Duc Hiep Pham Elliptic curves and \(p\)-adic elliptic transcendence. (English) Zbl 1490.14053 Bull. Aust. Math. Soc. 105, No. 1, 31-36 (2022). Reviewer: Clemens Fuchs (Salzburg) MSC: 14H52 11J89 11G07 11S99 PDFBibTeX XMLCite \textit{Duc Hiep Pham}, Bull. Aust. Math. Soc. 105, No. 1, 31--36 (2022; Zbl 1490.14053) Full Text: DOI
Chen, Chao; Lin, Xin L-functions of certain exponential sums over finite fields. (English) Zbl 1501.11103 Math. Z. 300, No. 2, 1851-1871 (2022). Reviewer: Sávio Ribas (Belo Horizonte) MSC: 11S40 11T23 11L07 PDFBibTeX XMLCite \textit{C. Chen} and \textit{X. Lin}, Math. Z. 300, No. 2, 1851--1871 (2022; Zbl 1501.11103) Full Text: DOI arXiv
Underwood, Robert Hopf orders in \(K [ C_p^3]\) in characteristic \(p\). (English) Zbl 1496.16036 J. Algebra 595, 523-550 (2022). Reviewer: Alan Koch (Decatur) MSC: 16T05 11S15 11S23 14L15 PDFBibTeX XMLCite \textit{R. Underwood}, J. Algebra 595, 523--550 (2022; Zbl 1496.16036) Full Text: DOI arXiv
Yang, Liping; Zhang, Hao Generic Newton polygons for \(L\)-functions of \((A, B)\)-exponential sums. (English) Zbl 1484.11217 Finite Fields Appl. 78, Article ID 101980, 20 p. (2022). MSC: 11T06 11T23 11S40 PDFBibTeX XMLCite \textit{L. Yang} and \textit{H. Zhang}, Finite Fields Appl. 78, Article ID 101980, 20 p. (2022; Zbl 1484.11217) Full Text: DOI arXiv
Flicker, Yuval Z. Finite subgroups of \(\mathrm{SL}(2,\overline{F})\) and automorphy. (English) Zbl 1485.11094 Manuscr. Math. 167, No. 1-2, 213-243 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F70 11R39 11S37 11-02 PDFBibTeX XMLCite \textit{Y. Z. Flicker}, Manuscr. Math. 167, No. 1--2, 213--243 (2022; Zbl 1485.11094) Full Text: DOI
Lodh, Rémi Log smooth curves over discrete valuation rings. (English) Zbl 1525.14005 Manuscr. Math. 167, No. 1-2, 197-211 (2022). MSC: 14A21 14H20 11G20 14F20 11S15 19L10 PDFBibTeX XMLCite \textit{R. Lodh}, Manuscr. Math. 167, No. 1--2, 197--211 (2022; Zbl 1525.14005) Full Text: DOI
Dundas, Bjørn Ian; Lindenstrauss, Ayelet; Richter, Birgit Corrigendum to: “Towards an understanding of ramified extensions of structured ring spectra”. (English) Zbl 1480.55010 Math. Proc. Camb. Philos. Soc. 172, No. 1, 247-248 (2022). MSC: 55P43 55N15 11S15 PDFBibTeX XMLCite \textit{B. I. Dundas} et al., Math. Proc. Camb. Philos. Soc. 172, No. 1, 247--248 (2022; Zbl 1480.55010) Full Text: DOI
Nguyen, Kien Huu; Veys, Willem On the motivic oscillation index and bound of exponential sums modulo \(p^m\) via analytic isomorphisms. (English. French summary) Zbl 1485.11122 J. Math. Pures Appl. (9) 157, 211-242 (2022). MSC: 11L07 11S40 14E15 14B05 14F20 03C98 11U09 32B10 PDFBibTeX XMLCite \textit{K. H. Nguyen} and \textit{W. Veys}, J. Math. Pures Appl. (9) 157, 211--242 (2022; Zbl 1485.11122) Full Text: DOI arXiv
Kakuhama, Hirotaka On the local doubling \(\gamma \)-factor for classical groups over function fields. (English) Zbl 1487.11050 J. Number Theory 233, 337-369 (2022). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11F70 22E50 11F27 11S37 22E55 PDFBibTeX XMLCite \textit{H. Kakuhama}, J. Number Theory 233, 337--369 (2022; Zbl 1487.11050) Full Text: DOI arXiv
Pagano, C. Jump sets in local fields. (English) Zbl 1504.11125 J. Algebra 593, 398-476 (2022). Reviewer: Kevin Keating (Gainesville) MSC: 11S15 11S05 16U60 20E18 PDFBibTeX XMLCite \textit{C. Pagano}, J. Algebra 593, 398--476 (2022; Zbl 1504.11125) Full Text: DOI arXiv
Jeong, Sangtae Ergodic functions over \(Z_p\). (English) Zbl 1484.37122 J. Number Theory 232, 423-479 (2022). MSC: 37P20 11S82 37A44 11S80 PDFBibTeX XMLCite \textit{S. Jeong}, J. Number Theory 232, 423--479 (2022; Zbl 1484.37122) Full Text: DOI
Nakazato, Kei; Shimomoto, Kazuma Finite étale extensions of Tate rings and decompletion of perfectoid algebras. (English) Zbl 1484.14060 J. Algebra 589, 114-158 (2022). MSC: 14G45 13A18 11S15 13B22 13B40 13F35 13J10 PDFBibTeX XMLCite \textit{K. Nakazato} and \textit{K. Shimomoto}, J. Algebra 589, 114--158 (2022; Zbl 1484.14060) Full Text: DOI arXiv
Li, Wen-Wei Variations on themes of Sato: a survey. (English) Zbl 1484.11212 J. Number Theory 230, 112-145 (2022). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S40 11S90 43A85 PDFBibTeX XMLCite \textit{W.-W. Li}, J. Number Theory 230, 112--145 (2022; Zbl 1484.11212) Full Text: DOI arXiv
Chahal, J. S. Algebraic number theory. A brief introduction. (English) Zbl 1496.11002 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-01077-9/hbk; 978-0-367-76145-5/pbk; 978-1-003-17703-6/ebook). viii, 158 p. (2022). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Rxx 11Sxx PDFBibTeX XMLCite \textit{J. S. Chahal}, Algebraic number theory. A brief introduction. Boca Raton, FL: CRC Press (2022; Zbl 1496.11002) Full Text: DOI
Bellagh, Abdelaziz; Oulebsir, Assia Congruences for the cycle indicator of the symmetric group. arXiv:2211.15655 Preprint, arXiv:2211.15655 [math.NT] (2022). MSC: 11B65 11A07 11S05 BibTeX Cite \textit{A. Bellagh} and \textit{A. Oulebsir}, ``Congruences for the cycle indicator of the symmetric group'', Preprint, arXiv:2211.15655 [math.NT] (2022) Full Text: DOI arXiv OA License
Meli, Alexander Bertoloni; Oi, Masao The B(G)-parametrization of the local Langlands correspondence. arXiv:2211.13864 Preprint, arXiv:2211.13864 [math.NT] (2022). MSC: 22E50 11S37 11F70 BibTeX Cite \textit{A. B. Meli} and \textit{M. Oi}, ``The B(G)-parametrization of the local Langlands correspondence'', Preprint, arXiv:2211.13864 [math.NT] (2022) Full Text: arXiv OA License
Ueki, Jun; Yoshizaki, Hyuga The \(p\)-adic limits of class numbers in \(\mathbb{Z}_p\)-towers. arXiv:2210.06182 Preprint, arXiv:2210.06182 [math.NT] (2022). MSC: 57K10 11R23 11R29 11G20 57M10 11S05 BibTeX Cite \textit{J. Ueki} and \textit{H. Yoshizaki}, ``The $p$-adic limits of class numbers in $\mathbb{Z}_p$-towers'', Preprint, arXiv:2210.06182 [math.NT] (2022) Full Text: arXiv OA License
Berger, Laurent; Rozensztajn, Sandra Super-Hölder vectors and the field of norms. arXiv:2209.02572 Preprint, arXiv:2209.02572 [math.NT] (2022). MSC: 11Sxx 12Jxx 13Jxx 22Exx BibTeX Cite \textit{L. Berger} and \textit{S. Rozensztajn}, ``Super-H\"older vectors and the field of norms'', Preprint, arXiv:2209.02572 [math.NT] (2022) Full Text: arXiv OA License
Aubert, Anne-Marie; Xu, Yujie The Explicit Local Langlands Correspondence for \(G_2\). arXiv:2208.12391 Preprint, arXiv:2208.12391 [math.RT] (2022). MSC: 11S37 22E50 BibTeX Cite \textit{A.-M. Aubert} and \textit{Y. Xu}, ``The Explicit Local Langlands Correspondence for $G_2$'', Preprint, arXiv:2208.12391 [math.RT] (2022) Full Text: arXiv OA License
Asayama, Takuya; Huang, Maozhou Ramification of Tate modules for rank \(2\) Drinfeld modules. arXiv:2204.13275 Preprint, arXiv:2204.13275 [math.NT] (2022). MSC: 11G09 11S15 11S20 11F80 BibTeX Cite \textit{T. Asayama} and \textit{M. Huang}, ``Ramification of Tate modules for rank $2$ Drinfeld modules'', Preprint, arXiv:2204.13275 [math.NT] (2022) Full Text: arXiv OA License
Garzella, Jack J. The perfectoid Tate algebra has uncountable Krull dimension. arXiv:2212.13315 Preprint, arXiv:2212.13315 [math.NT] (2022). MSC: 11G99 11S99 12J12 12J05 13K05 13J05 13J10 BibTeX Cite \textit{J. J. Garzella}, ``The perfectoid Tate algebra has uncountable Krull dimension'', Preprint, arXiv:2212.13315 [math.NT] (2022) Full Text: arXiv OA License
Duplij, Steven Polyadic rings of \(p\)-adic integers. arXiv:2212.08605 Preprint, arXiv:2212.08605 [math.RA] (2022). MSC: 17A42 20N15 11A07 11S31 BibTeX Cite \textit{S. Duplij}, ``Polyadic rings of $p$-adic integers'', Preprint, arXiv:2212.08605 [math.RA] (2022) Full Text: DOI arXiv OA License
Gundlach, Fabian Malle’s conjecture with multiple invariants. arXiv:2211.16698 Preprint, arXiv:2211.16698 [math.NT] (2022). MSC: 11R45 11R20 11S15 BibTeX Cite \textit{F. Gundlach}, ``Malle's conjecture with multiple invariants'', Preprint, arXiv:2211.16698 [math.NT] (2022) Full Text: arXiv OA License
Shmueli, Roy The probability that a p-adic random étale algebra is an unramified field. arXiv:2211.12995 Preprint, arXiv:2211.12995 [math.NT] (2022). MSC: 11S05 BibTeX Cite \textit{R. Shmueli}, ``The probability that a p-adic random \'etale algebra is an unramified field'', Preprint, arXiv:2211.12995 [math.NT] (2022) Full Text: arXiv OA License
Eddine, Marwa Ala The norm residue symbol for formal Drinfeld modules. arXiv:2211.10368 Preprint, arXiv:2211.10368 [math.NT] (2022). MSC: 11F85 11S31 BibTeX Cite \textit{M. A. Eddine}, ``The norm residue symbol for formal Drinfeld modules'', Preprint, arXiv:2211.10368 [math.NT] (2022) Full Text: arXiv OA License
Anschütz, Johannes; Heuer, Ben; Bras, Arthur-César Le v-vector bundles on p-adic fields and Sen theory via the Hodge-Tate stack. arXiv:2211.08470 Preprint, arXiv:2211.08470 [math.NT] (2022). MSC: 11S25 11S20 BibTeX Cite \textit{J. Anschütz} et al., ``v-vector bundles on p-adic fields and Sen theory via the Hodge-Tate stack'', Preprint, arXiv:2211.08470 [math.NT] (2022) Full Text: arXiv OA License
Aubert, Anne-Marie; Moussaoui, Ahmed; Solleveld, Maarten Affine Hecke algebras for classical \(p\)-adic groups. arXiv:2211.08196 Preprint, arXiv:2211.08196 [math.RT] (2022). MSC: 20G25 20C08 22E50 11S37 BibTeX Cite \textit{A.-M. Aubert} et al., ``Affine Hecke algebras for classical $p$-adic groups'', Preprint, arXiv:2211.08196 [math.RT] (2022) Full Text: arXiv OA License
Furusho, Hidekazu \(p\)-adic hypergeometric function related with \(p\)-adic multiple polylogarithms. arXiv:2211.07155 Preprint, arXiv:2211.07155 [math.NT] (2022). MSC: 11S80 12H25 33C05 BibTeX Cite \textit{H. Furusho}, ``$p$-adic hypergeometric function related with $p$-adic multiple polylogarithms'', Preprint, arXiv:2211.07155 [math.NT] (2022) Full Text: arXiv OA License
Hamblen, Spencer; Jones, Rafe Roots of unity and higher ramification in iterated extensions. arXiv:2211.02087 Preprint, arXiv:2211.02087 [math.NT] (2022). MSC: 37P20 11S15 37P15 37P05 11R18 BibTeX Cite \textit{S. Hamblen} and \textit{R. Jones}, ``Roots of unity and higher ramification in iterated extensions'', Preprint, arXiv:2211.02087 [math.NT] (2022) Full Text: arXiv OA License
Minculete, Nicusor; Savin, Diana A type of the entropy of an ideal. arXiv:2210.12149 Preprint, arXiv:2210.12149 [math.NT] (2022). MSC: 28D20 11A51 11A25 11S15 28D20 11A51 11A25 11S15 47B06 94A17 BibTeX Cite \textit{N. Minculete} and \textit{D. Savin}, ``A type of the entropy of an ideal'', Preprint, arXiv:2210.12149 [math.NT] (2022) Full Text: arXiv OA License
Sulakashna; Barman, Rupam Number of \(\mathbb{F}_q\)-points on Diagonal hypersurfaces and hypergeometric function. arXiv:2210.11732 Preprint, arXiv:2210.11732 [math.NT] (2022). MSC: 11G25 33E50 11S80 11T24 BibTeX Cite \textit{Sulakashna} and \textit{R. Barman}, ``Number of $\mathbb{F}_q$-points on Diagonal hypersurfaces and hypergeometric function'', Preprint, arXiv:2210.11732 [math.NT] (2022) Full Text: arXiv OA License
Suzuki, Takashi Class field theory, Hasse principles and Picard-Brauer duality for two-dimensional local rings. arXiv:2210.01396 Preprint, arXiv:2210.01396 [math.NT] (2022). MSC: 11G45 14F20 19F05 11S25 BibTeX Cite \textit{T. Suzuki}, ``Class field theory, Hasse principles and Picard-Brauer duality for two-dimensional local rings'', Preprint, arXiv:2210.01396 [math.NT] (2022) Full Text: arXiv OA License
Matringe, Nadir; Trias, Justin Whittaker functionals and contragredient in characteristic not \(p\). arXiv:2209.15353 Preprint, arXiv:2209.15353 [math.RT] (2022). MSC: 22E50 20C20 11S23 BibTeX Cite \textit{N. Matringe} and \textit{J. Trias}, ``Whittaker functionals and contragredient in characteristic not $p$'', Preprint, arXiv:2209.15353 [math.RT] (2022) Full Text: arXiv OA License
Glazunov, Nikolaj Abelian varieties, homogeneous spaces and duality. arXiv:2209.09507 Preprint, arXiv:2209.09507 [math.AG] (2022). MSC: 11R34 11S25 11S31 BibTeX Cite \textit{N. Glazunov}, ``Abelian varieties, homogeneous spaces and duality'', Preprint, arXiv:2209.09507 [math.AG] (2022) Full Text: arXiv OA License
Doyon, Anthony; Lei, Antonio Lambda-invariants of Mazur–Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series. arXiv:2209.01669 Preprint, arXiv:2209.01669 [math.NT] (2022). MSC: 11R23 11S40 11G05 BibTeX Cite \textit{A. Doyon} and \textit{A. Lei}, ``Lambda-invariants of Mazur--Tate elements attached to Ramanujan's tau function and congruences with Eisenstein series'', Preprint, arXiv:2209.01669 [math.NT] (2022) Full Text: arXiv OA License
Murotani, Takahiro Geometric properties of homomorphisms between the absolute Galois groups of mixed-characteristic complete discrete valuation fields with perfect residue fields. arXiv:2208.11259 Preprint, arXiv:2208.11259 [math.NT] (2022). MSC: 11S20 11S31 14G20 14H30 BibTeX Cite \textit{T. Murotani}, ``Geometric properties of homomorphisms between the absolute Galois groups of mixed-characteristic complete discrete valuation fields with perfect residue fields'', Preprint, arXiv:2208.11259 [math.NT] (2022) Full Text: arXiv OA License
Boylan, Hatice; Skoruppa, Nils-Peter A classical approach to relative quadratic extensions. arXiv:2208.03515 Preprint, arXiv:2208.03515 [math.NT] (2022). MSC: 11R11 11R29 11S99 BibTeX Cite \textit{H. Boylan} and \textit{N.-P. Skoruppa}, ``A classical approach to relative quadratic extensions'', Preprint, arXiv:2208.03515 [math.NT] (2022) Full Text: arXiv OA License
Sing, Mark O. -S. A Dynamical Analogue of the Criterion of Néron-Ogg-Shafarevich. arXiv:2208.00359 Preprint, arXiv:2208.00359 [math.NT] (2022). MSC: 37P05 11S15 BibTeX Cite \textit{M. O. S. Sing}, ``A Dynamical Analogue of the Criterion of N\'eron-Ogg-Shafarevich'', Preprint, arXiv:2208.00359 [math.NT] (2022) Full Text: arXiv OA License
Meli, Alexander Bertoloni; Hamann, Linus; Nguyen, Kieu Hieu Compatibility of the Fargues–Scholze correspondence for unitary groups. arXiv:2207.13193 Preprint, arXiv:2207.13193 [math.NT] (2022). MSC: 11S37 BibTeX Cite \textit{A. B. Meli} et al., ``Compatibility of the Fargues--Scholze correspondence for unitary groups'', Preprint, arXiv:2207.13193 [math.NT] (2022) Full Text: arXiv OA License
Jha, Somnath; Majumdar, Dipramit; Shingavekar, Pratiksha \(3\)-Selmer group, ideal class groups and cube sum problem. arXiv:2207.12487 Preprint, arXiv:2207.12487 [math.NT] (2022). MSC: 11G05 11R29 11R34 11G40 11S25 BibTeX Cite \textit{S. Jha} et al., ``$3$-Selmer group, ideal class groups and cube sum problem'', Preprint, arXiv:2207.12487 [math.NT] (2022) Full Text: arXiv OA License
Polyakov, Vladimir Artin-Hasse formula for \(p^m-\)primary elements. arXiv:2206.11767 Preprint, arXiv:2206.11767 [math.NT] (2022). MSC: 11S31 BibTeX Cite \textit{V. Polyakov}, ``Artin-Hasse formula for $p^m-$primary elements'', Preprint, arXiv:2206.11767 [math.NT] (2022) Full Text: arXiv OA License
Bürgisser, Peter; Kulkarni, Avinash; Lerario, Antonio Nonarchimedean integral geometry. arXiv:2206.03708 Preprint, arXiv:2206.03708 [math.AG] (2022). MSC: 11S05 14G20 14N15 32P05 53C65 60D05 BibTeX Cite \textit{P. Bürgisser} et al., ``Nonarchimedean integral geometry'', Preprint, arXiv:2206.03708 [math.AG] (2022) Full Text: arXiv OA License
Yatagawa, Yuri Singular support and Characteristic cycle of a rank one sheaf in codimension two. arXiv:2206.02989 Preprint, arXiv:2206.02989 [math.AG] (2022). MSC: 11S15 14F20 BibTeX Cite \textit{Y. Yatagawa}, ``Singular support and Characteristic cycle of a rank one sheaf in codimension two'', Preprint, arXiv:2206.02989 [math.AG] (2022) Full Text: arXiv OA License
Harris, Michael Local Langlands correspondences. arXiv:2205.03848 Preprint, arXiv:2205.03848 [math.RT] (2022). MSC: 11S37 22E50 BibTeX Cite \textit{M. Harris}, ``Local Langlands correspondences'', Preprint, arXiv:2205.03848 [math.RT] (2022) Full Text: arXiv OA License
Abdellatif, Ramla; Pisolkar, Supriya; Rougnant, Marine; Thomas, Lara From Fontaine-Mazur conjecture to analytic pro-p groups – A survey. arXiv:2205.03558 Preprint, arXiv:2205.03558 [math.NT] (2022). MSC: 11S15 11S20 11S25 11S31 BibTeX Cite \textit{R. Abdellatif} et al., ``From Fontaine-Mazur conjecture to analytic pro-p groups -- A survey'', Preprint, arXiv:2205.03558 [math.NT] (2022) Full Text: arXiv OA License
Ng, Nathan; Shen, Quanli; Wong, Peng-Jie The eighth moment of the Riemann zeta function. arXiv:2204.13891 Preprint, arXiv:2204.13891 [math.NT] (2022). MSC: 11M06 11M41 11S40 BibTeX Cite \textit{N. Ng} et al., ``The eighth moment of the Riemann zeta function'', Preprint, arXiv:2204.13891 [math.NT] (2022) Full Text: arXiv OA License
Shmueli, Roy The Number of Roots of a Random Polynomial over The Field of \(p\)-adic Numbers. arXiv:2204.03473 Preprint, arXiv:2204.03473 [math.NT] (2022). MSC: 11S05 BibTeX Cite \textit{R. Shmueli}, ``The Number of Roots of a Random Polynomial over The Field of $p$-adic Numbers'', Preprint, arXiv:2204.03473 [math.NT] (2022) Full Text: arXiv OA License
Tange, Ryoto; Ueki, Jun Twisted Iwasawa invariants of knots. arXiv:2203.03239 Preprint, arXiv:2203.03239 [math.GT] (2022). MSC: 57K10 11R23 57M10 11S99 BibTeX Cite \textit{R. Tange} and \textit{J. Ueki}, ``Twisted Iwasawa invariants of knots'', Preprint, arXiv:2203.03239 [math.GT] (2022) Full Text: arXiv OA License
Terpereau, Ronan Real structures on complex algebraic varieties with a reductive group action. arXiv:2203.01232 Preprint, arXiv:2203.01232 [math.AG] (2022). MSC: 14L30 14M17 14M27 14P99 20G20 11S25 BibTeX Cite \textit{R. Terpereau}, ``Real structures on complex algebraic varieties with a reductive group action'', Preprint, arXiv:2203.01232 [math.AG] (2022) Full Text: arXiv OA License
Bharadwaj, Abhishek; Kumar, Veekesh; Pal, Aprameyo; Thangadurai, R. Sufficient conditions for a problem of Polya. arXiv:2202.04452 Preprint, arXiv:2202.04452 [math.NT] (2022). MSC: 11J87 11S99 BibTeX Cite \textit{A. Bharadwaj} et al., ``Sufficient conditions for a problem of Polya'', Preprint, arXiv:2202.04452 [math.NT] (2022) Full Text: arXiv OA License
Miller, Lance Edward; Buium, Alexandru Arithmetic differential geometry in the arithmetic PDE setting, I: connections. arXiv:2202.02400 Preprint, arXiv:2202.02400 [math.NT] (2022). MSC: 11S31 17B56 53B05 53C21 BibTeX Cite \textit{L. E. Miller} and \textit{A. Buium}, ``Arithmetic differential geometry in the arithmetic PDE setting, I: connections'', Preprint, arXiv:2202.02400 [math.NT] (2022) Full Text: arXiv OA License
Berger, Laurent The perfectoid commutant of Lubin-Tate power series. arXiv:2202.02020 Preprint, arXiv:2202.02020 [math.NT] (2022). MSC: 11Sxx 12Jxx 13Jxx BibTeX Cite \textit{L. Berger}, ``The perfectoid commutant of Lubin-Tate power series'', Preprint, arXiv:2202.02020 [math.NT] (2022) Full Text: arXiv OA License
Bah, Amadou Variation of the Swan conductor of an \(\mathbb{F}_{\ell}\)-sheaf on a rigid annulus. arXiv:2201.12820 Preprint, arXiv:2201.12820 [math.AG] (2022). MSC: 14E22 11S15 14G22 BibTeX Cite \textit{A. Bah}, ``Variation of the Swan conductor of an $\mathbb{F}_{\ell}$-sheaf on a rigid annulus'', Preprint, arXiv:2201.12820 [math.AG] (2022) Full Text: arXiv OA License
Davis, André A Computation of the Action of the Morava Stabilizer Group on the Lubin-Tate Deformation Ring. arXiv:2201.08913 Preprint, arXiv:2201.08913 [math.AT] (2022). MSC: 55N22 11S31 BibTeX Cite \textit{A. Davis}, ``A Computation of the Action of the Morava Stabilizer Group on the Lubin-Tate Deformation Ring'', Preprint, arXiv:2201.08913 [math.AT] (2022) Full Text: arXiv OA License
Ghosh, Sohan; Jha, Somnath; Shekhar, Sudhanshu Iwasawa theory of fine Selmer groups over global fields. arXiv:2201.01751 Preprint, arXiv:2201.01751 [math.NT] (2022). MSC: 11R23 11G05 11S25 11R60 BibTeX Cite \textit{S. Ghosh} et al., ``Iwasawa theory of fine Selmer groups over global fields'', Preprint, arXiv:2201.01751 [math.NT] (2022) Full Text: arXiv OA License
Katagiri, Yu Kummer-type congruences for multi-poly-Bernoulli numbers. (English) Zbl 1528.11011 Comment. Math. Univ. St. Pauli 69, 75-85 (2021). MSC: 11B68 11A07 11S80 PDFBibTeX XMLCite \textit{Y. Katagiri}, Comment. Math. Univ. St. Pauli 69, 75--85 (2021; Zbl 1528.11011) Full Text: arXiv Link
Ahmad, Owais; Wani, Abid H.; Hazari, Abid Ayub; Sheikh, Neyaz A. Nonuniform low-pass filters on non Archimedean local fields. (English) Zbl 07752774 J. Numer. Anal. Approx. Theory 50, No. 1, 27-43 (2021). MSC: 42C40 42C15 43A70 11S85 PDFBibTeX XMLCite \textit{O. Ahmad} et al., J. Numer. Anal. Approx. Theory 50, No. 1, 27--43 (2021; Zbl 07752774)
Betina, Adel; Williams, Chris Arithmetic of \(p\)-irregular modular forms: families and \(p\)-adic \(L\)-functions. (English) Zbl 1523.11082 Mathematika 67, No. 4, 917-948 (2021). MSC: 11F33 11F41 11F67 11R23 11S40 PDFBibTeX XMLCite \textit{A. Betina} and \textit{C. Williams}, Mathematika 67, No. 4, 917--948 (2021; Zbl 1523.11082) Full Text: DOI arXiv
Kim, Dae San; Kim, Taekyun; Kim, Han Young; Kwon, J. Identities of symmetry for Euler polynomials and alternating power sums. (English) Zbl 1524.11056 Proc. Jangjeon Math. Soc. 24, No. 2, 153-170 (2021). MSC: 11B68 11S80 05A19 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Proc. Jangjeon Math. Soc. 24, No. 2, 153--170 (2021; Zbl 1524.11056) Full Text: DOI
Ahmad, Owais; Bhat, M. Younus; Sheikh, Neyaz A. Characterization of wavelets associated with \(AB\)-MRA on \(L^2(\mathbb{R}^n)\). (English) Zbl 1524.42070 An. Univ. Craiova, Ser. Mat. Inf. 48, No. 2, 293-306 (2021). MSC: 42C40 42C15 43A70 11S85 PDFBibTeX XMLCite \textit{O. Ahmad} et al., An. Univ. Craiova, Ser. Mat. Inf. 48, No. 2, 293--306 (2021; Zbl 1524.42070) Full Text: DOI
Esnault, Hélène; Srinivas, Vasudevan Bounding ramification by covers and curves. (English) Zbl 1510.14016 Kechris, A. (ed.) et al., Nine mathematical challenges. An elucidation. Proceedings of the Linde Hall inaugural math symposium, California Institute of Technology, Pasadena, CA, USA, February 22–24, 2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 104, 31-43 (2021). MSC: 14F35 11S15 PDFBibTeX XMLCite \textit{H. Esnault} and \textit{V. Srinivas}, Proc. Symp. Pure Math. 104, 31--43 (2021; Zbl 1510.14016) Full Text: DOI arXiv
Chenevier, Gaëtan (ed.); Kaletha, Tasho (ed.); Kudla, Stephen (ed.); Morel, Sophie (ed.) Automorphic forms, geometry and arithmetic. Abstracts from the workshop held August 22–28, 2021 (hybrid meeting). (English) Zbl 1506.00056 Oberwolfach Rep. 18, No. 3, 2089-2156 (2021). MSC: 00B05 00B25 11-06 14-06 11S37 11F77 14G45 14D24 14G40 PDFBibTeX XMLCite \textit{G. Chenevier} (ed.) et al., Oberwolfach Rep. 18, No. 3, 2089--2156 (2021; Zbl 1506.00056) Full Text: DOI
Hoshi, Yuichiro Introduction to mono-anabelian geometry. (English. French summary) Zbl 1506.14055 Algèbre et théorie des nombres 2021. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2021. Besançon: Presses Universitaires de Franche-Comté. 5-44 (2021). MSC: 14G45 11S20 PDFBibTeX XMLCite \textit{Y. Hoshi}, Publ. Math. Besançon, Algèbre Théor. Nombres 2021, 5--44 (2021; Zbl 1506.14055) Full Text: Link
Memić, Nacima; Peco, Sead Mahler coefficients of the 2-adic shift. (English) Zbl 1524.11217 Acta Univ. Apulensis, Math. Inform. 67, 61-67 (2021). MSC: 11S82 37A05 PDFBibTeX XMLCite \textit{N. Memić} and \textit{S. Peco}, Acta Univ. Apulensis, Math. Inform. 67, 61--67 (2021; Zbl 1524.11217)
Suzuki, Takashi An improvement of the duality formalism of the rational étale site. (English) Zbl 1507.14027 RIMS Kôkyûroku Bessatsu B86, 287-330 (2021). MSC: 14F20 11S25 11G10 PDFBibTeX XMLCite \textit{T. Suzuki}, RIMS Kôkyûroku Bessatsu B86, 287--330 (2021; Zbl 1507.14027) Full Text: arXiv Link
Ghate, Eknath A zig-zag conjecture and local constancy for Galois representations. (English) Zbl 1499.11211 RIMS Kôkyûroku Bessatsu B86, 249-268 (2021). MSC: 11F80 11S37 PDFBibTeX XMLCite \textit{E. Ghate}, RIMS Kôkyûroku Bessatsu B86, 249--268 (2021; Zbl 1499.11211) Full Text: arXiv Link
Suwa, Noriyuki Geometric aspects of Lucas sequences, a survey. (English) Zbl 1504.11128 RIMS Kôkyûroku Bessatsu B86, 149-176 (2021). MSC: 11S82 11B39 14L15 11-02 PDFBibTeX XMLCite \textit{N. Suwa}, RIMS Kôkyûroku Bessatsu B86, 149--176 (2021; Zbl 1504.11128) Full Text: Link
Shih, Sheng-Chi; Wang, Jun On Sharifi’s conjecture: exceptional case. (English) Zbl 1499.11340 Trans. Am. Math. Soc. 374, No. 12, 8531-8546 (2021). MSC: 11R23 11F33 11F80 11R34 11S25 PDFBibTeX XMLCite \textit{S.-C. Shih} and \textit{J. Wang}, Trans. Am. Math. Soc. 374, No. 12, 8531--8546 (2021; Zbl 1499.11340) Full Text: DOI arXiv
Beukers, Frits A matrix version of Dwork’s congruences. (English) Zbl 1499.11355 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 47-59 (2021). MSC: 11S80 33E50 14G10 PDFBibTeX XMLCite \textit{F. Beukers}, Springer Proc. Math. Stat. 373, 47--59 (2021; Zbl 1499.11355) Full Text: DOI arXiv
Asakura, Masanori Frobenius action on a hypergeometric curve and an algorithm for computing values of Dwork’s \(p\)-adic hypergeometric functions. (English) Zbl 1499.11354 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 1-45 (2021). MSC: 11S80 14H50 14Q05 33E50 PDFBibTeX XMLCite \textit{M. Asakura}, Springer Proc. Math. Stat. 373, 1--45 (2021; Zbl 1499.11354) Full Text: DOI
Simsek, Yilmaz; Kucukoglu, Irem Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions. (English) Zbl 1508.11037 Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 795-857 (2021). MSC: 11B83 11S80 60C05 PDFBibTeX XMLCite \textit{Y. Simsek} and \textit{I. Kucukoglu}, Springer Optim. Appl. 179, 795--857 (2021; Zbl 1508.11037) Full Text: DOI
Lichtin, Ben Additive features of determinant values over \(p\)-adic rings. (English) Zbl 1508.11114 Online J. Anal. Comb. 16, Article 11, 20 p. (2021). MSC: 11T23 11S85 52C10 PDFBibTeX XMLCite \textit{B. Lichtin}, Online J. Anal. Comb. 16, Article 11, 20 p. (2021; Zbl 1508.11114) Full Text: Link
Ray, Jishnu; Wei, Feng; Zábrádi, Gergely Multivariable \((\varphi ,\Gamma )\)-modules and representations of products of Galois groups: the case of the imperfect residue field. (English. French summary) Zbl 1497.11283 Bull. Soc. Math. Fr. 149, No. 3, 521-546 (2021). MSC: 11S37 11S20 20G05 20G25 22E50 PDFBibTeX XMLCite \textit{J. Ray} et al., Bull. Soc. Math. Fr. 149, No. 3, 521--546 (2021; Zbl 1497.11283) Full Text: DOI arXiv
Küçükoğlu, İrem; Şimşek, Yilmaz Computational identities for extensions of some families of special numbers and polynomials. (English) Zbl 1493.11059 Turk. J. Math. 45, No. 5, 2341-2365 (2021). MSC: 11B83 05A10 05A15 11S80 26C05 33E20 PDFBibTeX XMLCite \textit{İ. Küçükoğlu} and \textit{Y. Şimşek}, Turk. J. Math. 45, No. 5, 2341--2365 (2021; Zbl 1493.11059) Full Text: DOI
Fomichëv, Vladimir Mikhaĭlovich On degree of nonlinearity of the coordinate polynomials for a product of transformations of a binary vector space. (Russian. English summary) Zbl 1496.15024 Diskretn. Anal. Issled. Oper. 28, No. 2, 74-91 (2021). MSC: 15B36 11S05 12D05 PDFBibTeX XMLCite \textit{V. M. Fomichëv}, Diskretn. Anal. Issled. Oper. 28, No. 2, 74--91 (2021; Zbl 1496.15024) Full Text: DOI MNR
Kim, Dae San; Kim, Taekyun; Kwon, Jongkyum; Lee, Si-Hyeon; Park, Seongho On \(\lambda\)-linear functionals arising from \(p\)-adic integrals on \(\mathbb{Z}_p\). (English) Zbl 1494.05015 Adv. Difference Equ. 2021, Paper No. 479, 12 p. (2021). MSC: 05A40 11S80 11B68 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Difference Equ. 2021, Paper No. 479, 12 p. (2021; Zbl 1494.05015) Full Text: DOI
Tian, Yisheng Poitou-Tate sequence for complex of tori over \(p\)-adic function fields. (English) Zbl 1497.11282 Math. Res. Lett. 28, No. 5, 1551-1593 (2021). MSC: 11S25 11R37 11R34 PDFBibTeX XMLCite \textit{Y. Tian}, Math. Res. Lett. 28, No. 5, 1551--1593 (2021; Zbl 1497.11282) Full Text: DOI arXiv
Kwon, Jongkyum; Park, Jin-Woo; Yun, Sang Jo Some identities of the poly-Changhee and unipoly Changhee polynomials. (English) Zbl 1492.11043 Adv. Stud. Contemp. Math., Kyungshang 31, No. 4, 471-484 (2021). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{J. Kwon} et al., Adv. Stud. Contemp. Math., Kyungshang 31, No. 4, 471--484 (2021; Zbl 1492.11043) Full Text: DOI
Simsek, Yilmaz Construction of generalized Leibnitz type numbers and their properties. (English) Zbl 1499.05049 Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 311-323 (2021). MSC: 05A15 11B65 11B68 11B83 11S80 26C05 33B15 PDFBibTeX XMLCite \textit{Y. Simsek}, Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 311--323 (2021; Zbl 1499.05049) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum A note on \(q\)-analogue of Catalan numbers arising from fermionic \(p\)-adic \(q\)-integral on \(\mathbb{Z}_p\). (English) Zbl 1492.11041 Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 279-286 (2021). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 279--286 (2021; Zbl 1492.11041) Full Text: DOI
Kilar, Neslihan; Simsek, Yilmaz Combinatorial sums involving Fubini type numbers and other special numbers and polynomials: approach trigonometric functions and \(p\)-adic integrals. (English) Zbl 1499.05039 Adv. Stud. Contemp. Math., Kyungshang 31, No. 1, 75-87 (2021). MSC: 05A15 11B68 11B73 11S80 33B10 PDFBibTeX XMLCite \textit{N. Kilar} and \textit{Y. Simsek}, Adv. Stud. Contemp. Math., Kyungshang 31, No. 1, 75--87 (2021; Zbl 1499.05039) Full Text: DOI
Kim, Yunjae; Park, Jin-Woo; Kwon, Jongkyum Some identities of Carlitz’s type degenerate \(q\)-Changhee polynomials and numbers. (English) Zbl 1492.11042 Proc. Jangjeon Math. Soc. 24, No. 1, 21-32 (2021). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{Y. Kim} et al., Proc. Jangjeon Math. Soc. 24, No. 1, 21--32 (2021; Zbl 1492.11042) Full Text: DOI
Sarfraz, Naqash; Aslam, Muhammad Some weighted estimates for the commutators of \(p\)-adic Hardy operator on two weighted \(p\)-adic Herz-type spaces. (English) Zbl 1525.42028 AIMS Math. 6, No. 9, 9633-9646 (2021). MSC: 42B35 42B25 42B20 11S80 26D15 PDFBibTeX XMLCite \textit{N. Sarfraz} and \textit{M. Aslam}, AIMS Math. 6, No. 9, 9633--9646 (2021; Zbl 1525.42028) Full Text: DOI
Mihara, Tomoki Schneider-Teitelbaum duality for locally profinite groups. (English) Zbl 1489.11196 Categ. Gen. Algebr. Struct. Appl. 14, No. 1, 119-166 (2021). MSC: 11S80 11R23 16T05 18M05 46S10 PDFBibTeX XMLCite \textit{T. Mihara}, Categ. Gen. Algebr. Struct. Appl. 14, No. 1, 119--166 (2021; Zbl 1489.11196) Full Text: DOI
Donepudi, Ravi; Li, Wanlin Vanishing of Dirichlet \(L\)-functions at the central point over function fields. (English) Zbl 1496.11121 Rocky Mt. J. Math. 51, No. 5, 1615-1628 (2021). MSC: 11M38 11S40 11T22 14G10 PDFBibTeX XMLCite \textit{R. Donepudi} and \textit{W. Li}, Rocky Mt. J. Math. 51, No. 5, 1615--1628 (2021; Zbl 1496.11121) Full Text: DOI arXiv Link
Awtrey, Chad; Stucker, D. Haydn Eisenstein polynomials defining cyclic \(p\)-adic fields with minimal wild ramification. (English) Zbl 1499.11349 JP J. Algebra Number Theory Appl. 49, No. 1, 93-100 (2021). MSC: 11S15 11S20 PDFBibTeX XMLCite \textit{C. Awtrey} and \textit{D. H. Stucker}, JP J. Algebra Number Theory Appl. 49, No. 1, 93--100 (2021; Zbl 1499.11349) Full Text: DOI
Ikeda, Kazim İlhan; Serbest, Erol Local abelian Kato-Parshin reciprocity law: a survey. (English) Zbl 1499.11353 Hacet. J. Math. Stat. 50, No. 5, 1225-1250 (2021). MSC: 11S70 19F05 PDFBibTeX XMLCite \textit{K. İ. Ikeda} and \textit{E. Serbest}, Hacet. J. Math. Stat. 50, No. 5, 1225--1250 (2021; Zbl 1499.11353) Full Text: DOI
Biswas, Sazzad Ali Epsilon factors of symplectic type characters in the wild case. (English) Zbl 1484.11211 Forum Math. 33, No. 2, 569-577 (2021). MSC: 11S37 22E50 PDFBibTeX XMLCite \textit{S. A. Biswas}, Forum Math. 33, No. 2, 569--577 (2021; Zbl 1484.11211) Full Text: DOI arXiv
Beukers, Frits; Vlasenko, Masha Dwork crystals. I. (English) Zbl 1492.14039 Int. Math. Res. Not. 2021, No. 12, 8807-8844 (2021). Reviewer: B. Z. Moroz (Bonn) MSC: 14G20 11F30 11F85 11S80 11G25 14M25 14L05 32P05 33C20 PDFBibTeX XMLCite \textit{F. Beukers} and \textit{M. Vlasenko}, Int. Math. Res. Not. 2021, No. 12, 8807--8844 (2021; Zbl 1492.14039) Full Text: DOI arXiv
Raibaut, Michel Motivic wave front sets. (English) Zbl 1504.14029 Int. Math. Res. Not. 2021, No. 17, 13075-13152 (2021). Reviewer: Immanuel Halupczok (Leeds) MSC: 14E18 03C60 03C98 11S80 11U09 22E50 35A18 PDFBibTeX XMLCite \textit{M. Raibaut}, Int. Math. Res. Not. 2021, No. 17, 13075--13152 (2021; Zbl 1504.14029) Full Text: DOI arXiv
Göral, Haydar; Sertbaş, Doğa Can Applications of class numbers and Bernoulli numbers to harmonic type sums. (English) Zbl 1496.11034 Bull. Korean Math. Soc. 58, No. 6, 1463-1481 (2021). MSC: 11B68 11B83 11S80 05A15 PDFBibTeX XMLCite \textit{H. Göral} and \textit{D. C. Sertbaş}, Bull. Korean Math. Soc. 58, No. 6, 1463--1481 (2021; Zbl 1496.11034) Full Text: DOI
Cohen, Boaz A generalization of Bauer’s identical congruence. (English) Zbl 07497797 Tokyo J. Math. 44, No. 2, 515-542 (2021). MSC: 11C08 11R04 11Sxx 11A07 PDFBibTeX XMLCite \textit{B. Cohen}, Tokyo J. Math. 44, No. 2, 515--542 (2021; Zbl 07497797) Full Text: DOI
Lim, Meng Fai On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions. (English) Zbl 1483.11115 Tokyo J. Math. 44, No. 2, 477-494 (2021). MSC: 11G05 11R23 11S25 PDFBibTeX XMLCite \textit{M. F. Lim}, Tokyo J. Math. 44, No. 2, 477--494 (2021; Zbl 1483.11115) Full Text: DOI
Bhat, M. Younus Characterization and wavelet packets associated with VN-MRA on \(L^2(K,\mathbb{C}^N)\). (English) Zbl 1485.42050 Azerb. J. Math. 11, No. 2, 3-24 (2021). Reviewer: Yuri A. Farkov (Moskva) MSC: 42C40 42C15 43A70 11S85 PDFBibTeX XMLCite \textit{M. Y. Bhat}, Azerb. J. Math. 11, No. 2, 3--24 (2021; Zbl 1485.42050) Full Text: Link
Caruso, Xavier; Eid, Élie; Lercier, Reynald Fast computation of elliptic curve isogenies in characteristic two. (English) Zbl 1492.11106 J. Lond. Math. Soc., II. Ser. 104, No. 4, 1901-1929 (2021). Reviewer: Lukas Zobernig (Auckland) MSC: 11G20 11S99 11Y99 14Q05 PDFBibTeX XMLCite \textit{X. Caruso} et al., J. Lond. Math. Soc., II. Ser. 104, No. 4, 1901--1929 (2021; Zbl 1492.11106) Full Text: DOI arXiv
Arroyo-Ortiz, Edilberto A note on the \(p\)-adic Kozyrev wavelets basis. (English) Zbl 1496.42044 Rev. Colomb. Mat. 55, No. 1, 1-12 (2021). Reviewer: Azhar Y. Tantary (Srinagar) MSC: 42C40 46E35 11S80 PDFBibTeX XMLCite \textit{E. Arroyo-Ortiz}, Rev. Colomb. Mat. 55, No. 1, 1--12 (2021; Zbl 1496.42044) Full Text: DOI
Tanno, Mahito; Yasuda, Takehiko The wild McKay correspondence for cyclic groups of prime power order. (English) Zbl 1491.14025 Ill. J. Math. 65, No. 3, 619-654 (2021). MSC: 14E16 11S15 14B05 14E18 14E22 14G17 14R20 PDFBibTeX XMLCite \textit{M. Tanno} and \textit{T. Yasuda}, Ill. J. Math. 65, No. 3, 619--654 (2021; Zbl 1491.14025) Full Text: DOI arXiv Link
Hussain, Amjad; Sarfraz, Naqash; Khan, Ilyas; Alsubie, Abdelaziz; Hamadneh, Nawaf N. The boundedness of commutators of rough \(p\)-adic fractional Hardy type operators on Herz-type spaces. (English) Zbl 1504.42078 J. Inequal. Appl. 2021, Paper No. 123, 13 p. (2021). MSC: 42B35 42B25 42B20 11S80 26D10 PDFBibTeX XMLCite \textit{A. Hussain} et al., J. Inequal. Appl. 2021, Paper No. 123, 13 p. (2021; Zbl 1504.42078) Full Text: DOI
Webster, Joe log-Coulomb gas with norm-density in \(p\)-fields. (English) Zbl 1484.81102 \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 1, 1-43 (2021). MSC: 81V10 11S40 32A20 26C15 32S45 82D05 PDFBibTeX XMLCite \textit{J. Webster}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 13, No. 1, 1--43 (2021; Zbl 1484.81102) Full Text: DOI arXiv
Lahiri, Aranya Resolutions of locally analytic principal series representations of \(\mathrm{GL}_2\). (English) Zbl 1490.22012 Res. Number Theory 7, No. 4, Paper No. 66, 21 p. (2021). Reviewer: Barbara Bošnjak (Zagreb) MSC: 22E50 11S37 PDFBibTeX XMLCite \textit{A. Lahiri}, Res. Number Theory 7, No. 4, Paper No. 66, 21 p. (2021; Zbl 1490.22012) Full Text: DOI arXiv