Adédji, Kouèssi Norbert; Luca, Florian; Togbé, Alain On the solutions of the Diophantine equation \(F_n \pm \frac{a (10^m - 1)}{9} = k!\). (English) Zbl 07567845 J. Number Theory 240, 593-610 (2022). MSC: 11D59 11D09 11A55 PDF BibTeX XML Cite \textit{K. N. Adédji} et al., J. Number Theory 240, 593--610 (2022; Zbl 07567845) Full Text: DOI OpenURL
Adegbindin, Chefiath Awero; Luca, Florian; Togbé, Alain Pell and Pell-Lucas numbers as sums of three repdigits. (English) Zbl 1484.11006 Acta Math. Univ. Comen., New Ser. 90, No. 1, 7-25 (2021). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{C. A. Adegbindin} et al., Acta Math. Univ. Comen., New Ser. 90, No. 1, 7--25 (2021; Zbl 1484.11006) Full Text: Link OpenURL
Samsonov, Alekseĭ Sergeevich An application of methods for studying the algebraic independence of hypergeometric series and values of \(g\)-adic functions. (Russian. English summary) Zbl 1471.11215 Chebyshevskiĭ Sb. 22, No. 2(78), 528-535 (2021). MSC: 11J61 11J85 33C20 33E50 PDF BibTeX XML Cite \textit{A. S. Samsonov}, Chebyshevskiĭ Sb. 22, No. 2(78), 528--535 (2021; Zbl 1471.11215) Full Text: MNR OpenURL
Mun’os Vaskes, Ankhel’ Khorkheevich Arithmetic properties of the values some hypergeometric \(F\)-series. (Russian. English summary) Zbl 1476.11095 Chebyshevskiĭ Sb. 22, No. 2(78), 519-527 (2021). MSC: 11J61 11J85 33C20 PDF BibTeX XML Cite \textit{A. K. Mun'os Vaskes}, Chebyshevskiĭ Sb. 22, No. 2(78), 519--527 (2021; Zbl 1476.11095) Full Text: MNR OpenURL
Rayaguru, Sai Gopal; Panda, Gopal Krishna; Şiar, Zafer Associated Pell numbers which are repdigits or concatenation of two repdigits. (English) Zbl 1484.11057 Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 54, 12 p. (2021). MSC: 11B39 11J86 11B50 11D72 PDF BibTeX XML Cite \textit{S. G. Rayaguru} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 2, Paper No. 54, 12 p. (2021; Zbl 1484.11057) Full Text: DOI OpenURL
Vukusic, Ingrid; Ziegler, Volker On sums of Fibonacci numbers with few binary digits. (English) Zbl 07334616 Publ. Math. Debr. 98, No. 1-2, 157-181 (2021). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D61 11B39 11J86 11Y50 PDF BibTeX XML Cite \textit{I. Vukusic} and \textit{V. Ziegler}, Publ. Math. Debr. 98, No. 1--2, 157--181 (2021; Zbl 07334616) Full Text: DOI arXiv OpenURL
Guo, Victor J. W.; Schlosser, Michael J. Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. (English) Zbl 1462.33006 Constr. Approx. 53, No. 1, 155-200 (2021). Reviewer: Enzo Bonacci (Latina) MSC: 33D15 05A10 05A30 11A07 11F33 33D45 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Constr. Approx. 53, No. 1, 155--200 (2021; Zbl 1462.33006) Full Text: DOI arXiv OpenURL
Brock, Bradley W.; Elkies, Noam D.; Jordan, Bruce W. Periodic continued fractions over \(S\)-integers in number fields and Skolem’s \(p\)-adic method. (English) Zbl 1467.11064 Acta Arith. 197, No. 4, 379-420 (2021). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11J70 11G30 PDF BibTeX XML Cite \textit{B. W. Brock} et al., Acta Arith. 197, No. 4, 379--420 (2021; Zbl 1467.11064) Full Text: DOI arXiv OpenURL
Manning, Jeffrey; Shotton, Jack Ihara’s lemma for Shimura curves over totally real fields via patching. (English) Zbl 1472.11170 Math. Ann. 379, No. 1-2, 187-234 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11F33 11G18 PDF BibTeX XML Cite \textit{J. Manning} and \textit{J. Shotton}, Math. Ann. 379, No. 1--2, 187--234 (2021; Zbl 1472.11170) Full Text: DOI arXiv OpenURL
Munos Vaskes, Ankhel Khorkheevich Lower estimates of polynomials and linear forms in the values of \(F\)-series. (Russian. English summary) Zbl 1470.11197 Chebyshevskiĭ Sb. 21, No. 3(75), 142-164 (2020). MSC: 11J61 11J85 33C20 PDF BibTeX XML Cite \textit{A. K. Munos Vaskes}, Chebyshevskiĭ Sb. 21, No. 3(75), 142--164 (2020; Zbl 1470.11197) Full Text: MNR OpenURL
Chen, Shih-Yu; Hsieh, Ming-Lun On primitive \(p\)-adic Rankin-Selberg \(L\)-functions. (English) Zbl 1473.11093 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 195-242 (2020). MSC: 11F33 11F67 PDF BibTeX XML Cite \textit{S.-Y. Chen} and \textit{M.-L. Hsieh}, Adv. Stud. Pure Math. 86, 195--242 (2020; Zbl 1473.11093) Full Text: DOI OpenURL
Chen, Chao Hasse polynomials of \(L\)-functions of certain exponential sums. (English) Zbl 1456.11230 Finite Fields Appl. 68, Article ID 101736, 19 p. (2020). MSC: 11T23 11S40 11L07 PDF BibTeX XML Cite \textit{C. Chen}, Finite Fields Appl. 68, Article ID 101736, 19 p. (2020; Zbl 1456.11230) Full Text: DOI arXiv OpenURL
Dahan, Xavier; Vaccon, Tristan On a non-Archimedean Broyden method. (English) Zbl 07300061 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 114-121 (2020). MSC: 68W30 PDF BibTeX XML Cite \textit{X. Dahan} and \textit{T. Vaccon}, in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 114--121 (2020; Zbl 07300061) Full Text: DOI arXiv HAL OpenURL
David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto Can polylogarithms at algebraic points be linearly independent? (English) Zbl 1459.11144 Mosc. J. Comb. Number Theory 9, No. 4, 389-406 (2020). Reviewer: István Gaál (Debrecen) MSC: 11G55 11J72 11J82 11J86 11M35 11D75 11D88 PDF BibTeX XML Cite \textit{S. David} et al., Mosc. J. Comb. Number Theory 9, No. 4, 389--406 (2020; Zbl 1459.11144) Full Text: DOI arXiv OpenURL
Beacom, Jamie Computation of the unipotent Albanese map on elliptic and hyperelliptic curves. (English. French summary) Zbl 1472.11173 Ann. Math. Qué. 44, No. 2, 201-259 (2020). Reviewer: Nicholas Triantafillou (Athens) MSC: 11G05 11G30 11S80 11Y40 PDF BibTeX XML Cite \textit{J. Beacom}, Ann. Math. Qué. 44, No. 2, 201--259 (2020; Zbl 1472.11173) Full Text: DOI arXiv OpenURL
Rayaguru, Sai Gopal; Odjoumani, Japhet; Panda, Gopal Krishna Factoriangular numbers in balancing and Lucas-balancing sequence. (English) Zbl 1480.11025 Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 865-878 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11B39 11D45 11J86 PDF BibTeX XML Cite \textit{S. G. Rayaguru} et al., Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 865--878 (2020; Zbl 1480.11025) Full Text: DOI OpenURL
Dan-Cohen, Ishai; Corwin, David The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory. II. (English) Zbl 1482.11094 Trans. Am. Math. Soc. 373, No. 10, 6835-6861 (2020). Reviewer: Nicholas Triantafillou (Athens) MSC: 11G55 14F35 14F42 14G05 14F30 PDF BibTeX XML Cite \textit{I. Dan-Cohen} and \textit{D. Corwin}, Trans. Am. Math. Soc. 373, No. 10, 6835--6861 (2020; Zbl 1482.11094) Full Text: DOI arXiv OpenURL
Liu, Zheng \(p\)-adic \(L\)-functions for ordinary families on symplectic groups. (English) Zbl 1469.11091 J. Inst. Math. Jussieu 19, No. 4, 1287-1347 (2020). MSC: 11F33 11F46 11F67 11F60 11F30 11G18 PDF BibTeX XML Cite \textit{Z. Liu}, J. Inst. Math. Jussieu 19, No. 4, 1287--1347 (2020; Zbl 1469.11091) Full Text: DOI OpenURL
Rayaguru, Sai Gopal; Panda, Gopal Krishna; Togbe, Alain On Diophantine, pronic and triangular triples of balancing numbers. (English) Zbl 1459.11046 Math. Commun. 25, No. 1, 137-155 (2020). MSC: 11B39 11D61 11J86 PDF BibTeX XML Cite \textit{S. G. Rayaguru} et al., Math. Commun. 25, No. 1, 137--155 (2020; Zbl 1459.11046) Full Text: Link OpenURL
Adegbindin, Chèfiath; Luca, Florian; Togbé, Alain Pell and Pell-Lucas numbers as sums of two repdigits. (English) Zbl 1452.11020 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1253-1271 (2020). MSC: 11B39 11D09 11J86 PDF BibTeX XML Cite \textit{C. Adegbindin} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1253--1271 (2020; Zbl 1452.11020) Full Text: DOI OpenURL
Mercuri, Salvatore The \(p\)-adic \(L\)-function for half-integral weight modular forms. (English) Zbl 1470.11099 Manuscr. Math. 161, No. 1-2, 61-91 (2020). MSC: 11F37 11F66 11F85 PDF BibTeX XML Cite \textit{S. Mercuri}, Manuscr. Math. 161, No. 1--2, 61--91 (2020; Zbl 1470.11099) Full Text: DOI OpenURL
de Mathan, Bernard On the \(p\)-adic rational approximation. (Sur l’approximation rationnelle \(p\)-adique.) (English. French summary) Zbl 1457.11098 J. Théor. Nombres Bordx. 31, No. 2, 417-430 (2019). MSC: 11J13 11J61 11J86 PDF BibTeX XML Cite \textit{B. de Mathan}, J. Théor. Nombres Bordx. 31, No. 2, 417--430 (2019; Zbl 1457.11098) Full Text: DOI OpenURL
Krupitsin, Evgeniĭ Stanislavovich Arithmetic properties of series of some classes. (Russian. English summary) Zbl 1445.11065 Chebyshevskiĭ Sb. 20, No. 2(70), 374-382 (2019). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11J85 PDF BibTeX XML Cite \textit{E. S. Krupitsin}, Chebyshevskiĭ Sb. 20, No. 2(70), 374--382 (2019; Zbl 1445.11065) Full Text: MNR OpenURL
Adrian, Moshe; Kaplan, Eyal The Langlands parameter of a simple supercuspidal representation: symplectic groups. (English) Zbl 1458.11165 Ramanujan J. 50, No. 3, 589-619 (2019). MSC: 11S37 11F70 22E50 11F85 22E55 PDF BibTeX XML Cite \textit{M. Adrian} and \textit{E. Kaplan}, Ramanujan J. 50, No. 3, 589--619 (2019; Zbl 1458.11165) Full Text: DOI arXiv OpenURL
Ballaÿ, François Linear independence measures of logarithms on a commutative algebraic group in the rational case. (Mesures d’indépendance linéaire de logarithmes dans un groupe algébrique commutatif dans le cas rationnel.) (French. English summary) Zbl 1436.11088 Diss. Math. 543, 1-78 (2019). Reviewer: Michel Waldschmidt (Paris) MSC: 11J86 11J61 14G40 PDF BibTeX XML Cite \textit{F. Ballaÿ}, Diss. Math. 543, 1--78 (2019; Zbl 1436.11088) Full Text: DOI OpenURL
Luca, Florian; Normenyo, Benedict Vasco; Togbé, Alain Repdigits as sums of four Pell numbers. (English) Zbl 1455.11019 Bol. Soc. Mat. Mex., III. Ser. 25, No. 2, 249-266 (2019). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11A63 11B39 11J86 PDF BibTeX XML Cite \textit{F. Luca} et al., Bol. Soc. Mat. Mex., III. Ser. 25, No. 2, 249--266 (2019; Zbl 1455.11019) Full Text: DOI OpenURL
Luca, Florian; Normenyo, Benedict Vasco; Togbé, Alain Repdigits as sums of three Lucas numbers. (English) Zbl 1459.11041 Colloq. Math. 156, No. 2, 255-265 (2019). Reviewer: Krassimir Atanassov (Sofia) MSC: 11B39 11A63 11J86 PDF BibTeX XML Cite \textit{F. Luca} et al., Colloq. Math. 156, No. 2, 255--265 (2019; Zbl 1459.11041) Full Text: DOI OpenURL
Guo, Victor J. W. A \(q\)-analogue of a curious supercongruence of guillera and zudilin. (English) Zbl 1411.11021 J. Difference Equ. Appl. 25, No. 3, 342-350 (2019). MSC: 11B65 11F33 05A10 05A30 65Q99 PDF BibTeX XML Cite \textit{V. J. W. Guo}, J. Difference Equ. Appl. 25, No. 3, 342--350 (2019; Zbl 1411.11021) Full Text: DOI OpenURL
Stoll, Michael Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. (English) Zbl 1428.11122 J. Eur. Math. Soc. (JEMS) 21, No. 3, 923-956 (2019). Reviewer: Sungkon Chang (Savannah) MSC: 11G30 14G05 14G25 14H25 14H40 PDF BibTeX XML Cite \textit{M. Stoll}, J. Eur. Math. Soc. (JEMS) 21, No. 3, 923--956 (2019; Zbl 1428.11122) Full Text: DOI arXiv OpenURL
Pourhadi, Ehsan; Khrennikov, A. Yu. On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over \(p\)-adic field. (English) Zbl 07090162 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 322-343 (2018). MSC: 65Lxx 65-XX 35Qxx 65Zxx 37-XX PDF BibTeX XML Cite \textit{E. Pourhadi} and \textit{A. Yu. Khrennikov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 322--343 (2018; Zbl 07090162) Full Text: DOI OpenURL
Bleybel, Ali A note on complex \(p\)-adic exponential fields. (English) Zbl 1436.11086 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 267-275 (2018). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J85 PDF BibTeX XML Cite \textit{A. Bleybel}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 4, 267--275 (2018; Zbl 1436.11086) Full Text: DOI arXiv OpenURL
Kurinczuk, R.; Matringe, N. Extension of Whittaker functions and test vectors. (English) Zbl 1444.11101 Res. Number Theory 4, No. 3, Paper No. 31, 18 p. (2018). MSC: 11F70 11F66 PDF BibTeX XML Cite \textit{R. Kurinczuk} and \textit{N. Matringe}, Res. Number Theory 4, No. 3, Paper No. 31, 18 p. (2018; Zbl 1444.11101) Full Text: DOI arXiv OpenURL
Normenyo, Benedict Vasco; Luca, Florian; Togbé, Alain Repdigits as sums of three Pell numbers. (English) Zbl 1413.11008 Period. Math. Hung. 77, No. 2, 318-328 (2018). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11A25 11B39 11J86 PDF BibTeX XML Cite \textit{B. V. Normenyo} et al., Period. Math. Hung. 77, No. 2, 318--328 (2018; Zbl 1413.11008) Full Text: DOI OpenURL
Bendikov, A.; Braverman, A.; Pike, J. Poisson statistics of eigenvalues in the hierarchical Dyson model. (English) Zbl 1414.60051 Theory Probab. Appl. 63, No. 1, 94-116 (2018) and Teor. Veroyatn. Primen. 63, No. 1, 117-144 (2018). MSC: 60H25 60B10 60F05 60G55 82B26 PDF BibTeX XML Cite \textit{A. Bendikov} et al., Theory Probab. Appl. 63, No. 1, 94--116 (2018; Zbl 1414.60051) Full Text: DOI arXiv OpenURL
Balakrishnan, Jennifer S.; Dogra, Netan Quadratic Chabauty and rational points. I: \(p\)-adic heights. (English) Zbl 1401.14123 Duke Math. J. 167, No. 11, 1981-2038 (2018). Reviewer: Michel Waldschmidt (Paris) MSC: 14G05 11G50 14G40 PDF BibTeX XML Cite \textit{J. S. Balakrishnan} and \textit{N. Dogra}, Duke Math. J. 167, No. 11, 1981--2038 (2018; Zbl 1401.14123) Full Text: DOI arXiv OpenURL
Mitra, Arnab; Spallone, Steven Towards a Goldberg-Shahidi pairing for classical groups. (English) Zbl 1386.22007 Forum Math. 30, No. 2, 347-384 (2018). MSC: 22E35 22E50 PDF BibTeX XML Cite \textit{A. Mitra} and \textit{S. Spallone}, Forum Math. 30, No. 2, 347--384 (2018; Zbl 1386.22007) Full Text: DOI arXiv OpenURL
Calegari, Frank; Geraghty, David Modularity lifting beyond the Taylor-Wiles method. (English) Zbl 1476.11078 Invent. Math. 211, No. 1, 297-433 (2018); correction ibid. 227, No. 2, 855-856 (2022). Reviewer: Imin Chen (Burnaby) MSC: 11F33 11F80 PDF BibTeX XML Cite \textit{F. Calegari} and \textit{D. Geraghty}, Invent. Math. 211, No. 1, 297--433 (2018; Zbl 1476.11078) Full Text: DOI arXiv OpenURL
Bugeaud, Yann Effective irrationality measures for real and \(p\)-adic roots of rational numbers close to \(1\), with an application to parametric families of Thue-Mahler equations. (English) Zbl 1439.11172 Math. Proc. Camb. Philos. Soc. 164, No. 1, 99-108 (2018). Reviewer: Michel Waldschmidt (Paris) MSC: 11J82 11D59 11D61 11J68 11J86 PDF BibTeX XML Cite \textit{Y. Bugeaud}, Math. Proc. Camb. Philos. Soc. 164, No. 1, 99--108 (2018; Zbl 1439.11172) Full Text: DOI arXiv OpenURL
Guo, Victor J. W. A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients. (English) Zbl 1373.05025 J. Math. Anal. Appl. 458, No. 1, 590-600 (2018). MSC: 05A30 05A10 11B65 11A07 11F33 11Y55 PDF BibTeX XML Cite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 458, No. 1, 590--600 (2018; Zbl 1373.05025) Full Text: DOI OpenURL
Rabago, Julius Fergy T. Solving higher-order \(p\)-adic polynomial equations via Newton-Raphson method. (English) Zbl 07174150 Malays. J. Math. Sci. 11, No. 1, 41-51 (2017). MSC: 65-XX 11-XX PDF BibTeX XML Cite \textit{J. F. T. Rabago}, Malays. J. Math. Sci. 11, No. 1, 41--51 (2017; Zbl 07174150) Full Text: Link OpenURL
Bugeaud, Yann; Evertse, Jan-Hendrik \(S\)-parts of terms of integer linear recurrence sequences. (English) Zbl 1434.11042 Mathematika 63, No. 3, 840-851 (2017). Reviewer: Mahadi Ddamulira (Graz) MSC: 11B37 11J86 11J87 PDF BibTeX XML Cite \textit{Y. Bugeaud} and \textit{J.-H. Evertse}, Mathematika 63, No. 3, 840--851 (2017; Zbl 1434.11042) Full Text: DOI arXiv OpenURL
Brandes, Julia The Hasse principle for systems of quadratic and cubic diagonal equations. (English) Zbl 1422.11072 Q. J. Math. 68, No. 3, 831-850 (2017). Reviewer: Stephan Baier (Haora) MSC: 11D72 11D45 11P55 11E72 PDF BibTeX XML Cite \textit{J. Brandes}, Q. J. Math. 68, No. 3, 831--850 (2017; Zbl 1422.11072) Full Text: DOI arXiv OpenURL
Do, Anh Tuan \(p\)-adic admissible measures attached to Siegel modular forms of arbitrary genus. (English) Zbl 1433.11056 Vietnam J. Math. 45, No. 4, 695-711 (2017). MSC: 11F67 11F46 PDF BibTeX XML Cite \textit{A. T. Do}, Vietnam J. Math. 45, No. 4, 695--711 (2017; Zbl 1433.11056) Full Text: DOI OpenURL
Dung, Duong H.; Voll, Christopher Uniform analytic properties of representation zeta functions of finitely generated nilpotent groups. (English) Zbl 1475.20059 Trans. Am. Math. Soc. 369, No. 9, 6327-6349 (2017). MSC: 20F18 20E18 20F69 11M41 22E55 20F05 PDF BibTeX XML Cite \textit{D. H. Dung} and \textit{C. Voll}, Trans. Am. Math. Soc. 369, No. 9, 6327--6349 (2017; Zbl 1475.20059) Full Text: DOI arXiv OpenURL
Dung, Duong Hoang Representation growth of the Heisenberg group over \(\mathcal{O}[x]/(x^3)\). (English) Zbl 1425.11154 J. Algebra Appl. 16, No. 4, Article ID 1750077, 13 p. (2017). MSC: 11M41 20G05 20G30 20F18 22E55 PDF BibTeX XML Cite \textit{D. H. Dung}, J. Algebra Appl. 16, No. 4, Article ID 1750077, 13 p. (2017; Zbl 1425.11154) Full Text: DOI arXiv OpenURL
Balakrishnan, Jennifer S.; Besser, Amnon; Müller, J. Steffen Computing integral points on hyperelliptic curves using quadratic Chabauty. (English) Zbl 1376.11053 Math. Comput. 86, No. 305, 1403-1434 (2017). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 11S80 11Y50 14G40 PDF BibTeX XML Cite \textit{J. S. Balakrishnan} et al., Math. Comput. 86, No. 305, 1403--1434 (2017; Zbl 1376.11053) Full Text: DOI arXiv OpenURL
Soydan, G.; Tzanakis, N. Complete solution of the Diophantine equation \(x^2+5^a\cdot 11^b = y^n\). (English) Zbl 1425.11059 Bull. Hell. Math. Soc. 60, 125-151 (2016). MSC: 11D61 11D59 11D41 11J86 11Y40 PDF BibTeX XML Cite \textit{G. Soydan} and \textit{N. Tzanakis}, Bull. Hell. Math. Soc. 60, 125--151 (2016; Zbl 1425.11059) Full Text: arXiv Link OpenURL
Dossavi-Yovo, Appolinaire; Luca, Florian; Togbé, Alain On the \(x\)-coordinates of Pell equations which are rep-digits. (English) Zbl 1389.11076 Publ. Math. Debr. 88, No. 3-4, 381-399 (2016). Reviewer: Attila Bérczes (Debrecen) MSC: 11D09 11J86 11A63 PDF BibTeX XML Cite \textit{A. Dossavi-Yovo} et al., Publ. Math. Debr. 88, No. 3--4, 381--399 (2016; Zbl 1389.11076) Full Text: DOI OpenURL
Fuchs, Clemens; Pham, Duc Hiep Some applications of the \(p\)-adic analytic subgroup theorem. (English) Zbl 1417.11134 Glas. Mat., III. Ser. 51, No. 2, 335-343 (2016). MSC: 11J86 11G05 14L10 PDF BibTeX XML Cite \textit{C. Fuchs} and \textit{D. H. Pham}, Glas. Mat., III. Ser. 51, No. 2, 335--343 (2016; Zbl 1417.11134) Full Text: DOI arXiv OpenURL
Rabago, Julius Fergy Tiongson Olver’s method for solving roots of \(p\)-adic polynomial equations. (English) Zbl 1383.11124 Ital. J. Pure Appl. Math. 36, 739-748 (2016). MSC: 11S05 65H04 PDF BibTeX XML Cite \textit{J. F. T. Rabago}, Ital. J. Pure Appl. Math. 36, 739--748 (2016; Zbl 1383.11124) Full Text: arXiv Link OpenURL
Johansson, Christian A trace formula approach to control theorems for overconvergent automorphic forms. (English) Zbl 1404.11086 Manuscr. Math. 151, No. 1-2, 19-48 (2016). MSC: 11G18 11F33 14F30 14G35 PDF BibTeX XML Cite \textit{C. Johansson}, Manuscr. Math. 151, No. 1--2, 19--48 (2016; Zbl 1404.11086) Full Text: DOI arXiv Link OpenURL
Kim, Young-Hee; Kim, H. M.; Choi, Jongsung Newton’s method for computing the fifth roots of \(p\)-adic numbers. (English) Zbl 1400.65025 J. Comput. Anal. Appl. 20, No. 2, 353-362 (2016). MSC: 65H04 11S99 PDF BibTeX XML Cite \textit{Y.-H. Kim} et al., J. Comput. Anal. Appl. 20, No. 2, 353--362 (2016; Zbl 1400.65025) OpenURL
Maktouf, Khemais Character formula of representations associated with a closed orbit. (La formule du caractère des représentations associées à une orbite fermée.) (French. English summary) Zbl 1405.22024 Bull. Sci. Math. 139, No. 3, 301-336 (2015). MSC: 22E50 22E35 PDF BibTeX XML Cite \textit{K. Maktouf}, Bull. Sci. Math. 139, No. 3, 301--336 (2015; Zbl 1405.22024) Full Text: DOI OpenURL
Voll, Christopher Zeta functions of groups and rings – recent developments. (English) Zbl 1377.11103 Campbell, C.M. (ed.) et al., Groups St Andrews 2013. Selected papers of the conference, St. Andrews, UK, August 3–11, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-51454-6/pbk; 978-1-316-22734-3/ebook). London Mathematical Society Lecture Note Series 422, 469-492 (2015). Reviewer: Benjamin Klopsch (Düsseldorf) MSC: 11M41 20C15 20E07 20F18 20F69 20G25 20G30 11S80 11-02 20-02 PDF BibTeX XML Cite \textit{C. Voll}, Lond. Math. Soc. Lect. Note Ser. 422, 469--492 (2015; Zbl 1377.11103) Full Text: DOI arXiv OpenURL
Bundschuh, Peter; Chirskii, Vladimir G. Estimating polynomials over \(\mathbb Z_p\) at points from \(\mathbb C_p\). (English) Zbl 1387.11049 Mosc. J. Comb. Number Theory 5, No. 1-2, 14-20 (2015). MSC: 11J61 11J85 PDF BibTeX XML Cite \textit{P. Bundschuh} and \textit{V. G. Chirskii}, Mosc. J. Comb. Number Theory 5, No. 1--2, 14--20 (2015; Zbl 1387.11049) OpenURL
Bellaïche, Joël; Soundararajan, Kannan The number of nonzero coefficients of modular forms mod \(p\). (English) Zbl 1379.11053 Algebra Number Theory 9, No. 8, 1825-1856 (2015). MSC: 11F33 11F25 11N25 11N37 PDF BibTeX XML Cite \textit{J. Bellaïche} and \textit{K. Soundararajan}, Algebra Number Theory 9, No. 8, 1825--1856 (2015; Zbl 1379.11053) Full Text: DOI arXiv OpenURL
Blomer, Valentin; Milićević, Djordje \(p\)-adic analytic twists and strong subconvexity. (Twists \(p\)-adiques analytiques et sous-convexité forte.) (English. French summary) Zbl 1401.11095 Ann. Sci. Éc. Norm. Supér. (4) 48, No. 3, 561-605 (2015). MSC: 11F66 11L40 PDF BibTeX XML Cite \textit{V. Blomer} and \textit{D. Milićević}, Ann. Sci. Éc. Norm. Supér. (4) 48, No. 3, 561--605 (2015; Zbl 1401.11095) Full Text: DOI Link OpenURL
Jadrijević, Borka On elements with index of the form \(2^a3^b\) in a parametric family of biquadratic fields. (English) Zbl 1387.11026 Glas. Mat., III. Ser. 50, No. 1, 43-63 (2015). MSC: 11D57 11A55 11J86 11J68 11Y50 PDF BibTeX XML Cite \textit{B. Jadrijević}, Glas. Mat., III. Ser. 50, No. 1, 43--63 (2015; Zbl 1387.11026) Full Text: DOI Link OpenURL
Chirskii, V. G. Arithmetic properties of Euler series. (English. Russian original) Zbl 1330.11047 Mosc. Univ. Math. Bull. 70, No. 1, 41-43 (2015); translation from Vestn. Mosk. Univ., Ser. I 70, No. 1, 59-61 (2015). MSC: 11J61 11J72 11J85 34M15 34M35 PDF BibTeX XML Cite \textit{V. G. Chirskii}, Mosc. Univ. Math. Bull. 70, No. 1, 41--43 (2015; Zbl 1330.11047); translation from Vestn. Mosk. Univ., Ser. I 70, No. 1, 59--61 (2015) Full Text: DOI OpenURL
Eischen, Ellen E. A \(p\)-adic Eisenstein measure for unitary groups. (English) Zbl 1322.11040 J. Reine Angew. Math. 699, 111-142 (2015). Reviewer: Xiao Liang (Storrs) MSC: 11F33 11R23 11F55 11F85 PDF BibTeX XML Cite \textit{E. E. Eischen}, J. Reine Angew. Math. 699, 111--142 (2015; Zbl 1322.11040) Full Text: DOI arXiv OpenURL
Zannier, Umberto (ed.) Colloquium De Giorgi 2013 and 2014. Lectures from the colloquium, Scuola Normale Superiore, Pisa, Italy, 2013 and 2014. (English) Zbl 1310.11005 Colloquia 5. Pisa: Edizioni della Normale (ISBN 978-88-7642-514-1/pbk). xv, 137 p. (2015). MSC: 11-06 11F11 11J85 11M26 14C30 14F30 12F10 52A40 01A70 00A30 00B25 PDF BibTeX XML Cite \textit{U. Zannier} (ed.), Colloquium De Giorgi 2013 and 2014. Lectures from the colloquium, Scuola Normale Superiore, Pisa, Italy, 2013 and 2014. Pisa: Edizioni della Normale (2015; Zbl 1310.11005) Full Text: DOI OpenURL
Awtrey, Chad; Barkley, Brett; Guinn, Jeremy; McCraw, Mackenzie Resolvents, masses, and Galois groups of irreducible quartic polynomials. (English) Zbl 1360.11108 Pi Mu Epsilon J. 13, No. 10, 609-618 (2014). MSC: 11R09 12F10 11S05 PDF BibTeX XML Cite \textit{C. Awtrey} et al., Pi Mu Epsilon J. 13, No. 10, 609--618 (2014; Zbl 1360.11108) OpenURL
Marques, Diego Generalized Fibonacci numbers of the form \(2^a + 3^b + 5^c\). (English) Zbl 1366.11030 Bull. Braz. Math. Soc. (N.S.) 45, No. 3, 543-557 (2014). MSC: 11B39 11J86 PDF BibTeX XML Cite \textit{D. Marques}, Bull. Braz. Math. Soc. (N.S.) 45, No. 3, 543--557 (2014; Zbl 1366.11030) Full Text: DOI OpenURL
Bennett, Michael A.; Bugeaud, Yann Perfect powers with three digits. (English) Zbl 1372.11009 Mathematika 60, No. 1, 66-84 (2014). MSC: 11A63 11D61 11J86 PDF BibTeX XML Cite \textit{M. A. Bennett} and \textit{Y. Bugeaud}, Mathematika 60, No. 1, 66--84 (2014; Zbl 1372.11009) Full Text: DOI OpenURL
Chen, Shi-Chao Arithmetic properties of a partition pair function. (English) Zbl 1307.11105 Int. J. Number Theory 10, No. 6, 1583-1594 (2014). Reviewer: Jeremy Lovejoy (Paris) MSC: 11P83 11F03 11F33 11P55 PDF BibTeX XML Cite \textit{S.-C. Chen}, Int. J. Number Theory 10, No. 6, 1583--1594 (2014; Zbl 1307.11105) Full Text: DOI OpenURL
Movasati, Hossein; Shokri, Khosro M. Automorphic forms for triangle groups: integrality properties. (English) Zbl 1297.11039 J. Number Theory 145, 67-78 (2014). MSC: 11F55 11S80 33C05 PDF BibTeX XML Cite \textit{H. Movasati} and \textit{K. M. Shokri}, J. Number Theory 145, 67--78 (2014; Zbl 1297.11039) Full Text: DOI arXiv OpenURL
Gelbart, Stephen; Miller, Stephen D.; Panchishkin, Alexei; Shahidi, Freydoon A \(p\)-adic integral for the reciprocal of \(L\)-functions. (English) Zbl 1353.11108 Cogdell, James W. (ed.) et al., Automorphic forms and related geometry: assessing the legacy of I. I. Piatetski-Shapiro. Proceedings of the conference, Yale University, New Haven, CT, USA, April 23–27, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9394-4/pbk). Contemporary Mathematics 614, 53-68 (2014). Reviewer: Denis Ibadula (Constanta) MSC: 11S40 11F30 11S80 PDF BibTeX XML Cite \textit{S. Gelbart} et al., Contemp. Math. 614, 53--68 (2014; Zbl 1353.11108) Full Text: arXiv OpenURL
Batakidis, Panagiotis Equivalence of characters in deformation quantization and Lie theory. (English) Zbl 1298.53094 J. Lie Theory 24, No. 1, 77-96 (2014). Reviewer: Béchir Dali (Riyadh) MSC: 53D55 22E35 17B15 16S32 PDF BibTeX XML Cite \textit{P. Batakidis}, J. Lie Theory 24, No. 1, 77--96 (2014; Zbl 1298.53094) Full Text: Link OpenURL
Stasinski, A.; Voll, C. Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type \(B\). (English) Zbl 1286.11140 Am. J. Math. 136, No. 2, 501-550 (2014). MSC: 11M41 14L15 20G05 22E50 PDF BibTeX XML Cite \textit{A. Stasinski} and \textit{C. Voll}, Am. J. Math. 136, No. 2, 501--550 (2014; Zbl 1286.11140) Full Text: DOI arXiv Link OpenURL
Hellekalek, Peter A hybrid inequality of Erdős-Turán-Koksma for digital sequences. (English) Zbl 1286.11113 Monatsh. Math. 173, No. 1, 55-66 (2014). Reviewer: Yukio Ohkubo (Kagoshima) MSC: 11K06 11K31 11K41 11K70 11L03 PDF BibTeX XML Cite \textit{P. Hellekalek}, Monatsh. Math. 173, No. 1, 55--66 (2014; Zbl 1286.11113) Full Text: DOI arXiv OpenURL
Zhang, Jun; Feng, Weiduan On \(L\)-functions of certain exponential sums. (English) Zbl 1285.11143 Finite Fields Appl. 26, 7-31 (2014). Reviewer: Sergey Stepanov (Moskva) MSC: 11S40 11T23 11L07 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{W. Feng}, Finite Fields Appl. 26, 7--31 (2014; Zbl 1285.11143) Full Text: DOI arXiv OpenURL
Chatterjee, T.; Gun, S. The digamma function, Euler-Lehmer constants and their \(p\)-adic counterparts. (English) Zbl 1285.11105 Acta Arith. 162, No. 2, 197-208 (2014). MSC: 11J91 11J86 11J99 PDF BibTeX XML Cite \textit{T. Chatterjee} and \textit{S. Gun}, Acta Arith. 162, No. 2, 197--208 (2014; Zbl 1285.11105) Full Text: DOI arXiv OpenURL
Zhao, Xiaomei A note on the real densities of homogeneous systems in function fields. (English) Zbl 1355.11025 Finite Fields Appl. 25, 194-221 (2014). MSC: 11D45 11D88 11P55 11T55 PDF BibTeX XML Cite \textit{X. Zhao}, Finite Fields Appl. 25, 194--221 (2014; Zbl 1355.11025) Full Text: DOI OpenURL
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 OpenURL
Yang, Shichun; He, Bo The solutions of a class of exponential Diophantine equations. (Chinese. English summary) Zbl 1274.11097 Adv. Math., Beijing 41, No. 5, 565-573 (2012). MSC: 11D61 11D25 11J86 11D88 PDF BibTeX XML Cite \textit{S. Yang} and \textit{B. He}, Adv. Math., Beijing 41, No. 5, 565--573 (2012; Zbl 1274.11097) OpenURL
Böcherer, Siegfried; Dummigan, Neil; Schulze-Pillot, Rainer Yoshida lifts and Selmer groups. (English) Zbl 1276.11069 J. Math. Soc. Japan 64, No. 4, 1353-1405 (2012). MSC: 11F46 11F67 11F80 11F33 11G40 PDF BibTeX XML Cite \textit{S. Böcherer} et al., J. Math. Soc. Japan 64, No. 4, 1353--1405 (2012; Zbl 1276.11069) Full Text: DOI arXiv Euclid OpenURL
Breuil, Christophe Remarks on some locally \(\mathbb Q_p\)-analytic representations of \(\mathrm{GL}_2(F)\) in the crystalline case. (English) Zbl 1312.11045 Coates, John (ed.) et al., Non-abelian fundamental groups and Iwasawa theory. Cambridge: Cambridge University Press (ISBN 978-1-107-64885-2/pbk). London Mathematical Society Lecture Note Series 393, 212-238 (2012). Reviewer: Xiao Liang (Storrs) MSC: 11F80 22E50 PDF BibTeX XML Cite \textit{C. Breuil}, Lond. Math. Soc. Lect. Note Ser. 393, 212--238 (2012; Zbl 1312.11045) Full Text: DOI OpenURL
Shelkovich, V. M. \(p\)-adic evolution pseudo-differential equations and \(p\)-adic wavelets. (English. Russian original) Zbl 1238.47032 Izv. Math. 75, No. 6, 1249-1278 (2011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 6, 163-194 (2011). Reviewer: Cristina Pérez-García (Santander) MSC: 47G30 42C40 11F85 26A33 PDF BibTeX XML Cite \textit{V. M. Shelkovich}, Izv. Math. 75, No. 6, 1249--1278 (2011; Zbl 1238.47032); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 75, No. 6, 163--194 (2011) Full Text: DOI OpenURL
Avni, Nir Arithmetic groups have rational representation growth. (English) Zbl 1244.20043 Ann. Math. (2) 174, No. 2, 1009-1056 (2011). Reviewer: Andrea Lucchini (Padova) MSC: 20G05 11M41 22E40 14E18 22E35 20E07 PDF BibTeX XML Cite \textit{N. Avni}, Ann. Math. (2) 174, No. 2, 1009--1056 (2011; Zbl 1244.20043) Full Text: DOI arXiv OpenURL
Scarabotti, Fabio The tree method for multidimensional \(q\)-Hahn and \(q\)-Racah polynomials. (English) Zbl 1216.33042 Ramanujan J. 25, No. 1, 57-91 (2011). MSC: 33D50 33D80 PDF BibTeX XML Cite \textit{F. Scarabotti}, Ramanujan J. 25, No. 1, 57--91 (2011; Zbl 1216.33042) Full Text: DOI arXiv OpenURL
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M. The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory. (English) Zbl 1218.47071 J. Math. Anal. Appl. 375, No. 1, 82-98 (2011). Reviewer: Hartmut Fuehr (Aachen) MSC: 47G30 42C40 46S10 47J35 35S11 PDF BibTeX XML Cite \textit{S. Albeverio} et al., J. Math. Anal. Appl. 375, No. 1, 82--98 (2011; Zbl 1218.47071) Full Text: DOI OpenURL
Krupitsyn, E. S. Arithmetic properties of series of certain classes. (Russian) Zbl 1320.11062 Chebyshevskiĭ Sb. 11, No. 1(33), 184-187 (2010). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J61 11J85 PDF BibTeX XML Cite \textit{E. S. Krupitsyn}, Chebyshevskiĭ Sb. 11, No. 1(33), 184--187 (2010; Zbl 1320.11062) Full Text: MNR OpenURL
Hirata-Kohno, Noriko; Takada, Rina Linear forms in two elliptic logarithms in the \(p\)-adic case. (English) Zbl 1264.11065 Kyushu J. Math. 64, No. 2, 239-260 (2010). Reviewer: Michel Waldschmidt (Paris) MSC: 11J89 11J61 11J86 PDF BibTeX XML Cite \textit{N. Hirata-Kohno} and \textit{R. Takada}, Kyushu J. Math. 64, No. 2, 239--260 (2010; Zbl 1264.11065) Full Text: DOI OpenURL
Yamada, Tomohiro A note on the paper by Bugeaud and Laurent “Minoration effective de la distance \(p\)-adique entre puissances de nombres algébriques”. (English) Zbl 1270.11073 J. Number Theory 130, No. 9, 1889-1897 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J86 11A07 PDF BibTeX XML Cite \textit{T. Yamada}, J. Number Theory 130, No. 9, 1889--1897 (2010; Zbl 1270.11073) Full Text: DOI arXiv OpenURL
Fan, Shuqin Primitive normal polynomials with the last half coefficients prescribed. (English) Zbl 1215.11115 Finite Fields Appl. 15, No. 5, 604-614 (2009). Reviewer: Arne Winterhof (Linz) MSC: 11T06 11T24 PDF BibTeX XML Cite \textit{S. Fan}, Finite Fields Appl. 15, No. 5, 604--614 (2009; Zbl 1215.11115) Full Text: DOI OpenURL
Zhu, Huilin A new proof of Diophantine equation \(\binom n2=\binom m4\). (English) Zbl 1212.11055 Commun. Math. Res. 25, No. 3, 282-288 (2009). MSC: 11D25 11D45 PDF BibTeX XML Cite \textit{H. Zhu}, Commun. Math. Res. 25, No. 3, 282--288 (2009; Zbl 1212.11055) OpenURL
González-Sánchez, Jon Kirillov’s orbit method for \(p\)-groups and pro-\(p\) groups. (English) Zbl 1201.20022 Commun. Algebra 37, No. 12, 4476-4488 (2009). Reviewer: Benjamin Klopsch (Egham) MSC: 20E18 22E50 PDF BibTeX XML Cite \textit{J. González-Sánchez}, Commun. Algebra 37, No. 12, 4476--4488 (2009; Zbl 1201.20022) Full Text: DOI OpenURL
Bach, Eric Iterative root approximation in \(p\)-adic numerical analysis. (English) Zbl 1184.65051 J. Complexity 25, No. 6, 511-529 (2009). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65H04 26C10 11D88 12D10 12Y05 PDF BibTeX XML Cite \textit{E. Bach}, J. Complexity 25, No. 6, 511--529 (2009; Zbl 1184.65051) Full Text: DOI OpenURL
Shahidi, Freydoon [Kuo, Wentang] Complexity of group actions and stability of root numbers. With an appendix by Wentang Kuo. (English) Zbl 1183.22010 Ginzburg, David (ed.) et al., Automorphic forms and \(L\)-functions II. Local aspects. A workshop in honor of Steve Gelbart on the occasion of his sixtieth birthday, Rehovot and Tel Aviv, Israel, May 15–19, 2006. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University. (ISBN 978-0-8218-4708-4/pbk). Contemporary Mathematics 489. Israel Mathematical Conference Proceedings, 259-283 (2009). Reviewer: Matthew Morrow (Nottingham) MSC: 22E35 14L30 11F70 22E50 PDF BibTeX XML Cite \textit{F. Shahidi}, Contemp. Math. 489, 259--283 (2009; Zbl 1183.22010) OpenURL
Shapiro, I. Frobenius map for quintic threefolds. (English) Zbl 1222.14089 Int. Math. Res. Not. 2009, No. 13, 2519-2545 (2009). Reviewer: Noriko Yui (Kingston) MSC: 14J33 14J32 14J20 PDF BibTeX XML Cite \textit{I. Shapiro}, Int. Math. Res. Not. 2009, No. 13, 2519--2545 (2009; Zbl 1222.14089) Full Text: DOI arXiv Link OpenURL
Zudilin, Wadim Ramanujan-type supercongruences. (English) Zbl 1231.11147 J. Number Theory 129, No. 8, 1848-1857 (2009). Reviewer: Florian Luca (Morelia) MSC: 11Y55 33C20 11B65 11F33 PDF BibTeX XML Cite \textit{W. Zudilin}, J. Number Theory 129, No. 8, 1848--1857 (2009; Zbl 1231.11147) Full Text: DOI arXiv OpenURL
Dietmann, Rainer Forms in many variables. (English) Zbl 1263.11044 Meyer, Ralph (ed.) et al., Trends in mathematics. Proceedings of the Courant Colloquium held at the University of Göttingen, Göttingen, Germany, October 12–14, 2007. Göttingen: Universitätsverlag Göttingen (ISBN 978-3-940344-56-4/pbk). Mathematisches Institut. Seminare. Universitätsdrucke Göttingen, 47-55 (2008). MSC: 11D25 11E76 11P55 11D45 11D72 11D88 PDF BibTeX XML Cite \textit{R. Dietmann}, in: Trends in mathematics. Proceedings of the Courant Colloquium held at the University of Göttingen, Göttingen, Germany, October 12--14, 2007. Göttingen: Universitätsverlag Göttingen. 47--55 (2008; Zbl 1263.11044) OpenURL
Lauder, Alan G. B. Ranks of elliptic curves over function fields. (English) Zbl 1222.11075 LMS J. Comput. Math. 11, 172-212 (2008). MSC: 11G05 14F30 14G05 14G22 PDF BibTeX XML Cite \textit{A. G. B. Lauder}, LMS J. Comput. Math. 11, 172--212 (2008; Zbl 1222.11075) Full Text: DOI arXiv OpenURL
Nesterenko, Yu. V. Algebraic independence in the \(p\)-adic domain. (English) Zbl 1210.11081 Saradha, N. (ed.), Diophantine equations. Papers from the international conference held in honor of T. N. Shorey’s 60th birthday, Mumbai, India, December 16–20, 2005. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-898-4/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 20, 177-195 (2008). Reviewer: Michael Coons (Waterloo) MSC: 11J81 11J85 PDF BibTeX XML Cite \textit{Yu. V. Nesterenko}, in: Diophantine equations. Papers from the international conference held in honor of T. N. Shorey's 60th birthday, Mumbai, India, December 16--20, 2005. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research. 177--195 (2008; Zbl 1210.11081) OpenURL
Berger, Laurent; Colmez, Pierre Families of de Rham representations and \(p\)-adic monodromy. (Familles de représentations de de Rham et monodromie \(p\)-adique.) (French. English summary) Zbl 1168.11020 Berger, Laurent (ed.) et al., Représentation \(p\)-adiques de groupes \(p\)-adiques I. Représentations galoisiennes et \((\varphi, \Gamma)\)-modules. Paris: Société Mathématique de France (ISBN 978-2-85629-256-3/pbk). Astérisque 319, 303-337 (2008). Reviewer: Elmar Große-Klönne (Berlin) MSC: 11F80 11F85 11S25 12H25 14F30 PDF BibTeX XML Cite \textit{L. Berger} and \textit{P. Colmez}, Astérisque 319, 303--337 (2008; Zbl 1168.11020) OpenURL
Murty, M. Ram; Saradha, N. Transcendental values of the \(p\)-adic digamma function. (English) Zbl 1253.11077 Acta Arith. 133, No. 4, 349-362 (2008). MSC: 11J86 11J91 11S40 33B15 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{N. Saradha}, Acta Arith. 133, No. 4, 349--362 (2008; Zbl 1253.11077) Full Text: DOI OpenURL
Nesterenko, Yu. V. Algebraic independence of \(p\)-adic numbers. (English. Russian original) Zbl 1145.11055 Izv. Math. 72, No. 3, 565-579 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 3, 159-174 (2008). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11J85 11J81 PDF BibTeX XML Cite \textit{Yu. V. Nesterenko}, Izv. Math. 72, No. 3, 565--579 (2008; Zbl 1145.11055); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 3, 159--174 (2008) Full Text: DOI OpenURL
Dietmann, Rainer Systems of cubic forms. (English) Zbl 1219.11054 J. Lond. Math. Soc., II. Ser. 77, No. 3, 666-686 (2008). Reviewer: Roger Heath-Brown (Oxford) MSC: 11D25 11D88 11D72 11P55 PDF BibTeX XML Cite \textit{R. Dietmann}, J. Lond. Math. Soc., II. Ser. 77, No. 3, 666--686 (2008; Zbl 1219.11054) Full Text: DOI OpenURL
Chubarikov, V. N. Hua Loo-Keng trees in the theory of congruences. (Russian) Zbl 1235.11035 Mat. Vopr. Kibern. 16, 73-78 (2007). Reviewer: Sergey Stepanov (Moskva) MSC: 11D79 11L03 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Mat. Vopr. Kibern. 16, 73--78 (2007; Zbl 1235.11035) OpenURL
Cipu, Mihai; Luca, Florian; Mignotte, Maurice Solutions of the Diophantine equation \(au^x+bv^y+cw^z=n\)! (English) Zbl 1186.11015 Ann. Sci. Math. Qué. 31, No. 2, 127-137 (2007). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D45 11D61 11J87 11J86 PDF BibTeX XML Cite \textit{M. Cipu} et al., Ann. Sci. Math. Qué. 31, No. 2, 127--137 (2007; Zbl 1186.11015) OpenURL