 31, No. 4, 650-694 (2020). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 26E30 46S10 PDF BibTeX XML Cite \textit{E. Bottazzi}, Indag. Math., New Ser. 31, No. 4, 650--694 (2020; Zbl 1454.26045) Full Text: DOI arXiv
Kochubei, Anatoly N. Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field. (English) Zbl 1427.35384 J. Math. Anal. Appl. 483, No. 1, Article ID 123609, 11 p. (2020). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 35S05 32P05 30G06 11S80 46S10 47S10 12J25 PDF BibTeX XML Cite \textit{A. N. Kochubei}, J. Math. Anal. Appl. 483, No. 1, Article ID 123609, 11 p. (2020; Zbl 1427.35384) Full Text: DOI arXiv
Comicheo, Angel Barria Generalized open mapping theorem for \(X\)-normed spaces. (English) Zbl 1443.46047 \(p\)-Adic Numbers Ultrametric Anal. Appl. 11, No. 2, 135-150 (2019). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 47S10 12J10 12J20 12J25 PDF BibTeX XML Cite \textit{A. B. Comicheo}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 11, No. 2, 135--150 (2019; Zbl 1443.46047) Full Text: DOI
Ludkowski, S. V. Extensions and spectra of ultranormed algebras. (English) Zbl 1448.46063 Far East J. Math. Sci. (FJMS) 110, No. 2, 365-379 (2019). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 47S10 46J05 12J25 16W60 PDF BibTeX XML Cite \textit{S. V. Ludkowski}, Far East J. Math. Sci. (FJMS) 110, No. 2, 365--379 (2019; Zbl 1448.46063) Full Text: DOI
Flynn, Darren; Shamseddine, Khodr On the topological structure of a Hahn field and convergence of power series. (English) Zbl 1478.12007 Indag. Math., New Ser. 30, No. 5, 773-795 (2019). MSC: 12J10 12J25 26E30 PDF BibTeX XML Cite \textit{D. Flynn} and \textit{K. Shamseddine}, Indag. Math., New Ser. 30, No. 5, 773--795 (2019; Zbl 1478.12007) Full Text: DOI arXiv
Natarajan, P. N. Steinhaus type theorems over valued fields: a survey. (English) Zbl 1430.40005 Ruzhansky, Michael (ed.) et al., Advanced topics in mathematical analysis. Boca Raton, FL: CRC Press. 529-562 (2019). MSC: 40C15 26E30 PDF BibTeX XML Cite \textit{P. N. Natarajan}, in: Advanced topics in mathematical analysis. Boca Raton, FL: CRC Press. 529--562 (2019; Zbl 1430.40005)
Moreno, Héctor M. Non-measurable sets in ordered fields. (English) Zbl 1419.46046 Indag. Math., New Ser. 30, No. 1, 94-97 (2019). MSC: 46S10 12J15 12J25 PDF BibTeX XML Cite \textit{H. M. Moreno}, Indag. Math., New Ser. 30, No. 1, 94--97 (2019; Zbl 1419.46046) Full Text: DOI
Bottazzi, Emanuele A transfer principle for the continuations of real functions to the Levi-Civita field. (English) Zbl 1415.26006 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 3, 179-191 (2018). MSC: 26E30 12J25 PDF BibTeX XML Cite \textit{E. Bottazzi}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 3, 179--191 (2018; Zbl 1415.26006) Full Text: DOI
Flynn, Darren; Shamseddine, Khodr On integrable delta functions on the Levi-Civita field. (English) Zbl 1428.46048 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 1, 32-56 (2018). MSC: 46S10 28E99 12J25 PDF BibTeX XML Cite \textit{D. Flynn} and \textit{K. Shamseddine}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 1, 32--56 (2018; Zbl 1428.46048) Full Text: DOI
Madunts, A. I. Classification of generalized formal Lubin-Tate groups over multidimensional local fields. (English. Russian original) Zbl 1443.11246 J. Math. Sci., New York 234, No. 2, 175-179 (2018); translation from Zap. Nauchn. Semin. POMI 455, 91-97 (2017). MSC: 11S31 12J25 PDF BibTeX XML Cite \textit{A. I. Madunts}, J. Math. Sci., New York 234, No. 2, 175--179 (2018; Zbl 1443.11246); translation from Zap. Nauchn. Semin. POMI 455, 91--97 (2017) Full Text: DOI
Barría Comicheo, Angel; Shamseddine, Khodr Summary on non-Archimedean valued fields. (English) Zbl 1430.12010 Escassut, Alain (ed.) et al., Advances in ultrametric analysis. 14th international conference on \(p\)-adic functional analysis, Université d’Auvergne, Aurillac, France, June 30 – July 4, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 704, 1-36 (2018). MSC: 12J25 12-02 12J10 12J15 12J20 26E30 46S10 PDF BibTeX XML Cite \textit{A. Barría Comicheo} and \textit{K. Shamseddine}, Contemp. Math. 704, 1--36 (2018; Zbl 1430.12010) Full Text: DOI
Perez-Garcia, Maria Cristina \(k\)-spaces and duals of non-Archimedean metrizable locally convex spaces. (English) Zbl 1405.46056 Forum Math. 30, No. 5, 1309-1318 (2018). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 54D50 PDF BibTeX XML Cite \textit{M. C. Perez-Garcia}, Forum Math. 30, No. 5, 1309--1318 (2018; Zbl 1405.46056) Full Text: DOI
Nagel, Enno \(p\)-adic Fourier theory of differentiable functions. (English) Zbl 1407.11135 Doc. Math. 23, 939-967 (2018). Reviewer: Kevin Keating (Gainesville) MSC: 11S80 11S31 14G22 12J25 32P05 43A32 46S10 PDF BibTeX XML Cite \textit{E. Nagel}, Doc. Math. 23, 939--967 (2018; Zbl 1407.11135) Full Text: DOI
Blaszczok, Anna; Kuhlmann, Franz-Viktor Counting the number of distinct distances of elements in valued field extensions. (English) Zbl 1469.12006 J. Algebra 509, 192-211 (2018). MSC: 12J10 12J25 PDF BibTeX XML Cite \textit{A. Blaszczok} and \textit{F.-V. Kuhlmann}, J. Algebra 509, 192--211 (2018; Zbl 1469.12006) Full Text: DOI arXiv
Kang, Dongseung On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces. (English) Zbl 1499.46132 Filomat 31, No. 15, 4915-4923 (2017). MSC: 46S10 26E30 12J25 46S40 PDF BibTeX XML Cite \textit{D. Kang}, Filomat 31, No. 15, 4915--4923 (2017; Zbl 1499.46132) Full Text: DOI
Yin, Yimu Generalized Euler characteristic in power-bounded \(T\)-convex valued fields. (English) Zbl 1506.03093 Compos. Math. 153, No. 12, 2591-2642 (2017). MSC: 03C64 03C60 12J25 12L12 PDF BibTeX XML Cite \textit{Y. Yin}, Compos. Math. 153, No. 12, 2591--2642 (2017; Zbl 1506.03093) Full Text: DOI arXiv
Blaszczok, Anna; Kuhlmann, Franz-Viktor On maximal immediate extensions of valued fields. (English) Zbl 1408.12001 Math. Nachr. 290, No. 1, 7-18 (2017). Reviewer: Peter Sinclair (Hamilton) MSC: 12J10 12J25 PDF BibTeX XML Cite \textit{A. Blaszczok} and \textit{F.-V. Kuhlmann}, Math. Nachr. 290, No. 1, 7--18 (2017; Zbl 1408.12001) Full Text: DOI
Kochubei, Anatoly N. Non-Archimedean duality: algebras, groups, and multipliers. (English) Zbl 1367.16033 Algebr. Represent. Theory 19, No. 5, 1081-1108 (2016). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 16T05 20G42 43A40 46H99 46S10 12J25 PDF BibTeX XML Cite \textit{A. N. Kochubei}, Algebr. Represent. Theory 19, No. 5, 1081--1108 (2016; Zbl 1367.16033) Full Text: DOI arXiv
Eaves, B. Curtis; Rothblum, Uriel G. Generating approximate parametric roots of parametric polynomials. (English) Zbl 1368.12006 Ann. Oper. Res. 241, No. 1-2, 515-573 (2016). MSC: 12Y05 68W30 12J25 26C10 65H04 PDF BibTeX XML Cite \textit{B. C. Eaves} and \textit{U. G. Rothblum}, Ann. Oper. Res. 241, No. 1--2, 515--573 (2016; Zbl 1368.12006) Full Text: DOI
Schikhof, W. H.; Olivos, E. A note on Banach spaces over a rank 1 discretely valued field. (English) Zbl 1355.46063 Glöckner, Helge (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). Contemporary Mathematics 665, 279-288 (2016). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 47S10 12J25 PDF BibTeX XML Cite \textit{W. H. Schikhof} and \textit{E. Olivos}, Contemp. Math. 665, 279--288 (2016; Zbl 1355.46063) Full Text: DOI
Keller, Hans A. Large linear spaces of invertible operators on a Banach space. (English) Zbl 1359.46065 Glöckner, Helge (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). Contemporary Mathematics 665, 103-119 (2016). Reviewer: T. D. Narang (Amritsar) MSC: 46S10 15B48 12J25 PDF BibTeX XML Cite \textit{H. A. Keller}, Contemp. Math. 665, 103--119 (2016; Zbl 1359.46065) Full Text: DOI
Megrelishvili, M.; Shlossberg, M. Non-Archimedean transportation problems and Kantorovich ultra-norms. (English) Zbl 1353.90027 \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 2, 125-148 (2016). MSC: 90B06 54E35 54H11 PDF BibTeX XML Cite \textit{M. Megrelishvili} and \textit{M. Shlossberg}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 2, 125--148 (2016; Zbl 1353.90027) Full Text: DOI arXiv
Popescu, Sever Angel On a class of Henselian fields. (English) Zbl 1363.12004 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 58(106), No. 2, 193-198 (2015). MSC: 12J10 12J25 12F05 12F10 12J20 13F25 PDF BibTeX XML Cite \textit{S. A. Popescu}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 58(106), No. 2, 193--198 (2015; Zbl 1363.12004)
Perez-Garcia, C. Non-Archimedean countably injective Banach spaces. (English) Zbl 1344.46054 J. Convex Anal. 22, No. 3, 733-746 (2015). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 12J25 30G06 47S10 46B04 PDF BibTeX XML Cite \textit{C. Perez-Garcia}, J. Convex Anal. 22, No. 3, 733--746 (2015; Zbl 1344.46054) Full Text: Link
Kuijpers, Tristan Lipschitz extensions of definable \(p\)-adic functions. (English) Zbl 1337.03050 Math. Log. Q. 61, No. 3, 151-158 (2015). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C60 12J25 PDF BibTeX XML Cite \textit{T. Kuijpers}, Math. Log. Q. 61, No. 3, 151--158 (2015; Zbl 1337.03050) Full Text: DOI arXiv
Blaszczok, Anna; Kuhlmann, Franz-Viktor Algebraic independence of elements in immediate extensions of valued fields. (English) Zbl 1359.12004 J. Algebra 425, 179-214 (2015). MSC: 12J10 12J25 PDF BibTeX XML Cite \textit{A. Blaszczok} and \textit{F.-V. Kuhlmann}, J. Algebra 425, 179--214 (2015; Zbl 1359.12004) Full Text: DOI arXiv
Aguayo, José; Nova, Miguel; Shamseddine, Khodr Inner product on \(B^\ast\)-algebras of operators on a free Banach space over the Levi-Civita field. (English) Zbl 1325.46077 Indag. Math., New Ser. 26, No. 1, 191-205 (2015). Reviewer: Cristina Pérez-García (Santander) MSC: 46S10 47S10 PDF BibTeX XML Cite \textit{J. Aguayo} et al., Indag. Math., New Ser. 26, No. 1, 191--205 (2015; Zbl 1325.46077) Full Text: DOI
Giordano, Paolo Which numbers simplify your problem? (English) Zbl 1325.12009 Rassias, Themistocles M. (ed.) et al., Mathematics without boundaries. Surveys in pure mathematics. New York, NY: Springer (ISBN 978-1-4939-1105-9/hbk; 978-1-4939-1106-6/ebook). 181-220 (2014). MSC: 12J25 03H99 PDF BibTeX XML Cite \textit{P. Giordano}, in: Mathematics without boundaries. Surveys in pure mathematics. New York, NY: Springer. 181--220 (2014; Zbl 1325.12009) Full Text: DOI
Natarajan, P. N. A Tauberian theorem for weighted means in non-Archimedean fields-revisited and revised. (English) Zbl 1332.40005 Commentat. Math. 54, No. 2, 177-178 (2014). MSC: 40E05 12J25 40J05 PDF BibTeX XML Cite \textit{P. N. Natarajan}, Commentat. Math. 54, No. 2, 177--178 (2014; Zbl 1332.40005) Full Text: DOI
Kuhlmann, Franz-Viktor; Naseem, Asim Defects of algebraic function fields, completion defects and defect quotients. (English) Zbl 1376.12009 Campillo, Antonio (ed.) et al., Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18–29, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-149-1/hbk). EMS Series of Congress Reports, 320-349 (2014). MSC: 12J10 12J25 12F05 14H05 PDF BibTeX XML Cite \textit{F.-V. Kuhlmann} and \textit{A. Naseem}, in: Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18--29, 2011. Zürich: European Mathematical Society (EMS). 320--349 (2014; Zbl 1376.12009) Full Text: arXiv
Perez-Garcia, Cristina; Schikhof, Wilhelmus H. The metric approximation property in non-Archimedean normed spaces. (English) Zbl 1320.46059 Glas. Mat., III. Ser. 49, No. 2, 407-419 (2014). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 46B28 PDF BibTeX XML Cite \textit{C. Perez-Garcia} and \textit{W. H. Schikhof}, Glas. Mat., III. Ser. 49, No. 2, 407--419 (2014; Zbl 1320.46059) Full Text: DOI Link
Khanduja, Sudesh K.; Kumar, Sanjeev A generalization of a theorem of Ore. (English) Zbl 1296.12006 J. Pure Appl. Algebra 218, No. 7, 1206-1218 (2014). Reviewer: Ali Benhissi (Monastir) MSC: 12J10 12J25 12E05 PDF BibTeX XML Cite \textit{S. K. Khanduja} and \textit{S. Kumar}, J. Pure Appl. Algebra 218, No. 7, 1206--1218 (2014; Zbl 1296.12006) Full Text: DOI
Natarajan, P. N. An introduction to ultrametric summability theory. (English) Zbl 1284.40001 SpringerBriefs in Mathematics. New Delhi: Springer (ISBN 978-81-322-1646-9/pbk; 978-81-322-1647-6/ebook). ix, 102 p. (2014). Reviewer: Umit Totur (Aydin) MSC: 40-02 40Cxx 40Gxx 40A30 26E30 12J25 46S10 PDF BibTeX XML Cite \textit{P. N. Natarajan}, An introduction to ultrametric summability theory. New Delhi: Springer (2014; Zbl 1284.40001) Full Text: DOI
Menken, Hamza; Aşan, Abdulkadir On some properties of Liouville numbers in the non-Archimedean case. (English) Zbl 1362.11067 Eur. J. Pure Appl. Math. 6, No. 2, 239-246 (2013). MSC: 11J61 12J25 11R58 PDF BibTeX XML Cite \textit{H. Menken} and \textit{A. Aşan}, Eur. J. Pure Appl. Math. 6, No. 2, 239--246 (2013; Zbl 1362.11067) Full Text: Link
Moreno, Héctor M. Non-measurable sets in the Levi-Civita field. (English) Zbl 1329.46069 Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on \(p\)-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 163-177 (2013). MSC: 46S10 28A99 12J25 PDF BibTeX XML Cite \textit{H. M. Moreno}, Contemp. Math. 596, 163--177 (2013; Zbl 1329.46069) Full Text: DOI
Keller, Hans A. Subfields of valued, complete fields. (English) Zbl 1352.12004 Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on \(p\)-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 123-131 (2013). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12J10 12F05 12J25 PDF BibTeX XML Cite \textit{H. A. Keller}, Contemp. Math. 596, 123--131 (2013; Zbl 1352.12004) Full Text: DOI Link
Katsaras, Athanasios K. Integral representations of continuous linear maps on \(p\)-adic spaces of continuous functions. (English) Zbl 1334.46059 Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on \(p\)-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 103-121 (2013). Reviewer: T. D. Narang (Amritsar) MSC: 46S10 46G10 46E40 PDF BibTeX XML Cite \textit{A. K. Katsaras}, Contemp. Math. 596, 103--121 (2013; Zbl 1334.46059) Full Text: DOI
Glöckner, Helge Exponential laws for ultrametric partially differentiable functions and applications. (English) Zbl 1317.26022 \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 2, 122-159 (2013). MSC: 26E30 12J25 PDF BibTeX XML Cite \textit{H. Glöckner}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 2, 122--159 (2013; Zbl 1317.26022) Full Text: DOI arXiv
Koh, Heejeong; Kang, Dongseung On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces. (English) Zbl 1302.46064 J. Inequal. Appl. 2013, Paper No. 507, 6 p. (2013). MSC: 46S10 47S10 12J25 46S40 PDF BibTeX XML Cite \textit{H. Koh} and \textit{D. Kang}, J. Inequal. Appl. 2013, Paper No. 507, 6 p. (2013; Zbl 1302.46064) Full Text: DOI
Deepa, R.; Natarajan, P. N.; Srinivasan, V. Cauchy multiplication of Euler summable series in ultrametric fields. (English) Zbl 1306.40008 Commentat. Math. 53, No. 1, 73-79 (2013). MSC: 40G05 12J25 PDF BibTeX XML Cite \textit{R. Deepa} et al., Commentat. Math. 53, No. 1, 73--79 (2013; Zbl 1306.40008)
Zaharescu, Alexandru Residual transcendental extensions of valuations, irreducible polynomials, and trace series over \(p\)-adic fields. (English) Zbl 1289.12003 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 56(104), No. 1, 125-131 (2013). MSC: 12J10 12J25 12F20 11S05 PDF BibTeX XML Cite \textit{A. Zaharescu}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 56(104), No. 1, 125--131 (2013; Zbl 1289.12003)
Athreya, Jayadev S.; Ghosh, Anish; Prasad, Amritanshu Buildings, extensions, and volume growth entropy. (English) Zbl 1279.51003 New York J. Math. 19, 1-11 (2013). MSC: 51E24 37P20 12J25 PDF BibTeX XML Cite \textit{J. S. Athreya} et al., New York J. Math. 19, 1--11 (2013; Zbl 1279.51003) Full Text: arXiv EMIS
Bishnoi, Anuj; Khanduja, Sudesh K. On generalized Schönemann polynomials. (English) Zbl 1307.12003 Commun. Algebra 41, No. 7, 2417-2426 (2013). Reviewer: Oleksandr Iena (Luxembourg) MSC: 12E05 12J10 12J25 PDF BibTeX XML Cite \textit{A. Bishnoi} and \textit{S. K. Khanduja}, Commun. Algebra 41, No. 7, 2417--2426 (2013; Zbl 1307.12003) Full Text: DOI
Shamseddine, Khodr New results on integration on the Levi-Civita field. (English) Zbl 1300.26019 Indag. Math., New Ser. 24, No. 1, 199-211 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 26E30 12J25 28A20 46S10 PDF BibTeX XML Cite \textit{K. Shamseddine}, Indag. Math., New Ser. 24, No. 1, 199--211 (2013; Zbl 1300.26019) Full Text: DOI
Dalawat, Chandan Singh Primary units cyclotomic fields. (English) Zbl 1295.11123 Ann. Sci. Math. Qué. 36, No. 1, 93-98 (2012). MSC: 11R27 11R18 12J25 PDF BibTeX XML Cite \textit{C. S. Dalawat}, Ann. Sci. Math. Qué. 36, No. 1, 93--98 (2012; Zbl 1295.11123) Full Text: arXiv
Kuhlmann, Salma; Tressl, Marcus Comparison of exponential-logarithmic and logarithmic-exponential series. (English) Zbl 1267.12005 Math. Log. Q. 58, No. 6, 434-448 (2012). Reviewer: Arno Fehm (Konstanz) MSC: 12J15 12J10 13F25 12L12 13A18 03C60 PDF BibTeX XML Cite \textit{S. Kuhlmann} and \textit{M. Tressl}, Math. Log. Q. 58, No. 6, 434--448 (2012; Zbl 1267.12005) Full Text: DOI arXiv
Perez-Garcia, C.; Schikhof, W. H. New examples of non-archimedean Banach spaces and applications. (English) Zbl 1261.46071 Can. Math. Bull. 55, No. 4, 821-829 (2012). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 12J25 46B15 PDF BibTeX XML Cite \textit{C. Perez-Garcia} and \textit{W. H. Schikhof}, Can. Math. Bull. 55, No. 4, 821--829 (2012; Zbl 1261.46071) Full Text: DOI
Shamseddine, Khodr; Grafton, William Preliminary notes on Fourier series for functions on the Levi-Civita field. (English) Zbl 1254.30078 Int. J. Math. Anal., Ruse 6, No. 17-20, 941-950 (2012). MSC: 30G06 26E30 42A16 12J25 PDF BibTeX XML Cite \textit{K. Shamseddine} and \textit{W. Grafton}, Int. J. Math. Anal., Ruse 6, No. 17--20, 941--950 (2012; Zbl 1254.30078) Full Text: Link
Perez-Garcia, C. Bounded approximation properties in non-Archimedean Banach spaces. (English) Zbl 1255.46039 Math. Nachr. 285, No. 10, 1255-1263 (2012). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 46B28 PDF BibTeX XML Cite \textit{C. Perez-Garcia}, Math. Nachr. 285, No. 10, 1255--1263 (2012; Zbl 1255.46039) Full Text: DOI
Kaplan, Itay; Scanlon, Thomas; Wagner, Frank O. Artin-Schreier extensions in NIP and simple fields. (English) Zbl 1261.03120 Isr. J. Math. 185, 141-153 (2011). Reviewer: Artem Chernikov (Jerusalem) MSC: 03C60 03C45 12Fxx 12J25 12L12 PDF BibTeX XML Cite \textit{I. Kaplan} et al., Isr. J. Math. 185, 141--153 (2011; Zbl 1261.03120) Full Text: DOI arXiv
Shamseddine, Khodr Absolute and relative extrema, the mean value theorem and the inverse function theorem for analytic functions on a Levi-Civita field. (English) Zbl 1253.26050 Araujo-Gomez, Jesus (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). Contemporary Mathematics 551, 257-268 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 26E30 12J25 30G06 PDF BibTeX XML Cite \textit{K. Shamseddine}, Contemp. Math. 551, 257--268 (2011; Zbl 1253.26050)
Priess-Crampe, Sibylla Norm Hilbert spaces with uncountable orthogonal basis. (English) Zbl 1242.46092 Araujo-Gomez, Jesus (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). Contemporary Mathematics 551, 243-255 (2011). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 12J10 PDF BibTeX XML Cite \textit{S. Priess-Crampe}, Contemp. Math. 551, 243--255 (2011; Zbl 1242.46092)
Katsaras, A. K.; Khan, L. A.; Khan, A. R. On maximal closed ideals in topological algebras of continuous vector-valued functions over non-Archimedean valued fields. (English) Zbl 1244.46039 Araujo-Gomez, Jesus (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). Contemporary Mathematics 551, 135-141 (2011). MSC: 46S10 46E10 46H10 46H25 PDF BibTeX XML Cite \textit{A. K. Katsaras} et al., Contemp. Math. 551, 135--141 (2011; Zbl 1244.46039)
Diarra, Bertin The Lipschitz condition for rational functions on ultrametric valued fields. (English) Zbl 1246.30077 Araujo-Gomez, Jesus (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). Contemporary Mathematics 551, 91-103 (2011). Reviewer: Khodr Shamseddine (Winnipeg) MSC: 30G06 12J25 32P05 46S10 PDF BibTeX XML Cite \textit{B. Diarra}, Contemp. Math. 551, 91--103 (2011; Zbl 1246.30077)
Araujo-Gomez, Jesus (ed.); Diarra, Bertin (ed.); Escassut, Alain (ed.) Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. (English) Zbl 1222.46003 Contemporary Mathematics 551. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). x, 280 p. (2011). MSC: 46-06 12-06 11-06 00B25 26E30 12J25 11D88 11S80 32P05 46S10 PDF BibTeX XML Cite \textit{J. Araujo-Gomez} (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5--9, 2010. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1222.46003) Full Text: DOI
Khanduja, Sudesh K.; Khassa, Ramneek On invariants and strict systems of irreducible polynomials over Henselian valued fields. (English) Zbl 1233.12001 Commun. Algebra 39, No. 2, 584-593 (2011). Reviewer: Oleksandr Iena (Luxembourg) MSC: 12E05 12J10 12J25 PDF BibTeX XML Cite \textit{S. K. Khanduja} and \textit{R. Khassa}, Commun. Algebra 39, No. 2, 584--593 (2011; Zbl 1233.12001) Full Text: DOI
Natarajan, P. N. On sequences of zeros and ones in non-archimedean analysis - a further study. (English) Zbl 1245.40006 Afr. Diaspora J. Math. 10, No. 1, 49-54 (2010). MSC: 40J05 46S10 12J25 PDF BibTeX XML Cite \textit{P. N. Natarajan}, Afr. Diaspora J. Math. 10, No. 1, 49--54 (2010; Zbl 1245.40006) Full Text: Euclid
Baudisch, Andreas (ed.); Pillay, Anand (ed.); Tent, Katrin (ed.); Ziegler, Martin (ed.) Model theory: around valued fields and dependent theories. Abstracts from the workshop held January 3rd – January 9th, 2010. (English) Zbl 1209.00034 Oberwolfach Rep. 7, No. 1, 5-53 (2010). MSC: 00B05 03-06 12-06 03Cxx 03C45 12J10 12J25 PDF BibTeX XML Cite \textit{A. Baudisch} (ed.) et al., Oberwolfach Rep. 7, No. 1, 5--53 (2010; Zbl 1209.00034) Full Text: DOI Link
Markwig, T. A field of generalised Puiseux series for tropical geometry. (English) Zbl 1204.12010 Rend. Semin. Mat., Univ. Politec. Torino 68, No. 1, 79-92 (2010). Reviewer: Khodr Shamseddine (Winnipeg) MSC: 12J25 16W60 13F25 13F30 14T05 PDF BibTeX XML Cite \textit{T. Markwig}, Rend. Semin. Mat., Univ. Politec. Torino 68, No. 1, 79--92 (2010; Zbl 1204.12010) Full Text: arXiv
Ochsenius, Herminia; Schikhof, Wim H. Compact perturbations of Fredholm operators on norm Hilbert spaces over Krull valued fields. (English) Zbl 1207.47086 Berz, Martin (ed.) et al., Advances in \(p\)-adic and non-Archimedean analysis. Tenth international conference, Michigan State University, East Lansing, MI, USA, June 30–July 3, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4740-4/pbk). Contemporary Mathematics 508, 147-159 (2010). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 47S10 46S10 47A53 PDF BibTeX XML Cite \textit{H. Ochsenius} and \textit{W. H. Schikhof}, Contemp. Math. 508, 147--159 (2010; Zbl 1207.47086)
Diarra, Bertin Some subalgebras of the algebra of bounded linear operators of the one variable Tate algebra. (English) Zbl 1211.46078 Berz, Martin (ed.) et al., Advances in \(p\)-adic and non-Archimedean analysis. Tenth international conference, Michigan State University, East Lansing, MI, USA, June 30–July 3, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4740-4/pbk). Contemporary Mathematics 508, 13-34 (2010). MSC: 46S10 47S10 12J27 16W60 PDF BibTeX XML Cite \textit{B. Diarra}, Contemp. Math. 508, 13--34 (2010; Zbl 1211.46078)
Papadimitropoulos, Christos Salem sets in local fields, the Fourier restriction phenomenon and the Hausdorff-Young inequality. (English) Zbl 1197.43005 J. Funct. Anal. 259, No. 1, 1-27 (2010). Reviewer: Daniel Li (Lens) MSC: 43A46 11S99 12J10 12J25 43A25 PDF BibTeX XML Cite \textit{C. Papadimitropoulos}, J. Funct. Anal. 259, No. 1, 1--27 (2010; Zbl 1197.43005) Full Text: DOI
Shamseddine, Khodr On the topological structure of the Levi-Civita field. (English) Zbl 1190.26036 J. Math. Anal. Appl. 368, No. 1, 281-292 (2010). MSC: 26E30 12J25 PDF BibTeX XML Cite \textit{K. Shamseddine}, J. Math. Anal. Appl. 368, No. 1, 281--292 (2010; Zbl 1190.26036) Full Text: DOI
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. Theory of \(p\)-adic distributions. Linear and nonlinear models. (English) Zbl 1198.46001 London Mathematical Society Lecture Note Series 370. Cambridge: Cambridge University Press (ISBN 978-0-521-14856-6/pbk). xvi, 351 p. (2010). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46-02 46S10 46F05 46F30 42C40 35S05 47G30 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Theory of \(p\)-adic distributions. Linear and nonlinear models. Cambridge: Cambridge University Press (2010; Zbl 1198.46001)
Perez-Garcia, C.; Schikhof, W. H. Locally convex spaces over non-Archimedean valued fields. (English) Zbl 1193.46001 Cambridge Studies in Advanced Mathematics 119. Cambridge: Cambridge University Press (ISBN 978-0-521-19243-9/hbk). xiv, 472 p. (2010). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46-02 46S10 47S10 12J25 PDF BibTeX XML Cite \textit{C. Perez-Garcia} and \textit{W. H. Schikhof}, Locally convex spaces over non-Archimedean valued fields. Cambridge: Cambridge University Press (2010; Zbl 1193.46001) Backlinks: MO
Favre, Charles; Rivera-Letelier, Juan Ergodic theory of rational maps over an ultrametric field. (Théorie ergodique des fractions rationnelles sur un corps ultramétrique.) (French) Zbl 1254.37064 Proc. Lond. Math. Soc. (3) 100, No. 1, 116-154 (2010). MSC: 37P50 11S82 12J25 37A25 37A30 37B40 PDF BibTeX XML Cite \textit{C. Favre} and \textit{J. Rivera-Letelier}, Proc. Lond. Math. Soc. (3) 100, No. 1, 116--154 (2010; Zbl 1254.37064) Full Text: DOI arXiv
Natarajan, P. N. A Tauberian theorem for weighted means in non-Archimedean fields. (English) Zbl 1267.40005 \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 4, 368-369 (2009). Reviewer: Edward Omey (Brussels) MSC: 40E05 12J25 40J05 PDF BibTeX XML Cite \textit{P. N. Natarajan}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 1, No. 4, 368--369 (2009; Zbl 1267.40005) Full Text: DOI
Shamseddine, Khodr; Rempel, Trevor; Sierens, Todd The implicit function theorem in a non-Archimedean setting. (English) Zbl 1217.26063 Indag. Math., New Ser. 20, No. 4, 603-617 (2009). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 26E30 12J25 26B10 PDF BibTeX XML Cite \textit{K. Shamseddine} et al., Indag. Math., New Ser. 20, No. 4, 603--617 (2009; Zbl 1217.26063) Full Text: DOI
Beckenstein, Edward; Narici, Lawrence Subadditive maps. (English) Zbl 1205.46039 Indian J. Math. 51, Suppl., 5-29 (2009). Reviewer: T. D. Narang (Amritsar) MSC: 46S10 46E25 54C35 PDF BibTeX XML Cite \textit{E. Beckenstein} and \textit{L. Narici}, Indian J. Math. 51, 5--29 (2009; Zbl 1205.46039)
Öke, Figen On residual transcendental extensions of \(v\) to \(K(x_1,\cdots ,x_n)\). (English) Zbl 1233.12009 Int. J. Algebra 3, No. 9-12, 497-502 (2009). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12J10 12J25 12F20 PDF BibTeX XML Cite \textit{F. Öke}, Int. J. Algebra 3, No. 9--12, 497--502 (2009; Zbl 1233.12009) Full Text: Link
Śliwa, Wiesław On metrizable non-Archimedean \(LF\)-spaces. (English) Zbl 1196.46057 Indag. Math., New Ser. 20, No. 2, 261-271 (2009). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 46A04 46A13 PDF BibTeX XML Cite \textit{W. Śliwa}, Indag. Math., New Ser. 20, No. 2, 261--271 (2009; Zbl 1196.46057) Full Text: DOI
Aghigh, Kamal On distinguished pairs with respect to a Henselian valued field. (English) Zbl 1216.12006 Hadronic J. 32, No. 2, 211-220 (2009). Reviewer: Ali Benhissi (Monastir) MSC: 12J10 12J25 13A18 PDF BibTeX XML Cite \textit{K. Aghigh}, Hadronic J. 32, No. 2, 211--220 (2009; Zbl 1216.12006)
Öke, Figen; Çengellenmiş, Yasemin On maximally completions of \(K(x,y)\). (English) Zbl 1232.12008 Int. J. Algebra 3, No. 1-4, 149-155 (2009). Reviewer: Sudesh Kaur Khanduja (Mohali) MSC: 12J10 12J25 12F20 PDF BibTeX XML Cite \textit{F. Öke} and \textit{Y. Çengellenmiş}, Int. J. Algebra 3, No. 1--4, 149--155 (2009; Zbl 1232.12008) Full Text: Link
Natarajan, P. N. Some results on certain summability methods in non-Archimedean fields. (English) Zbl 1271.40002 J. Comb. Inf. Syst. Sci. 33, No. 1-2, 151-161 (2008). MSC: 40G05 12J25 PDF BibTeX XML Cite \textit{P. N. Natarajan}, J. Comb. Inf. Syst. Sci. 33, No. 1--2, 151--161 (2008; Zbl 1271.40002)
Ojeda, Jacqueline Hayman’s conjecture in a \(p\)-adic field. (English) Zbl 1189.30088 Taiwanese J. Math. 12, No. 9, 2295-2313 (2008). Reviewer: Khodr Shamseddine (Winnipeg) MSC: 30G06 12J25 32P05 PDF BibTeX XML Cite \textit{J. Ojeda}, Taiwanese J. Math. 12, No. 9, 2295--2313 (2008; Zbl 1189.30088) Full Text: DOI
Wang, Shuai Ling Approximation orders of formal Laurent series by \(\beta\)-expansions. (English) Zbl 1173.11046 Finite Fields Appl. 14, No. 4, 1039-1055 (2008). Reviewer: Jan Šustek (Ostrava) MSC: 11K55 11J61 12J25 PDF BibTeX XML Cite \textit{S. L. Wang}, Finite Fields Appl. 14, No. 4, 1039--1055 (2008; Zbl 1173.11046) Full Text: DOI
Evrard, S. Normal bases of rings of continuous functions constructed with the \((q_n)\)-digit principle. (English) Zbl 1214.11133 Acta Arith. 135, No. 3, 219-230 (2008). MSC: 11S85 11S80 12J25 26E30 46S10 PDF BibTeX XML Cite \textit{S. Evrard}, Acta Arith. 135, No. 3, 219--230 (2008; Zbl 1214.11133) Full Text: DOI
Moslehian, Mohammad Sal; Sadeghi, Ghadir A Mazur–Ulam theorem in non-Archimedean normed spaces. (English) Zbl 1160.46049 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3405-3408 (2008). MSC: 46S10 47S10 26E30 12J25 PDF BibTeX XML Cite \textit{M. S. Moslehian} and \textit{G. Sadeghi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3405--3408 (2008; Zbl 1160.46049) Full Text: DOI arXiv
Ershov, Yu. L. Stable valued fields. (Russian, English) Zbl 1164.12004 Algebra Logika 46, No. 6, 707-728 (2007); translation in Algebra Logic 46, No. 6, 385-398 (2007). MSC: 12J10 46S10 PDF BibTeX XML Cite \textit{Yu. L. Ershov}, Algebra Logika 46, No. 6, 707--728 (2007; Zbl 1164.12004); translation in Algebra Logic 46, No. 6, 385--398 (2007) Full Text: DOI
Berz, Martin; Shamseddine, Khodr Intermediate value theorem for analytic functions on a Levi-Civita field. (English) Zbl 1181.26044 Bull. Belg. Math. Soc. - Simon Stevin 14, No. 5, 1001-1015 (2007). MSC: 26E30 30G06 46S10 12J25 PDF BibTeX XML Cite \textit{M. Berz} and \textit{K. Shamseddine}, Bull. Belg. Math. Soc. - Simon Stevin 14, No. 5, 1001--1015 (2007; Zbl 1181.26044) Full Text: Euclid
Katok, Svetlana \(p\)-adic analysis compared with real. (English) Zbl 1147.12003 Student Mathematical Library 37. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4220-1/pbk). xiii, 152 p. (2007). Reviewer: Cristina Pérez-García (Santander) MSC: 12J25 46S10 46-01 12-01 11S80 26E30 30G06 PDF BibTeX XML Cite \textit{S. Katok}, \(p\)-adic analysis compared with real. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1147.12003)
Schikhof, W. H. Ultrametric calculus. An introduction to \(p\)-adic analysis. Paperback reprint of the 1984 original. (English) Zbl 1152.26025 Cambridge Studies in Advanced Mathematics 4. Cambridge: Cambridge University Press (ISBN 978-0-521-03287-2/pbk). xii, 306 p. (2006). MSC: 26E30 12J25 11Sxx 11-01 12-01 26-01 PDF BibTeX XML Cite \textit{W. H. Schikhof}, Ultrametric calculus. An introduction to \(p\)-adic analysis. Paperback reprint of the 1984 original. Cambridge: Cambridge University Press (2006; Zbl 1152.26025)
Jones, John W.; Roberts, David P. A database of local fields. (English) Zbl 1140.11350 J. Symb. Comput. 41, No. 1, 80-97 (2006). MSC: 11S15 12J25 PDF BibTeX XML Cite \textit{J. W. Jones} and \textit{D. P. Roberts}, J. Symb. Comput. 41, No. 1, 80--97 (2006; Zbl 1140.11350) Full Text: DOI arXiv
Sivatski, A. S. On some elements of the Brauer group of a conic. (Russian, English) Zbl 1120.16019 Zap. Nauchn. Semin. POMI 338, 227-241 (2006); translation in J. Math. Sci., New York 145, No. 1, 4818-4822 (2007). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K20 12F99 12G99 12J25 14F22 14H45 11E81 16K50 PDF BibTeX XML Cite \textit{A. S. Sivatski}, Zap. Nauchn. Semin. POMI 338, 227--241 (2006; Zbl 1120.16019); translation in J. Math. Sci., New York 145, No. 1, 4818--4822 (2007) Full Text: Link
Biljakovic, Darko; Kochetov, Mikhail; Kuhlmann, Salma Primes and irreducibles in truncation integer parts of real closed fields. (English) Zbl 1107.03034 Enayat, Ali (ed.) et al., Logic in Tehran. Proceedings of the workshop and conference on logic, algebra and arithmetic, Tehran, Iran, October 18–22, 2003. Wellesley, MA: AK Peters (ISBN 1-56881-296-5/pbk; 1-56881-295-7/hbk). Lecture Notes in Logic 26, 42-64 (2006). MSC: 03C60 12J15 12J25 12L12 13J05 PDF BibTeX XML Cite \textit{D. Biljakovic} et al., Lect. Notes Log. 26, 42--64 (2006; Zbl 1107.03034)