Zhang, Xinyao On the modularity of elliptic curves over the cyclotomic \(\mathbb{Z}_p\)-extension of some real quadratic fields. (English) Zbl 07743413 Ramanujan J. 62, No. 2, 545-550 (2023). MSC: 11G05 11R23 PDF BibTeX XML Cite \textit{X. Zhang}, Ramanujan J. 62, No. 2, 545--550 (2023; Zbl 07743413) Full Text: DOI arXiv
Kim, Chan-Ho; Longo, Matteo An explicit comparison of anticyclotomic \(p\)-adic \(L\)-functions for hida families. (English) Zbl 07739854 Int. J. Number Theory 19, No. 9, 2021-2050 (2023). MSC: 11G18 11G40 11R52 PDF BibTeX XML Cite \textit{C.-H. Kim} and \textit{M. Longo}, Int. J. Number Theory 19, No. 9, 2021--2050 (2023; Zbl 07739854) Full Text: DOI arXiv
Ray, Anwesh Arithmetic statistics and Diophantine stability for elliptic curves. (English) Zbl 07739354 Ramanujan J. 62, No. 1, 215-239 (2023). MSC: 11G05 11R23 PDF BibTeX XML Cite \textit{A. Ray}, Ramanujan J. 62, No. 1, 215--239 (2023; Zbl 07739354) Full Text: DOI arXiv
Sumida-Takahashi, Hiroki A generalized problem associated to the Kummer-Vandiver conjecture. (English) Zbl 07736689 Arnold Math. J. 9, No. 3, 381-391 (2023). MSC: 11R23 11R18 11R29 11R70 PDF BibTeX XML Cite \textit{H. Sumida-Takahashi}, Arnold Math. J. 9, No. 3, 381--391 (2023; Zbl 07736689) Full Text: DOI
Ray, Anwesh; Sujatha, R. Arithmetic statistics for the fine Selmer group in Iwasawa theory. (English) Zbl 07735434 Res. Number Theory 9, No. 3, Paper No. 59, 25 p. (2023). MSC: 11G05 11R23 11R45 PDF BibTeX XML Cite \textit{A. Ray} and \textit{R. Sujatha}, Res. Number Theory 9, No. 3, Paper No. 59, 25 p. (2023; Zbl 07735434) Full Text: DOI arXiv
Bullach, Dominik; Hofer, Martin The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields. (English) Zbl 07732794 Doc. Math. 28, No. 2, 369-418 (2023). MSC: 11R42 11R23 11R29 PDF BibTeX XML Cite \textit{D. Bullach} and \textit{M. Hofer}, Doc. Math. 28, No. 2, 369--418 (2023; Zbl 07732794) Full Text: DOI arXiv
Jaulent, Jean-François Conjecture cyclotomique et semi-simplicité des modules d’Iwasawa. (Conjecture cyclotomique et semi-simplicité des modules d’Iwasawa.) (French. English summary) Zbl 07732766 Acta Arith. 208, No. 2, 185-197 (2023). MSC: 11R23 11R37 PDF BibTeX XML Cite \textit{J.-F. Jaulent}, Acta Arith. 208, No. 2, 185--197 (2023; Zbl 07732766) Full Text: DOI
Kundu, Debanjana; Ray, Anwesh Erratum to: “Statistics for Iwasawa invariants of elliptic curves”. (English) Zbl 07731977 Trans. Am. Math. Soc. 376, No. 8, 6009-6010 (2023). MSC: 11R23 11R45 11G05 PDF BibTeX XML Cite \textit{D. Kundu} and \textit{A. Ray}, Trans. Am. Math. Soc. 376, No. 8, 6009--6010 (2023; Zbl 07731977) Full Text: DOI
Bullach, Dominik; Burns, David; Sano, Takamichi On \(p\)-adic families of special elements for rank-one motives. (English) Zbl 07731959 Trans. Am. Math. Soc. 376, No. 8, 5377-5407 (2023). MSC: 11G40 11R23 PDF BibTeX XML Cite \textit{D. Bullach} et al., Trans. Am. Math. Soc. 376, No. 8, 5377--5407 (2023; Zbl 07731959) Full Text: DOI arXiv
Ray, Anwesh Remarks on Hilbert’s tenth problem and the Iwasawa theory of elliptic curves. (English) Zbl 07731654 Bull. Aust. Math. Soc. 107, No. 3, 440-450 (2023). MSC: 11R23 11G05 11U05 PDF BibTeX XML Cite \textit{A. Ray}, Bull. Aust. Math. Soc. 107, No. 3, 440--450 (2023; Zbl 07731654) Full Text: DOI arXiv
Çiperiani, Mirela Supersingular elliptic curves over \(\mathbb{Z}_p\)-extensions. (English) Zbl 07723220 J. Reine Angew. Math. 801, 45-56 (2023). MSC: 11G05 11R23 11G40 14H52 PDF BibTeX XML Cite \textit{M. Çiperiani}, J. Reine Angew. Math. 801, 45--56 (2023; Zbl 07723220) Full Text: DOI
Büyükboduk, Kâzım; Ochiai, Tadashi Main conjectures for higher rank nearly ordinary families. I. (English) Zbl 07722264 J. Number Theory 252, 1-73 (2023). MSC: 11R23 11F11 11R20 PDF BibTeX XML Cite \textit{K. Büyükboduk} and \textit{T. Ochiai}, J. Number Theory 252, 1--73 (2023; Zbl 07722264) Full Text: DOI arXiv
Kleine, Sören; Müller, Katharina Fine Selmer groups and ideal class groups. (English) Zbl 07720231 Ramanujan J. 61, No. 4, 1213-1267 (2023). MSC: 11R23 PDF BibTeX XML Cite \textit{S. Kleine} and \textit{K. Müller}, Ramanujan J. 61, No. 4, 1213--1267 (2023; Zbl 07720231) Full Text: DOI arXiv
Hatley, Jeffrey; Kundu, Debanjana \(\lambda\)-invariant stability in families of modular Galois representations. (English) Zbl 07715601 Res. Math. Sci. 10, No. 3, Paper No. 33, 22 p. (2023). MSC: 11R23 11F11 11R18 PDF BibTeX XML Cite \textit{J. Hatley} and \textit{D. Kundu}, Res. Math. Sci. 10, No. 3, Paper No. 33, 22 p. (2023; Zbl 07715601) Full Text: DOI arXiv
Wake, Preston The Eisenstein ideal for weight \(k\) and a Bloch-Kato conjecture for tame families. (English) Zbl 07714624 J. Eur. Math. Soc. (JEMS) 25, No. 7, 2815-2861 (2023). MSC: 11F33 11R23 PDF BibTeX XML Cite \textit{P. Wake}, J. Eur. Math. Soc. (JEMS) 25, No. 7, 2815--2861 (2023; Zbl 07714624) Full Text: DOI arXiv
Kim, Dohyeong An application of Lazard’s theory of \(p\)-adic Lie groups to torsion Selmer pointed sets. (English) Zbl 07713984 Osaka J. Math. 60, No. 3, 701-708 (2023). MSC: 11G30 11R23 17B30 PDF BibTeX XML Cite \textit{D. Kim}, Osaka J. Math. 60, No. 3, 701--708 (2023; Zbl 07713984) Full Text: Link
Ray, Anwesh A note on the distribution of Iwasawa invariants of imaginary quadratic fields. (English) Zbl 1515.11112 Bull. Braz. Math. Soc. (N.S.) 54, No. 3, Paper No. 36, 11 p. (2023). MSC: 11R23 PDF BibTeX XML Cite \textit{A. Ray}, Bull. Braz. Math. Soc. (N.S.) 54, No. 3, Paper No. 36, 11 p. (2023; Zbl 1515.11112) Full Text: DOI arXiv
Panda, Subhasis Elementary module associated to Selmer group of Artin representation. (English) Zbl 07709615 Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 13, 12 p. (2023). MSC: 11R23 11R34 PDF BibTeX XML Cite \textit{S. Panda}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 13, 12 p. (2023; Zbl 07709615) Full Text: DOI
Kleine, Sören; Matar, Ahmed Boundedness of Iwasawa invariants of fine Selmer groups and Selmer groups. (English) Zbl 07709600 Result. Math. 78, No. 4, Paper No. 148, 42 p. (2023). MSC: 11R23 PDF BibTeX XML Cite \textit{S. Kleine} and \textit{A. Matar}, Result. Math. 78, No. 4, Paper No. 148, 42 p. (2023; Zbl 07709600) Full Text: DOI
Collins, Tristan C.; Gukov, Sergei; Picard, Sebastien; Yau, Shing-Tung Special Lagrangian cycles and Calabi-Yau transitions. (English) Zbl 07700894 Commun. Math. Phys. 401, No. 1, 769-802 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53D42 14J42 14J32 32Q25 57R17 81T33 81T30 PDF BibTeX XML Cite \textit{T. C. Collins} et al., Commun. Math. Phys. 401, No. 1, 769--802 (2023; Zbl 07700894) Full Text: DOI arXiv
Ray, Anwesh; Sujatha, R.; Vatsal, Vinayak Iwasawa invariants for symmetric square representations. (English) Zbl 07696878 Res. Math. Sci. 10, No. 3, Paper No. 27, 43 p. (2023). MSC: 11R23 PDF BibTeX XML Cite \textit{A. Ray} et al., Res. Math. Sci. 10, No. 3, Paper No. 27, 43 p. (2023; Zbl 07696878) Full Text: DOI arXiv
Kim, Chan-Ho; Ota, Kazuto On the quantitative variation of congruence ideals and integral periods of modular forms. (English) Zbl 07696873 Res. Math. Sci. 10, No. 2, Paper No. 22, 34 p. (2023). MSC: 11F33 11F67 11R23 PDF BibTeX XML Cite \textit{C.-H. Kim} and \textit{K. Ota}, Res. Math. Sci. 10, No. 2, Paper No. 22, 34 p. (2023; Zbl 07696873) Full Text: DOI arXiv
Stokes, Matt Corrigendum to: “On Gauss factorials and their connection to the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields”. (English) Zbl 07695608 J. Number Theory 251, 1-2 (2023). MSC: 11R23 11R18 11R11 PDF BibTeX XML Cite \textit{M. Stokes}, J. Number Theory 251, 1--2 (2023; Zbl 07695608) Full Text: DOI
Kataoka, Takenori Higher codimension behavior in equivariant Iwasawa theory for CM-fields. (English) Zbl 1511.11090 J. Ramanujan Math. Soc. 38, No. 1, 71-95 (2023). MSC: 11R23 PDF BibTeX XML Cite \textit{T. Kataoka}, J. Ramanujan Math. Soc. 38, No. 1, 71--95 (2023; Zbl 1511.11090) Full Text: arXiv Link
Ochiai, Tadashi Iwasawa theory and its perspective. Volume 1. (English) Zbl 07691267 Mathematical Surveys and Monographs 272. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5672-6/pbk; 978-1-4704-7325-9/ebook). ix, 154 p. (2023). MSC: 11-02 11R23 11R42 11R34 13C05 PDF BibTeX XML Cite \textit{T. Ochiai}, Iwasawa theory and its perspective. Volume 1. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07691267) Full Text: DOI
Kim, Chan-Ho; Longo, Matteo Anticyclotomic main conjecture and the non-triviality of Rankin-Selberg \(L\)-values in Hida families. (English) Zbl 07691014 J. Number Theory 250, 183-205 (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R23 11F33 11F67 PDF BibTeX XML Cite \textit{C.-H. Kim} and \textit{M. Longo}, J. Number Theory 250, 183--205 (2023; Zbl 07691014) Full Text: DOI arXiv
Kundu, Debanjana; Lei, Antonio Growth of \(p\)-parts of ideal class groups and fine Selmer groups in \(\mathbb{Z}_q\)-extensions with \(p \neq q\). (English) Zbl 07690061 Acta Arith. 207, No. 4, 297-313 (2023). MSC: 11R23 11R29 11R20 11J95 PDF BibTeX XML Cite \textit{D. Kundu} and \textit{A. Lei}, Acta Arith. 207, No. 4, 297--313 (2023; Zbl 07690061) Full Text: DOI arXiv
Mouhib, Ali The structure of the unramified abelian Iwasawa module of some number fields. (English) Zbl 07689990 Pac. J. Math. 323, No. 1, 173-184 (2023). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{A. Mouhib}, Pac. J. Math. 323, No. 1, 173--184 (2023; Zbl 07689990) Full Text: DOI
Ota, Kazuto On the rank-part of the Mazur-Tate refined conjecture for higher weight modular forms. (Sur le rang de la conjecture raffinée de Mazur-Tate pour les formes modulaires de poids plus élevé.) (English. French summary) Zbl 1517.11071 Ann. Inst. Fourier 73, No. 3, 1319-1364 (2023). MSC: 11G40 11F11 11R23 PDF BibTeX XML Cite \textit{K. Ota}, Ann. Inst. Fourier 73, No. 3, 1319--1364 (2023; Zbl 1517.11071) Full Text: DOI
Nuccio Mortarino Majno di Capriglio, Filippo A. E.; Ramdorai, Sujatha Residual supersingular Iwasawa theory and signed Iwasawa invariants. (English) Zbl 1517.11139 Rend. Semin. Mat. Univ. Padova 149, 83-129 (2023). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{F. A. E. Nuccio Mortarino Majno di Capriglio} and \textit{S. Ramdorai}, Rend. Semin. Mat. Univ. Padova 149, 83--129 (2023; Zbl 1517.11139) Full Text: DOI arXiv
Disegni, Daniel \(p\)-adic \(L\)-functions via local-global interpolation: the case of \(\mathrm{GL}_2 \times \mathrm{GU}(1)\). (English) Zbl 07686148 Can. J. Math. 75, No. 3, 965-1017 (2023). MSC: 11F67 11G40 11R23 11F33 PDF BibTeX XML Cite \textit{D. Disegni}, Can. J. Math. 75, No. 3, 965--1017 (2023; Zbl 07686148) Full Text: DOI arXiv
Booher, Jeremy; Cais, Bryden Iwasawa theory for \(p\)-torsion class group schemes in characteristic \(p\). (English) Zbl 07681882 Nagoya Math. J. 250, 298-351 (2023). MSC: 11G20 14H40 14G17 11R23 14Q05 11Y40 PDF BibTeX XML Cite \textit{J. Booher} and \textit{B. Cais}, Nagoya Math. J. 250, 298--351 (2023; Zbl 07681882) Full Text: DOI arXiv
Wang, Haining On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights. (English. French summary) Zbl 07680407 Ann. Math. Qué. 47, No. 1, 195-248 (2023). MSC: 11G40 11G18 PDF BibTeX XML Cite \textit{H. Wang}, Ann. Math. Qué. 47, No. 1, 195--248 (2023; Zbl 07680407) Full Text: DOI arXiv
Rockwood, Rob Plus/minus \(p\)-adic \(L\)-functions for \(\mathrm{GL}_{2n}\). (English. French summary) Zbl 07680406 Ann. Math. Qué. 47, No. 1, 177-193 (2023). MSC: 11G40 11F67 11R23 PDF BibTeX XML Cite \textit{R. Rockwood}, Ann. Math. Qué. 47, No. 1, 177--193 (2023; Zbl 07680406) Full Text: DOI arXiv
Kobayashi, Shinichi A \(p\)-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist. I. (English. French summary) Zbl 07680403 Ann. Math. Qué. 47, No. 1, 73-116 (2023). MSC: 11R23 11G40 11F11 11G15 11F67 11F85 PDF BibTeX XML Cite \textit{S. Kobayashi}, Ann. Math. Qué. 47, No. 1, 73--116 (2023; Zbl 07680403) Full Text: DOI
Dimitrov, Mladen; Maksoud, Alexandre \(\mathscr{L}\)-invariants of Artin motives. (English. French summary) Zbl 07680402 Ann. Math. Qué. 47, No. 1, 49-71 (2023). Reviewer: Andreas Nickel (München) MSC: 11R23 11R42 11F80 PDF BibTeX XML Cite \textit{M. Dimitrov} and \textit{A. Maksoud}, Ann. Math. Qué. 47, No. 1, 49--71 (2023; Zbl 07680402) Full Text: DOI arXiv
Chida, Masataka; Hsieh, Ming-Lun The derivative formula of \(p\)-adic \(L\)-functions for imaginary quadratic fields at trivial zeros. (English. French summary) Zbl 07680400 Ann. Math. Qué. 47, No. 1, 1-30 (2023). MSC: 11F33 11R23 PDF BibTeX XML Cite \textit{M. Chida} and \textit{M.-L. Hsieh}, Ann. Math. Qué. 47, No. 1, 1--30 (2023; Zbl 07680400) Full Text: DOI arXiv
Lukyanenko, Anton; Vandehey, Joseph Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics. (English) Zbl 1517.37011 Ergodic Theory Dyn. Syst. 43, No. 5, 1666-1711 (2023). MSC: 37A44 37A25 37D40 11K50 PDF BibTeX XML Cite \textit{A. Lukyanenko} and \textit{J. Vandehey}, Ergodic Theory Dyn. Syst. 43, No. 5, 1666--1711 (2023; Zbl 1517.37011) Full Text: DOI arXiv
Kim, Sey Y. On the Iwasawa invariants of prime cyclotomic fields. (English) Zbl 07674896 Res. Number Theory 9, No. 2, Paper No. 29, 20 p. (2023). MSC: 11R18 11R23 PDF BibTeX XML Cite \textit{S. Y. Kim}, Res. Number Theory 9, No. 2, Paper No. 29, 20 p. (2023; Zbl 07674896) Full Text: DOI
Deo, Shaunak V.; Ray, Anwesh; Sujatha, R. On the \(\mu\) equals zero conjecture for fine Selmer groups in Iwasawa theory. (English) Zbl 07674747 Pure Appl. Math. Q. 19, No. 2, 641-680 (2023). MSC: 11R23 11F11 11F80 11G05 PDF BibTeX XML Cite \textit{S. V. Deo} et al., Pure Appl. Math. Q. 19, No. 2, 641--680 (2023; Zbl 07674747) Full Text: DOI arXiv
Zhao, Luochen Sum expressions for \(p\)-adic Hecke \(L\)-functions of totally real fields. (English) Zbl 07674746 Pure Appl. Math. Q. 19, No. 2, 597-639 (2023). MSC: 11S40 11S80 11Y35 PDF BibTeX XML Cite \textit{L. Zhao}, Pure Appl. Math. Q. 19, No. 2, 597--639 (2023; Zbl 07674746) Full Text: DOI arXiv
Delbourgo, Daniel; Knospe, Heiko On Iwasawa \(\lambda\)-invariants for abelian number fields and random matrix heuristics. (English) Zbl 07673305 Math. Comput. 92, No. 342, 1817-1836 (2023). MSC: 11R23 11R42 11S80 11M41 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{H. Knospe}, Math. Comput. 92, No. 342, 1817--1836 (2023; Zbl 07673305) Full Text: DOI arXiv
Gras, Georges The Chevalley-Herbrand formula and the real abelian main conjecture (new criterion using capitulation of the class group). (English) Zbl 07672967 J. Number Theory 248, 78-119 (2023). MSC: 11R23 11R20 11R29 11Y40 PDF BibTeX XML Cite \textit{G. Gras}, J. Number Theory 248, 78--119 (2023; Zbl 07672967) Full Text: DOI arXiv
Büyükboduk, Kâzım; Sakamoto, Ryotaro \(\mathcal{L}\)-invariants, \(p\)-adic heights, and factorization of \(p\)-adic \(L\)-functions. (English) Zbl 07672843 Int. Math. Res. Not. 2023, No. 4, 2867-2943 (2023). MSC: 11G40 11R23 11F67 11F80 PDF BibTeX XML Cite \textit{K. Büyükboduk} and \textit{R. Sakamoto}, Int. Math. Res. Not. 2023, No. 4, 2867--2943 (2023; Zbl 07672843) Full Text: DOI arXiv
Ray, Anwesh Rational points on algebraic curves in infinite towers of number fields. (English) Zbl 07663061 Ramanujan J. 60, No. 3, 809-824 (2023). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G10 11G30 11R23 14H40 PDF BibTeX XML Cite \textit{A. Ray}, Ramanujan J. 60, No. 3, 809--824 (2023; Zbl 07663061) Full Text: DOI arXiv
Ray, Anwesh; Sujatha, R. Euler characteristics and their congruences for multisigned Selmer groups. (English) Zbl 07658642 Can. J. Math. 75, No. 1, 298-321 (2023). MSC: 11R23 PDF BibTeX XML Cite \textit{A. Ray} and \textit{R. Sujatha}, Can. J. Math. 75, No. 1, 298--321 (2023; Zbl 07658642) Full Text: DOI arXiv
Lei, Antonio; Vallières, Daniel The non-\(\ell\)-part of the number of spanning trees in abelian \(\ell\)-towers of multigraphs. (English) Zbl 07654665 Res. Number Theory 9, No. 1, Paper No. 18, 16 p. (2023). MSC: 11R23 05C25 11R18 11Z05 PDF BibTeX XML Cite \textit{A. Lei} and \textit{D. Vallières}, Res. Number Theory 9, No. 1, Paper No. 18, 16 p. (2023; Zbl 07654665) Full Text: DOI arXiv
Miura, Takashi; Murakami, Kazuaki; Okano, Keiji; Otsuki, Rei On the cyclicity of the unramified Iwasawa modules of the maximal multiple \(\mathbb{Z}_p\)-extensions over imaginary quadratic fields. (English. French summary) Zbl 07654307 J. Théor. Nombres Bordx. 34, No. 3, 881-902 (2023). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 PDF BibTeX XML Cite \textit{T. Miura} et al., J. Théor. Nombres Bordx. 34, No. 3, 881--902 (2023; Zbl 07654307) Full Text: DOI arXiv
Kundu, Debanjana; Lim, Meng Fai Control theorems for fine Selmer groups. (English. French summary) Zbl 07654306 J. Théor. Nombres Bordx. 34, No. 3, 851-880 (2023). MSC: 11R23 PDF BibTeX XML Cite \textit{D. Kundu} and \textit{M. F. Lim}, J. Théor. Nombres Bordx. 34, No. 3, 851--880 (2023; Zbl 07654306) Full Text: DOI
Sakamoto, Ryotaro A higher rank Euler system for \(\mathbb{G}_m\) over a totally real field. (English) Zbl 07653691 Am. J. Math. 145, No. 1, 65-108 (2023). Reviewer: Henri Johnston (Exeter) MSC: 11R23 PDF BibTeX XML Cite \textit{R. Sakamoto}, Am. J. Math. 145, No. 1, 65--108 (2023; Zbl 07653691) Full Text: DOI arXiv
Hatley, Jeffrey; Lei, Antonio The vanishing of anticyclotomic \(\mu\)-invariants for non-ordinary modular forms. (English) Zbl 07652638 C. R., Math., Acad. Sci. Paris 361, 65-72 (2023). MSC: 11R23 11F11 11R20 PDF BibTeX XML Cite \textit{J. Hatley} and \textit{A. Lei}, C. R., Math., Acad. Sci. Paris 361, 65--72 (2023; Zbl 07652638) Full Text: DOI arXiv
Stokes, Matt On Gauss factorials and their connection to the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields. (English) Zbl 07650802 J. Number Theory 246, 279-293 (2023); corrigendum ibid. 251, 1-2 (2023). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11R18 11R11 PDF BibTeX XML Cite \textit{M. Stokes}, J. Number Theory 246, 279--293 (2023; Zbl 07650802) Full Text: DOI arXiv
Lam, Yeuk Hay Joshua; Liu, Yuan; Sharifi, Romyar; Wake, Preston; Wang, Jiuya Generalized Bockstein maps and Massey products. (English) Zbl 07646054 Forum Math. Sigma 11, Paper No. e5, 41 p. (2023). MSC: 20J05 20J06 12G05 11R23 11R34 PDF BibTeX XML Cite \textit{Y. H. J. Lam} et al., Forum Math. Sigma 11, Paper No. e5, 41 p. (2023; Zbl 07646054) Full Text: DOI arXiv
Hatley, Jeffrey; Kundu, Debanjana; Lei, Antonio; Ray, Jishnu Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms. (English) Zbl 07643082 Ramanujan J. 60, No. 1, 237-258 (2023). MSC: 11R23 11F11 11R18 PDF BibTeX XML Cite \textit{J. Hatley} et al., Ramanujan J. 60, No. 1, 237--258 (2023; Zbl 07643082) Full Text: DOI arXiv
Murakami, Kazuaki A weak form of Greenberg’s generalized conjecture for imaginary quadratic fields. (English) Zbl 07641108 J. Number Theory 244, 308-338 (2023). MSC: 11R23 PDF BibTeX XML Cite \textit{K. Murakami}, J. Number Theory 244, 308--338 (2023; Zbl 07641108) Full Text: DOI arXiv
Lei, Antonio Algebraic structure and characteristic ideals of fine Mordell-Weil groups and plus/minus Mordell-Weil groups. (English) Zbl 07630815 Math. Z. 303, No. 1, Paper No. 14, 17 p. (2023). MSC: 11R23 11F11 11R18 PDF BibTeX XML Cite \textit{A. Lei}, Math. Z. 303, No. 1, Paper No. 14, 17 p. (2023; Zbl 07630815) Full Text: DOI arXiv
Lei, Antonio; Ray, Jishnu Iwasawa theory of automorphic representations of \(\mathrm{GL}_{2n}\) at non-ordinary primes. (English) Zbl 1509.11102 Res. Math. Sci. 10, No. 1, Paper No. 1, 25 p. (2023). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11F70 11F80 11F67 PDF BibTeX XML Cite \textit{A. Lei} and \textit{J. Ray}, Res. Math. Sci. 10, No. 1, Paper No. 1, 25 p. (2023; Zbl 1509.11102) Full Text: DOI arXiv
Dasgupta, Samit; Kakde, Mahesh On the Brumer-Stark conjecture. (English) Zbl 07623025 Ann. Math. (2) 197, No. 1, 289-388 (2023). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R29 11R42 PDF BibTeX XML Cite \textit{S. Dasgupta} and \textit{M. Kakde}, Ann. Math. (2) 197, No. 1, 289--388 (2023; Zbl 07623025) Full Text: DOI arXiv
Benois, Denis; Büyükboduk, Kâzım On the exceptional zeros of \(p\)-non-ordinary \(p\)-adic \(L\)-functions and a conjecture of Perrin-Riou. (English) Zbl 1517.11070 Trans. Am. Math. Soc. 376, No. 1, 231-284 (2023). Reviewer: Kazuma Morita (Sapporo) MSC: 11G40 11R23 11F67 11F80 11F33 PDF BibTeX XML Cite \textit{D. Benois} and \textit{K. Büyükboduk}, Trans. Am. Math. Soc. 376, No. 1, 231--284 (2023; Zbl 1517.11070) Full Text: DOI arXiv
Mann, Stephen Faithfulness of generalised Verma modules for Iwasawa algebras. (English) Zbl 07615776 J. Algebra 614, 417-457 (2023). MSC: 17B10 11R23 16S30 20C07 PDF BibTeX XML Cite \textit{S. Mann}, J. Algebra 614, 417--457 (2023; Zbl 07615776) Full Text: DOI arXiv
Mináč, Ján; Schultz, Andrew; Swallow, John Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\). (English) Zbl 1502.12005 J. Number Theory 242, 669-708 (2023). Reviewer: Ivo M. Michailov (Shumen) MSC: 12F12 12F10 12G05 11R23 11R32 16D70 PDF BibTeX XML Cite \textit{J. Mináč} et al., J. Number Theory 242, 669--708 (2023; Zbl 1502.12005) Full Text: DOI arXiv
Assim, J.; Boughadi, Z. On Greenberg’s generalized conjecture. (English) Zbl 07595069 J. Number Theory 242, 576-602 (2023). MSC: 11R23 11R32 11R34 PDF BibTeX XML Cite \textit{J. Assim} and \textit{Z. Boughadi}, J. Number Theory 242, 576--602 (2023; Zbl 07595069) Full Text: DOI arXiv
Koperecz, Julien Triquadratic \(p\)-rational fields. (English) Zbl 1509.11106 J. Number Theory 242, 402-408 (2023). MSC: 11R32 11R29 11R23 PDF BibTeX XML Cite \textit{J. Koperecz}, J. Number Theory 242, 402--408 (2023; Zbl 1509.11106) Full Text: DOI arXiv
Kupferer, Benjamin; Venjakob, Otmar Herr-complexes in the Lubin-Tate setting. (English) Zbl 07738312 Mathematika 68, No. 1, 74-147 (2022). MSC: 11S25 11F85 11R23 14F30 14G20 PDF BibTeX XML Cite \textit{B. Kupferer} and \textit{O. Venjakob}, Mathematika 68, No. 1, 74--147 (2022; Zbl 07738312) Full Text: DOI arXiv
Kuz’min, Leonid V. Arithmetic of certain \(\ell \)-extensions ramified at three places. III. (English. Russian original) Zbl 07733641 Izv. Math. 86, No. 6, 1143-1161 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 6, 123-142 (2022). MSC: 11R23 11R18 PDF BibTeX XML Cite \textit{L. V. Kuz'min}, Izv. Math. 86, No. 6, 1143--1161 (2022; Zbl 07733641); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 6, 123--142 (2022) Full Text: DOI MNR
Ray, Anwesh Asymptotic growth of Mordell-Weil ranks of elliptic curves in noncommutative towers. (English) Zbl 07678771 Can. Math. Bull. 65, No. 4, 1050-1062 (2022). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{A. Ray}, Can. Math. Bull. 65, No. 4, 1050--1062 (2022; Zbl 07678771) Full Text: DOI arXiv
Sumida-Takahashi, Hiroki; Furuya, Naoki; Kitano, Kodai On the \(l\)-part of the class groups of imaginary cyclic fields of conductor \(p\) and degree \(2l^n\). (English) Zbl 1509.11105 J. Math., Tokushima Univ. 56, 1-10 (2022). MSC: 11R29 11R18 11R23 PDF BibTeX XML Cite \textit{H. Sumida-Takahashi} et al., J. Math., Tokushima Univ. 56, 1--10 (2022; Zbl 1509.11105)
Kleine, Sören The vanishing of Iwasawa’s \(\mu\)-invariant implies the weak Leopoldt conjecture. (English) Zbl 1511.11091 Doc. Math. 27, 2275-2299 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{S. Kleine}, Doc. Math. 27, 2275--2299 (2022; Zbl 1511.11091) Full Text: DOI
Kleine, Sören On the Iwasawa invariants of non-cotorsion Selmer groups. (English) Zbl 07661039 Asian J. Math. 26, No. 3, 373-406 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{S. Kleine}, Asian J. Math. 26, No. 3, 373--406 (2022; Zbl 07661039) Full Text: DOI
Jerrari, Idriss; Azizi, Abdelmalek On the structure of the \(2\)-Iwasawa module of some number fields of degree \(16\). (English) Zbl 07655789 Czech. Math. J. 72, No. 4, 1145-1156 (2022). MSC: 11R16 11R18 11R20 11R23 11R29 PDF BibTeX XML Cite \textit{I. Jerrari} and \textit{A. Azizi}, Czech. Math. J. 72, No. 4, 1145--1156 (2022; Zbl 07655789) Full Text: DOI
Bertolini, Massimo; Darmon, Henri; Rotger, Victor; Seveso, Marco Adamo; Venerucci, Rodolfo Heegner points, Stark-Heegner points, and diagonal classes. (English) Zbl 07635225 Astérisque 434. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-959-3/pbk). xviii, 201 p. (2022). MSC: 11-02 11R23 11R34 11G05 11G40 PDF BibTeX XML Cite \textit{M. Bertolini} et al., Heegner points, Stark-Heegner points, and diagonal classes. Paris: Société Mathématique de France (SMF) (2022; Zbl 07635225) Full Text: DOI
Castella, Francesc; Liu, Zheng; Wan, Xin Iwasawa-Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on \(\mathrm{GU}(3, 1)\). (English) Zbl 1504.11118 Forum Math. Sigma 10, Paper No. e110, 90 p. (2022). MSC: 11R23 11F33 11F67 PDF BibTeX XML Cite \textit{F. Castella} et al., Forum Math. Sigma 10, Paper No. e110, 90 p. (2022; Zbl 1504.11118) Full Text: DOI arXiv
Megrelishvili, M.; Shlossberg, M. Minimality of topological matrix groups and Fermat primes. (English) Zbl 07628689 Topology Appl. 322, Article ID 108272, 21 p. (2022). MSC: 20H20 20G25 54H11 11Sxx 11F85 54H13 PDF BibTeX XML Cite \textit{M. Megrelishvili} and \textit{M. Shlossberg}, Topology Appl. 322, Article ID 108272, 21 p. (2022; Zbl 07628689) Full Text: DOI arXiv
Sakamoto, Ryotaro \(p\)-Selmer group and modular symbols. (English) Zbl 07617231 Doc. Math. 27, 1891-1922 (2022). MSC: 11R23 11R34 11G05 11G40 PDF BibTeX XML Cite \textit{R. Sakamoto}, Doc. Math. 27, 1891--1922 (2022; Zbl 07617231) Full Text: DOI arXiv
Ray, Jishnu; Sujatha, R. Selmer groups of elliptic curves over the \(PGL(2)\) extension. (English) Zbl 07617224 Nagoya Math. J. 248, 922-938 (2022). MSC: 11R23 11G05 11R34 PDF BibTeX XML Cite \textit{J. Ray} and \textit{R. Sujatha}, Nagoya Math. J. 248, 922--938 (2022; Zbl 07617224) Full Text: DOI arXiv
Gonet, Sophia R. Iwasawa theory of Jacobians of graphs. (English) Zbl 1503.05056 Algebr. Comb. 5, No. 5, 827-848 (2022). MSC: 05C25 20D60 11R23 PDF BibTeX XML Cite \textit{S. R. Gonet}, Algebr. Comb. 5, No. 5, 827--848 (2022; Zbl 1503.05056) Full Text: DOI arXiv
Jerrari, Idriss; Azizi, Abdelmalek On the 2-class group of some number fields of 2-power degree. (English) Zbl 1507.11098 Turk. J. Math. 46, No. 7, 2545-2555 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R16 11R18 11R20 11R23 11R29 PDF BibTeX XML Cite \textit{I. Jerrari} and \textit{A. Azizi}, Turk. J. Math. 46, No. 7, 2545--2555 (2022; Zbl 1507.11098) Full Text: DOI
Dion, Cedric; Ray, Anwesh Topological Iwasawa invariants and arithmetic statistics. (English) Zbl 07608211 Doc. Math. 27, 1643-1669 (2022). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 57K10 57K14 PDF BibTeX XML Cite \textit{C. Dion} and \textit{A. Ray}, Doc. Math. 27, 1643--1669 (2022; Zbl 07608211) Full Text: DOI arXiv
Kleine, Sören On pseudo-null Iwasawa modules. (English. French summary) Zbl 1498.11220 J. Théor. Nombres Bordx. 34, No. 2, 583-618 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{S. Kleine}, J. Théor. Nombres Bordx. 34, No. 2, 583--618 (2022; Zbl 1498.11220) Full Text: DOI
Namikawa, Kenichi A construction of \(p\)-adic Asai \(L\)-functions for \(\mathrm{GL}_2\) over CM fields. (English) Zbl 1512.11049 Manuscr. Math. 169, No. 3-4, 461-517 (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 11F67 11F75 11R23 PDF BibTeX XML Cite \textit{K. Namikawa}, Manuscr. Math. 169, No. 3--4, 461--517 (2022; Zbl 1512.11049) Full Text: DOI arXiv
Sakamoto, Ryotaro Notes on the module of Euler systems for \(p\)-adic representations. (English) Zbl 07601571 Acta Arith. 205, No. 2, 137-160 (2022). MSC: 11R23 11R34 PDF BibTeX XML Cite \textit{R. Sakamoto}, Acta Arith. 205, No. 2, 137--160 (2022; Zbl 07601571) Full Text: DOI arXiv
Disegni, Daniel The universal \(p\)-adic Gross-Zagier formula. (English) Zbl 1511.11062 Invent. Math. 230, No. 2, 509-649 (2022). Reviewer: Matteo Longo (Padova) MSC: 11G40 11G18 11R23 11F67 11G05 11F80 PDF BibTeX XML Cite \textit{D. Disegni}, Invent. Math. 230, No. 2, 509--649 (2022; Zbl 1511.11062) Full Text: DOI arXiv
Büyükboduk, Kâzim; Lei, Antonio Iwasawa theory for \(\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\). (English. French summary) Zbl 07598386 Ann. Math. Qué. 46, No. 2, 347-418 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11F11 11R20 PDF BibTeX XML Cite \textit{K. Büyükboduk} and \textit{A. Lei}, Ann. Math. Qué. 46, No. 2, 347--418 (2022; Zbl 07598386) Full Text: DOI arXiv
Benois, Denis; Büyükboduk, Kâzım Interpolation of Beilinson-Kato elements and \(p\)-adic \(L\)-functions. (English. French summary) Zbl 07598382 Ann. Math. Qué. 46, No. 2, 231-287 (2022). MSC: 11F11 11F67 11R23 PDF BibTeX XML Cite \textit{D. Benois} and \textit{K. Büyükboduk}, Ann. Math. Qué. 46, No. 2, 231--287 (2022; Zbl 07598382) Full Text: DOI arXiv
Oh, Jangheon On the lower layers of a \(\mathbb{Z}_p\)-extension. (English) Zbl 1506.11144 Korean J. Math. 30, No. 2, 361-362 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{J. Oh}, Korean J. Math. 30, No. 2, 361--362 (2022; Zbl 1506.11144) Full Text: DOI
Mizusawa, Yasushi On metabelian 2-class field towers over \(\mathbb{Z}_2\)-extensions of real quadratic fields. (English) Zbl 1506.11143 Can. Math. Bull. 65, No. 3, 795-805 (2022). MSC: 11R23 11R11 11R32 11R37 PDF BibTeX XML Cite \textit{Y. Mizusawa}, Can. Math. Bull. 65, No. 3, 795--805 (2022; Zbl 1506.11143) Full Text: DOI
Kleine, Sören; Müller, Katharina Fine Selmer groups of congruent \(p\)-adic Galois representations. (English) Zbl 1517.11137 Can. Math. Bull. 65, No. 3, 702-722 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{S. Kleine} and \textit{K. Müller}, Can. Math. Bull. 65, No. 3, 702--722 (2022; Zbl 1517.11137) Full Text: DOI arXiv
Daoud, Alexandre On the structure of the module of Euler systems for a \(p\)-adic representation. (English) Zbl 07577590 New York J. Math. 28, 993-1041 (2022). Reviewer: Andreas Nickel (München) MSC: 11F80 11R23 11R33 PDF BibTeX XML Cite \textit{A. Daoud}, New York J. Math. 28, 993--1041 (2022; Zbl 07577590) Full Text: arXiv Link
Sharifi, Romyar T. Reciprocity maps with restricted ramification. (English) Zbl 07576866 Trans. Am. Math. Soc. 375, No. 8, 5361-5392 (2022). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R34 11R23 11R27 11R29 PDF BibTeX XML Cite \textit{R. T. Sharifi}, Trans. Am. Math. Soc. 375, No. 8, 5361--5392 (2022; Zbl 07576866) Full Text: DOI arXiv
Konomi, Yutaka On the ideal class group on which the alternating group of degree five acts and special values of Artin \(L\)-functions. (English) Zbl 1503.11139 Ramanujan J. 59, No. 1, 87-129 (2022). Reviewer: Francesco Battistoni (Milano) MSC: 11R29 11R42 11R23 20C05 20D06 PDF BibTeX XML Cite \textit{Y. Konomi}, Ramanujan J. 59, No. 1, 87--129 (2022; Zbl 1503.11139) Full Text: DOI
Kataoka, Takenori Fitting ideals in two-variable equivariant Iwasawa theory and an application to CM elliptic curves. (English) Zbl 07574173 Tokyo J. Math. 45, No. 1, 237-261 (2022). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{T. Kataoka}, Tokyo J. Math. 45, No. 1, 237--261 (2022; Zbl 07574173) Full Text: DOI arXiv
Ichimura, Humio; Sumida-Takahashi, Hiroki On the class groups of certain imaginary cyclic fields of 2-power degree. (English) Zbl 1509.11101 J. Math. Soc. Japan 74, No. 3, 945-972 (2022). Reviewer: Lawrence C. Washington (College Park) MSC: 11R18 11R23 11Y40 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{H. Sumida-Takahashi}, J. Math. Soc. Japan 74, No. 3, 945--972 (2022; Zbl 1509.11101) Full Text: DOI
Lim, Meng Fai On the growth of even \(K\)-groups of rings of integers in \(p\)-adic Lie extensions. (English) Zbl 1517.11138 Isr. J. Math. 249, No. 2, 735-767 (2022). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R18 11R34 11R70 PDF BibTeX XML Cite \textit{M. F. Lim}, Isr. J. Math. 249, No. 2, 735--767 (2022; Zbl 1517.11138) Full Text: DOI arXiv
Lei, Antonio; Palvannan, Bharathwaj Codimension two cycles in Iwasawa theory and tensor product of Hida families. (English) Zbl 07570323 Math. Ann. 383, No. 1-2, 39-75 (2022). MSC: 11R23 11F33 11R34 11S25 PDF BibTeX XML Cite \textit{A. Lei} and \textit{B. Palvannan}, Math. Ann. 383, No. 1--2, 39--75 (2022; Zbl 07570323) Full Text: DOI arXiv
Jeon, Daeyeol; Kim, Byoung Du; Kim, Chang Heon Construction of anti-cyclotomic Euler systems of modular abelian varieties, and the ranks of their Mordell-Weil groups. (English) Zbl 07569741 J. Number Theory 238, 396-443 (2022). Reviewer: Yong-Xiong Li (Beijing) MSC: 11G40 11R23 PDF BibTeX XML Cite \textit{D. Jeon} et al., J. Number Theory 238, 396--443 (2022; Zbl 07569741) Full Text: DOI
Jha, Somnath; Mandal, Tathagata; Shekhar, Sudhanshu Multiplicities in Selmer groups and root numbers of Artin twists. (English) Zbl 07569732 J. Number Theory 238, 147-182 (2022). MSC: 11G05 11R23 11G40 11F33 11G07 PDF BibTeX XML Cite \textit{S. Jha} et al., J. Number Theory 238, 147--182 (2022; Zbl 07569732) Full Text: DOI arXiv
Büyükboduk, Kâzım; Sakamoto, Ryotaro On the non-critical exceptional zeros of Katz \(p\)-adic \(L\)-functions for CM fields. (English) Zbl 1504.11071 Adv. Math. 406, Article ID 108478, 54 p. (2022). Reviewer: Lawrence C. Washington (College Park) MSC: 11G16 11R23 11G15 PDF BibTeX XML Cite \textit{K. Büyükboduk} and \textit{R. Sakamoto}, Adv. Math. 406, Article ID 108478, 54 p. (2022; Zbl 1504.11071) Full Text: DOI arXiv
Li, Yong-Xiong Selmer groups of certain abelian varieties with complex multiplication. (English) Zbl 1501.11099 Acta Arith. 203, No. 4, 289-305 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11G05 11G10 PDF BibTeX XML Cite \textit{Y.-X. Li}, Acta Arith. 203, No. 4, 289--305 (2022; Zbl 1501.11099) Full Text: DOI
Lim, Meng Fai On order of vanishing of characteristic elements. (English) Zbl 1515.11054 Forum Math. 34, No. 4, 1051-1080 (2022). MSC: 11G05 11R23 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Forum Math. 34, No. 4, 1051--1080 (2022; Zbl 1515.11054) Full Text: DOI arXiv
Kundu, Debanjana; Ray, Anwesh Iwasawa invariants for elliptic curves over \(\mathbb{Z}_p\)-extensions and Kida’s formula. (English) Zbl 1515.11111 Forum Math. 34, No. 4, 945-967 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{D. Kundu} and \textit{A. Ray}, Forum Math. 34, No. 4, 945--967 (2022; Zbl 1515.11111) Full Text: DOI arXiv