Krapp, Lothar Sebastian; Kuhlmann, Salma Ordered transexponential fields. (English) Zbl 07978963 Ann. Pure Appl. Logic 176, No. 4, Article ID 103541, 23 p. (2025). MSC: 12J25 03C64 12J15 26A12 06F20 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Krzysztof Jan Tame topology in hensel minimal structures. (English) Zbl 07978962 Ann. Pure Appl. Logic 176, No. 4, Article ID 103540, 22 p. (2025). MSC: 03C65 32B20 32P05 03C98 12J25 57N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berger, Laurent; Rozensztajn, Sandra Super-Hölder vectors and the field of norms. (English) Zbl 07957551 Algebra Number Theory 19, No. 1, 195-211 (2025). MSC: 11S15 11S20 11S80 11S31 12J25 13J05 22E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kenary, Hassan Azadi Orthogonality and linear mappings in Banach modules over a unital. (English) Zbl 07978870 Moroccan J. Algebra Geom. Appl. 3, No. 2, 345-357 (2024). MSC: 39B55 46S10 47H10 39B52 47S10 30G06 46H25 46L05 12J25 × Cite Format Result Cite Review PDF Full Text: Link
Ishizuka, K. A spectral theorem for a non-Archimedean valued field whose residue field is formally real. (English) Zbl 07963809 Extr. Math. 39, No. 2, 235-254 (2024). MSC: 46S10 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vermeulen, Floris Hensel minimality: geometric criteria for \(\ell\)-h-minimality. (English) Zbl 07955164 J. Math. Log. 24, No. 3, Article ID 2450001, 40 p. (2024). MSC: 03C99 03C65 12J25 03C98 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Halevi, Yatir Models of abelian varieties over valued fields, using model theory. (English) Zbl 07939022 Adv. Math. 457, Article ID 109938, 36 p. (2024). MSC: 03C98 14H52 14L15 12J25 14K99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Halevi, Yatir; Hasson, Assaf; Peterzil, Ya’acov Correction to: “On groups interpretable in various valued fields”. (English) Zbl 07932300 Sel. Math., New Ser. 30, No. 5, Paper No. 96, 3 p. (2024). MSC: 12L12 03C60 12J25 × Cite Format Result Cite Review PDF Full Text: DOI
Krishna, K. M. \(p\)-adic Welch bounds and \(p\)-adic Zauner conjecture. (English) Zbl 1546.11171 \(p\)-Adic Numbers Ultrametric Anal. Appl. 16, No. 3, 264-274 (2024). MSC: 11S80 12J25 46S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehmeti, Vlerë An analytic viewpoint on the Hasse principle. (Un point de vue analytique sur le principe de Hasse.) (English. French summary) Zbl 07912279 J. Éc. Polytech., Math. 11, 875-908 (2024). MSC: 14G22 11E08 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shamseddine, Khodr On the complex Levi-Civita field: algebraic and topological structures, and foundations for analysis. (English) Zbl 07892366 Khayyam J. Math. 10, No. 1, 70-89 (2024). MSC: 26E30 11D88 12J25 54A10 × Cite Format Result Cite Review PDF Full Text: DOI
Bhardwaj, Neer; van Den Dries, Lou Analytic Ax-Kochen-Ersov theory with lifts of the residue field and value group. (English) Zbl 07889236 Trans. Am. Math. Soc., Ser. B 11, 1015-1064 (2024). MSC: 03C10 32B05 03C60 12J25 13J15 13L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grinberg, Darij The Bhargava greedoid as a Gaussian elimination greedoid. (English) Zbl 1543.05017 Electron. J. Comb. 31, No. 2, Research Paper P2.28, 47 p. (2024). MSC: 05B35 12J25 52B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cantoral Farfán, Victoria; Nguyen, Kien Huu; Stout, Mathias; Vermeulen, Floris A Pila-Wilkie theorem for Hensel minimal curves. (English) Zbl 07882663 Model Theory 3, No. 1, 119-145 (2024). MSC: 03C99 14G05 03C65 03C98 11D88 11G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Halevi, Yatir; Hasson, Assaf; Peterzil, Ya’acov On groups interpretable in various valued fields. (English) Zbl 1547.12006 Sel. Math., New Ser. 30, No. 4, Paper No. 59, 64 p. (2024); correction ibid. 30, No. 5, Paper No. 96, 3 p. (2024). Reviewer: Piotr Kowalski (Wrocław) MSC: 12L12 03C60 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dutta, Arpan An invariant of valuation transcendental extensions and its connection with key polynomials. (English) Zbl 1548.13008 J. Algebra 649, 133-168 (2024). Reviewer: Gerard Leloup (Le Mans) MSC: 13A18 12J20 12J25 × Cite Format Result Cite Review PDF Full Text: DOI
Romeo, Giuliano Continued fractions in the field of \(p\)-adic numbers. (English) Zbl 1545.11069 Bull. Am. Math. Soc., New Ser. 61, No. 2, 343-371 (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11D88 11Y65 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbero, Stefano; Cerruti, Umberto; Murru, Nadir Periodic representations and approximations of \(p\)-adic numbers via continued fractions. (English) Zbl 07815483 Exp. Math. 33, No. 1, 100-110 (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 12J25 × Cite Format Result Cite Review PDF Full Text: DOI
Baluni, Sapna; Yadav, Vijay K.; Das, Subir Lagrange stability criteria for hypercomplex neural networks with time varying delays. (English) Zbl 1536.34071 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107765, 17 p. (2024). MSC: 34K25 34K12 92B20 46S10 × Cite Format Result Cite Review PDF Full Text: DOI
Becher, Karim Johannes; Grimm, David Nonsplit conics in the reduction of an arithmetic curve. (English) Zbl 07780720 Math. Z. 306, No. 1, Paper No. 12, 16 p. (2024). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12D15 12J10 12J25 14H05 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishizuka, Kosuke An application of the spherical completion to finite-dimensional normed spaces. arXiv:2412.17385 Preprint, arXiv:2412.17385 [math.FA] (2024). MSC: 46S10 12J25 × Cite Format Result Cite Full Text: arXiv OA License
Singh, Jitender Prime numbers and factorization of polynomials. arXiv:2411.18366 Preprint, arXiv:2411.18366 [math.NT] (2024). MSC: 11R09 12J25 12E05 11C08 × Cite Format Result Cite Full Text: arXiv
Sédillot, Antoine Pseudo-absolute values: foundations. arXiv:2411.03905 Preprint, arXiv:2411.03905 [math.NT] (2024). MSC: 12J10 13A18 32P05 14G40 × Cite Format Result Cite Full Text: arXiv OA License
Romeo, Giuliano Real convergence and periodicity of \(p\)-adic continued fractions. arXiv:2410.09215 Preprint, arXiv:2410.09215 [math.NT] (2024). MSC: 11J70 11D88 11Y65 12J25 × Cite Format Result Cite Full Text: arXiv
Hossain, Akash Forking in valued fields and related structures. arXiv:2409.16393 Preprint, arXiv:2409.16393 [math.LO] (2024). MSC: 03C52 03C45 03C60 03C64 03C95 06E15 06F20 11D88 12J10 12J25 13J15 28E15 54D45 54D80 60B05 × Cite Format Result Cite Full Text: arXiv
Krishna, K. Mahesh p-adic Equiangular Lines and p-adic van Lint-Seidel Relative Bound. arXiv:2408.00810 Preprint, arXiv:2408.00810 [math.CO] (2024). MSC: 12J25 46S10 47S10 11D88 × Cite Format Result Cite Full Text: arXiv
Sankar, Koushika Dhevi; Sampath, Sangeetha Stability of Mixed Type Additive-Cubic Jensen Functional Equation in Non-Archimedean \((n, \beta)\) Normed Spaces. arXiv:2407.20568 Preprint, arXiv:2407.20568 [math.FA] (2024). MSC: 39B82 39B72 12J25 × Cite Format Result Cite Full Text: arXiv OA License
Bernardoni, William A Universal Property of the Spectrum of a Ring and the Semiring of its Ideals. arXiv:2404.10937 Preprint, arXiv:2404.10937 [math.AC] (2024). MSC: 16W60 16Y60 14T10 12J25 × Cite Format Result Cite Full Text: arXiv
Nowak, Krzysztof Jan On closed definable subsets in Hensel minimal structures. arXiv:2403.08039 Preprint, arXiv:2403.08039 [math.LO] (2024). MSC: 03C65 03C98 12J25 × Cite Format Result Cite Full Text: arXiv OA License
Orzechowski, Kamil The Banach-Tarski paradox for some subsets of finite-dimensional normed spaces over non-Archimedean valued fields. arXiv:2402.14772 Preprint, arXiv:2402.14772 [math.FA] (2024). MSC: 47S10 46S10 12J25 26E30 20E05 20H20 46B04 05A18 03E25 × Cite Format Result Cite Full Text: arXiv
Bonciocat, Nicolae Ciprian; Garg, Rishu; Singh, Jitender Some factorization results for bivariate polynomials. arXiv:2402.02324 Preprint, arXiv:2402.02324 [math.NT] (2024). MSC: 11R09 12J25 12E05 11C08 × Cite Format Result Cite Full Text: arXiv
Banerjee, Abhijit; Khoai, Ha Huy; Maity, Sayantan Investigations on weighted bi unique range sets over non-Archimedean field. (English) Zbl 07920968 Palest. J. Math. 12, No. 1, 872-882 (2023). MSC: 30G06 12J25 30D35 × Cite Format Result Cite Review PDF Full Text: Link
Biswas, Tanmay; Biswas, Chinmay Some growth analysis of composite \(p\)-adic entire functions on the basis of their generalized relative order \((\alpha, \beta)\). (English) Zbl 07920941 Palest. J. Math. 12, No. 1, 569-580 (2023). MSC: 30G06 12J25 30D35 × Cite Format Result Cite Review PDF Full Text: Link
Siegel, M. C. Infinite series whose topology of convergence varies from point to point. (English) Zbl 1525.11141 \(p\)-Adic Numbers Ultrametric Anal. Appl. 15, No. 2, 133-167 (2023). MSC: 11S80 46S10 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Datta, Rankeya; Murayama, Takumi Tate algebras and Frobenius non-splitting of excellent regular rings. (English) Zbl 1536.13010 J. Eur. Math. Soc. (JEMS) 25, No. 11, 4291-4314 (2023). Reviewer: Janet Vassilev (Albuquerque) MSC: 13A35 14G22 46S10 12J25 13F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Ruxi On \(p\)-adic spectral measures. (English) Zbl 1542.43001 Adv. Math. 433, Article ID 109254, 35 p. (2023). Reviewer: Manuel Cruz-López (Guanajuato) MSC: 43A05 26E30 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jingjing; Zhu, Song; Liu, Xiaoyang; Wen, Shiping Mittag-Leffler stability of fractional-order quaternion-valued memristive neural networks with generalized piecewise constant argument. (English) Zbl 1526.34058 Neural Netw. 162, 175-185 (2023). MSC: 34K37 34K39 34K20 92B20 46S10 34K09 × Cite Format Result Cite Review PDF Full Text: DOI
Becker, Eberhard; Kuhlmann, Franz-Viktor; Kuhlmann, Katarzyna Density of composite places in function fields and applications to real holomorphy rings. (English) Zbl 1532.12001 Math. Nachr. 296, No. 1, 57-79 (2023). Reviewer: Gerard Leloup (Le Mans) MSC: 12J10 12J15 12D15 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murru, Nadir; Romeo, Giuliano; Santilli, Giordano On the periodicity of an algorithm for \(p\)-adic continued fractions. (English) Zbl 1542.11063 Ann. Mat. Pura Appl. (4) 202, No. 6, 2971-2984 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11J70 11D88 11Y65 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Escassut, Alain Exceptional values of \(p\)-adic derivative. A survey with some improvements. (English) Zbl 1538.30156 Sarajevo J. Math. 19(32), No. 1, 117-127 (2023). MSC: 30G06 32P05 12J25 × Cite Format Result Cite Review PDF Full Text: DOI
Bradley-Williams, David B.; Halupczok, Immanuel Spherically complete models of Hensel minimal valued fields. (English) Zbl 1548.03038 Math. Log. Q. 69, No. 2, 138-146 (2023). Reviewer: Ali Bleybel (Beirut) MSC: 03C60 03C64 12J10 12L12 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krapp, Lothar Sebastian; Kuhlmann, Salma; Link, Moritz Definability of Henselian valuations by conditions on the value group. (English) Zbl 07735945 J. Symb. Log. 88, No. 3, 1064-1082 (2023). MSC: 03C40 03C64 12J10 12L12 12J25 13J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dalal, Tarun; Kumar, Narasimha Notes on Atkin-Lehner theory for Drinfeld modular forms. (English) Zbl 1537.11065 Bull. Aust. Math. Soc. 108, No. 1, 50-68 (2023). Reviewer: Andrea Bandini (Pisa) MSC: 11F52 11F25 11G09 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Escassut, Alain Number of zeros of exponential polynomials in zero residue characteristic. (English) Zbl 1529.12005 \(p\)-Adic Numbers Ultrametric Anal. Appl. 15, No. 1, 81-83 (2023). Reviewer: Michel Waldschmidt (Paris) MSC: 12J25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mavi, Sneha; Bishnoi, Anuj Abstract key polynomials and distinguished pairs. (English) Zbl 1523.12002 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaulhiac, Sylvain Towards tempered anabelian behaviour of Berkovich annuli. (Vers un comportement anabélien tempéré des couronnes de Berkovich.) (English. French summary) Zbl 1530.14053 Bull. Soc. Math. Fr. 151, No. 1, 1-36 (2023). MSC: 14H30 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nart, Enric; Novacoski, Josnei The defect formula. (English) Zbl 1524.13023 Adv. Math. 428, Article ID 109153, 44 p. (2023). Reviewer: Gerard Leloup (Le Mans) MSC: 13A18 26E30 12J20 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishiki, Yoshito Simultaneous extensions of metrics and ultrametrics of high power. (English) Zbl 1526.54008 Topology Appl. 336, Article ID 108624, 37 p. (2023). Reviewer: Seithuti Philemon Moshokoa (Pretoria) MSC: 54E99 54E35 54C15 54C20 12J25 26E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rzepka, Anna; Szewczyk, Piotr Defect extensions and a characterization of tame fields. (English) Zbl 1526.12004 J. Algebra 630, 68-91 (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 12J10 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dutta, Arpan A ruled residue theorem for algebraic function fields of curves of prime degree. (English) Zbl 1530.12004 J. Pure Appl. Algebra 227, No. 12, Article ID 107453, 23 p. (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 12J20 13A18 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dutta, Arpan; Kuhlmann, Franz-Viktor Tame key polynomials. (English) Zbl 1522.13008 J. Algebra 629, 162-190 (2023). Reviewer: Gerard Leloup (Le Mans) MSC: 13A18 12J20 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chernikov, Artem; Mennen, Alex Combinatorial properties of nonarchimedean convex sets. (English) Zbl 1527.52004 Pac. J. Math. 323, No. 1, 1-30 (2023). Reviewer: Mircea Balaj (Oradea) MSC: 52A35 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaulhiac, Sylvain Anabelian reconstruction of the skeleton of analytic curves. (Reconstruction anabélienne du squelette des courbes analytiques.) (French. English summary) Zbl 07688673 Ann. Inst. Fourier 73, No. 3, 999-1084 (2023). MSC: 14H30 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ćmiel, H.; Kuhlmann, F.-V.; Szewczyk, P. Continuity of roots for polynomials over valued fields. (English) Zbl 1512.12007 Commun. Algebra 51, No. 4, 1383-1412 (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 12J20 12J25 × Cite Format Result Cite Review PDF Full Text: DOI
Kuhlmann, Franz-Viktor; Rzepka, Anna The valuation theory of deeply ramified fields and its connection with defect extensions. (English) Zbl 1512.12006 Trans. Am. Math. Soc. 376, No. 4, 2693-2738 (2023). Reviewer: Sudesh Kaur Khanduja (S.A.S. Nagar) MSC: 12J10 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nica, Bogdan; Sprague, Dacota Non-Archimedean views on Gershgorin’s theorem and diagonal dominance. (English) Zbl 1526.15010 Am. Math. Mon. 130, No. 3, 267-275 (2023). MSC: 15A18 15A42 12J25 26E30 × Cite Format Result Cite Review PDF Full Text: DOI
Cubides Kovacsics, Pablo; Point, Françoise Topological fields with a generic derivation. (English) Zbl 1511.12003 Ann. Pure Appl. Logic 174, No. 3, Article ID 103211, 38 p. (2023). Reviewer: Luc Bélair (Montréal) MSC: 12L12 12J25 12H05 13N15 03C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ealy, Clifton F.; Maříková, Jana Quantifier elimination for o-minimal structures expanded by a valuational cut. (English) Zbl 1508.03070 Ann. Pure Appl. Logic 174, No. 2, Article ID 103206, 22 p. (2023). Reviewer: Fujita Masato (Kure) MSC: 03C64 03C10 12J25 12J10 12J15 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Halupczok, Immanuel A Non-Archimedean Approach to Stratifications. arXiv:2311.16987 Preprint, arXiv:2311.16987 [math.AG] (2023). MSC: 14B05 32S60 12J25 03C98 03H05 14B20 × Cite Format Result Cite Full Text: arXiv
Maxwell, James; Smith, Ben Geometry of tropical extensions of hyperfields. arXiv:2309.17302 Preprint, arXiv:2309.17302 [math.AG] (2023). MSC: 12K99 14T10 12J25 12D10 × Cite Format Result Cite Full Text: DOI arXiv OA License
Cutkosky, Steven Dale; Kuhlmann, Franz-Viktor Kähler differentials of extensions of valuation rings and deeply ramified fields. arXiv:2306.04967 Preprint, arXiv:2306.04967 [math.AC] (2023). MSC: 12J10 12J25 × Cite Format Result Cite Full Text: arXiv OA License
Cutkosky, Steven Dale; Kuhlmann, Franz-Viktor; Rzepka, Anna On the computation of Kähler differentials and characterizations of Galois extensions with independent defect. arXiv:2305.10022 Preprint, arXiv:2305.10022 [math.AC] (2023). MSC: 12J10 12J25 × Cite Format Result Cite Full Text: arXiv OA License
Ángel, Leonardo; Caicedo, Xavier Restricted analytic valued fields with partial exponentiation. arXiv:2302.09435 Preprint, arXiv:2302.09435 [math.LO] (2023). MSC: 03C10 03C64 12J25 12L12 × Cite Format Result Cite Full Text: arXiv
Ardakov, Konstantin; Berger, Laurent Bounded functions on the character variety. arXiv:2301.13650 Preprint, arXiv:2301.13650 [math.NT] (2023). MSC: 11F80 11S15 11S20 11S31 13F20 13J07 14G22 22E50 46S10 × Cite Format Result Cite Full Text: arXiv OA License
Akian, Marianne; Gaubert, Stéphane; Tavakolipour, Hanieh Factorization of polynomials over the symmetrized tropical semiring and Descartes’ rule of sign over ordered valued fields. arXiv:2301.05483 Preprint, arXiv:2301.05483 [math.RA] (2023). MSC: 12J15 12J25 15A80 12D05 16Y60 14T10 06F20 16Y20 × Cite Format Result Cite Full Text: arXiv OA License
Biswas, Tanmay; Biswas, Chinmay A note on the growth rates of composite \(p\)-adic entire functions. (English) Zbl 07854360 Honam Math. J. 44, No. 1, 52-61 (2022). MSC: 30G06 12J25 30D35 46S10 × Cite Format Result Cite Review PDF Full Text: DOI
Blali, Aziz; Amrani, Abdelkhalek El; Ettayb, Jawad Some spectral sets of linear operator pencils on non-Archimedean Banach spaces. (English) Zbl 1522.47116 Bull. Transilv. Univ. Brașov, Ser. III, Math. Comput. Sci. 2(64), No. 1, 41-56 (2022). MSC: 47S10 47A10 47A56 × Cite Format Result Cite Review PDF Full Text: DOI
Shamseddine, K.; Shalev, A. A weaker smoothness criterion for the inverse function theorem, the intermediate value theorem, and the mean value theorem in a non-Archimedean setting. (English) Zbl 1527.46051 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. Suppl 1, S45-S58 (2022). MSC: 46S10 26E30 12J25 12J10 12J15 × Cite Format Result Cite Review PDF Full Text: DOI
Berger, Laurent; Rozensztajn, Sandra Decompletion of cyclotomic perfectoid fields in positive characteristic. (Décomplétion de corps perfectoïdes cyclotomiques en caractéristique positive.) (English. French summary) Zbl 1522.11121 Ann. Henri Lebesgue 5, 1261-1276 (2022). MSC: 11S80 12J25 13J05 22E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El Maazouz, Yassine The Gaussian entropy map in valued fields. (English) Zbl 1530.14109 Algebr. Stat. 13, No. 1, 1-18 (2022). MSC: 14T90 12J25 60E05 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sinclair, Peter Burden of Henselian valued fields in the Denef-Pas language. (English) Zbl 1525.03097 Notre Dame J. Formal Logic 63, No. 4, 463-480 (2022). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 03C60 03C45 12J10 12J25 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dutta, Arpan On the implicit constant fields and key polynomials for valuation algebraic extensions. (English) Zbl 1507.13003 J. Commut. Algebra 14, No. 4, 515-525 (2022). Reviewer: Gerard Leloup (Le Mans) MSC: 13A18 12J20 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Goncharuk, A. Cramer’s rule for implicit linear differential equations over a non-Archimedean ring. (English) Zbl 1513.34057 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 95, 39-48 (2022). MSC: 34A30 13F25 12J25 65F05 34A09 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Cubides Kovacsics, Pablo; Edmundo, Mário J.; Ye, Jinhe Cohomology of algebraic varieties over non-Archimedean fields. (English) Zbl 1512.14015 Forum Math. Sigma 10, Paper No. e94, 72 p. (2022). Reviewer: Keyvan Yaghmayi (Salt Lake City) MSC: 14G22 55N30 12J25 03C98 03C64 14T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruno, Nicholas Ideal structure of rings of analytic functions with non-Archimedean metrics. (English) Zbl 1497.13010 J. Algebra Appl. 21, No. 12, Article ID 2350011, 27 p. (2022). MSC: 13A15 12J10 12J25 30G06 × Cite Format Result Cite Review PDF Full Text: DOI
Edenfeld, Anna Verena A preperfectoid approach toc. (English) Zbl 1497.13001 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). iv, 149 p., open access (2022). MSC: 13-02 13F35 12J25 13F40 14G45 × Cite Format Result Cite Review PDF Full Text: Link
Shamseddine, Khodr On the analyticity of \(\text{WLUD}^\infty\) functions of one variable and \(\text{WLUD}^\infty\) functions of several variables in a complete non-Archimedean valued field. (English) Zbl 1530.41023 Proc. Edinb. Math. Soc., II. Ser. 65, No. 3, 691-704 (2022). MSC: 41A58 12J25 26E30 32P05 46S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Keshavarz, Vahid; Jahedi, Sedigheh Hyperstability of orthogonally 3-Lie homomorphism: an orthogonally fixed point approach. (English) Zbl 1496.46078 Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 477-485 (2022). MSC: 46S10 39B62 39B52 47H10 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rindler, H. Book review of: A. Broise-Alamichel et al., Equidistribution and counting under equilibrium states in negative curvature and trees. Applications to non-Archimedean Diophantine approximation. (English) Zbl 1502.00058 Monatsh. Math. 199, No. 2, 455-456 (2022). MSC: 00A17 37-02 37D40 37D35 37A44 37P20 11J61 12J25 × Cite Format Result Cite Review PDF Full Text: DOI
Dutta, Arpan Minimal pairs, inertia degrees, ramification degrees and implicit constant fields. (English) Zbl 1498.13010 Commun. Algebra 50, No. 11, 4964-4974 (2022). Reviewer: Dario Spirito (Padova) MSC: 13A18 12J20 12J25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI
Dutta, Arpan On the ranks and implicit constant fields of valuations induced by pseudo monotone sequences. (English) Zbl 1497.13017 J. Pure Appl. Algebra 226, No. 11, Article ID 107107, 25 p. (2022). Reviewer: Dario Spirito (Padova) MSC: 13A18 12J20 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris Revisiting closed asymptotic couples. (English) Zbl 07556006 Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 530-555 (2022). MSC: 03C64 03C10 06F20 12J15 12H05 12J25 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wear, Peter Properties of extended Robba rings. (English) Zbl 1498.13057 Int. J. Number Theory 18, No. 8, 1765-1789 (2022). Reviewer: Ali Benhissi (Monastir) MSC: 13F35 12J25 13F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Cluckers, Raf; Halupczok, Immanuel; Rideau-Kikuchi, Silvain Hensel minimality. I. (English) Zbl 1529.03211 Forum Math. Pi 10, Paper No. e11, 68 p. (2022). MSC: 03C64 03C60 12J20 11D88 14E18 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zúñiga-Galindo, W. A. Ultrametric diffusion, rugged energy landscapes and transition networks. (English) Zbl 1511.82035 Physica A 597, Article ID 127221, 19 p. (2022). Reviewer: Patrick Erik Bradley (Karlsruhe) MSC: 82C41 82C44 35K05 35S05 46S10 12J25 60J76 05C05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bottazzi, Emanuele A real-valued measure on non-Archimedean field extensions of \(\mathbb{R}\). (English) Zbl 1494.26063 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 1, 14-43 (2022). MSC: 26E30 12J25 28E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aroca, Fuensanta; Decaup, Julie; Rond, Guillaume The minimal cone of an algebraic Laurent series. (English) Zbl 1504.05308 Math. Ann. 382, No. 3-4, 1745-1773 (2022). Reviewer: Madhusudan Manjunath (Mumbai) MSC: 05E40 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chan, Kei Yuen Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case). (English) Zbl 1491.81021 J. Reine Angew. Math. 783, 49-94 (2022). MSC: 81R05 22E50 11F70 12J25 60J85 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Calderón, C.; Castro, M. M. Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators. (English) Zbl 1491.42041 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 697-726 (2022). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 47S10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Albayrak, Seda; Bell, Jason P. A refinement of Christol’s theorem for algebraic power series. (English) Zbl 1494.13030 Math. Z. 300, No. 3, 2265-2288 (2022). Reviewer: Ali Benhissi (Monastir) MSC: 13J05 11B85 12J25 13F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nikseresht, Azadeh A note on defectless extensions of henselian valued fields. (English) Zbl 1485.12010 Commun. Korean Math. Soc. 37, No. 1, 65-74 (2022). MSC: 12J10 12J25 13A18 × Cite Format Result Cite Review PDF Full Text: DOI
Dutta, Arpan On the non-uniqueness of maximal purely wild extensions. (English) Zbl 1492.12005 Commun. Algebra 50, No. 3, 1118-1139 (2022). Reviewer: Lothar Sebastian Krapp (Konstanz) MSC: 12J20 13A18 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roques, Julien On the archimedean and nonarchimedean \(q\)-Gevrey orders. (English) Zbl 1485.12009 Proc. Am. Math. Soc. 150, No. 3, 1167-1176 (2022). MSC: 12H10 12J25 39A13 × Cite Format Result Cite Review PDF Full Text: DOI