Kundu, Debanjana; Washington, Lawrence C. Heuristics for anti-cyclotomic \(\mathbb{Z}_p\)-extensions. (English) Zbl 07962376 Exp. Math. 33, No. 4, 644-662 (2024). MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Ju-Feng On Greenberg-Benois \(\mathcal{L}\)-invariants and Fontaine-Mazur \(\mathcal{L}\)-invariants. (English) Zbl 07960690 Can. Math. Bull. 67, No. 4, 1141-1160 (2024). MSC: 11F80 11R34 11S25 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ray, Anwesh Constructing Galois representations with large Iwasawa \(\lambda\)-invariant. (English. French summary) Zbl 07936994 Ann. Math. Qué. 48, No. 1, 253-268 (2024). MSC: 11F80 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nuccio Mortarino Majno di Capriglio, Filippo Alberto Edoardo; Ochiai, Tadashi; Ray, Jishnu A formal model of Coleman families and applications to Iwasawa invariants. (English. French summary) Zbl 07926284 Ann. Math. Qué. 48, No. 2, 453-475 (2024). MSC: 11F33 11R23 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleine, Sören; Müller, Katharina On the growth of the Jacobians in \(\mathbb{Z}_p^l\)-voltage covers of graphs. (English) Zbl 07921884 Algebr. Comb. 7, No. 4, 1011-1038 (2024). MSC: 11R23 05C25 05C40 05C50 11C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laxmi, H.; Saikia, Anupam \(\mathbb{Z}_2\)-extension of real quadratic fields with \(\mathbb{Z}/2\mathbb{Z}\) as 2-class group at each layer. (English) Zbl 07904949 Ramanujan J. 64, No. 4, 1285-1301 (2024). MSC: 11R29 11R11 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Doyon, Anthony; Lei, Antonio Lambda-invariants of Mazur-Tate elements attached to Ramanujan’s tau function and congruences with Eisenstein series. (English) Zbl 07864518 Res. Number Theory 10, No. 2, Paper No. 53, 18 p. (2024). MSC: 11R23 11S40 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ray, Anwesh Constructing Galois representations with prescribed Iwasawa \(\lambda\)-invariant. (English) Zbl 07844787 Bull. Lond. Math. Soc. 56, No. 5, 1624-1642 (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11F80 11F11 11R18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tange, Ryoto; Ueki, Jun Twisted Iwasawa invariants of knots. (English) Zbl 07836741 Math. Nachr. 297, No. 4, 1519-1534 (2024). Reviewer: Leila Ben Abdelghani (Monastir) MSC: 57K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morishita, Masanori Knots and primes. An introduction to arithmetic topology. 2nd edition. (English) Zbl 1539.57002 Universitext. Singapore: Springer (ISBN 978-981-99-9254-6/pbk; 978-981-99-9255-3/ebook). xv, 259 p. (2024). MSC: 57-02 11-02 57Kxx 11Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Kitayama, Takahiro; Morishita, Masanori; Tange, Ryoto; Terashima, Yuji On adjoint homological Selmer modules for \(\mathrm{SL}_2\)-representations of knot groups. (English) Zbl 1543.57004 Int. Math. Res. Not. 2023, No. 23, 19801-19826 (2023). Reviewer: Michael Heusener (Clermont-Ferrand) MSC: 57K10 57K31 11R23 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kramer-Miller, Joe; Upton, James Newton polygons of sums on curves. II: Variation in \(p\)-adic families. (English) Zbl 1546.11160 Int. Math. Res. Not. 2023, No. 21, 18500-18536 (2023). MSC: 11R23 14F30 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chattopadhyay, Jaitra; Laxmi, H.; Saikia, Anupam Structure of 2-class groups in the \(\mathbb{Z}_2\)-extensions of certain real quadratic fields. (English) Zbl 1540.11153 Res. Number Theory 9, No. 4, Paper No. 74, 14 p. (2023). Reviewer: Henri Johnston (Exeter) MSC: 11R29 11R11 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ray, Anwesh On large Iwasawa \(\lambda\)-invariants of imaginary quadratic function fields. (English) Zbl 1528.11116 Ramanujan J. 62, No. 3, 853-861 (2023). MSC: 11R23 11R58 11R18 11R37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sumida-Takahashi, Hiroki A generalized problem associated to the Kummer-Vandiver conjecture. (English) Zbl 1530.11086 Arnold Math. J. 9, No. 3, 381-391 (2023). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11R18 × Cite Format Result Cite Review PDF Full Text: DOI
Ray, Anwesh On the distribution of Alexander polynomials in certain families of closed braids. (English) Zbl 1530.57008 Eur. J. Math. 9, No. 3, Paper No. 65, 21 p. (2023). Reviewer: Günter Lettl (Graz) MSC: 57K14 57K31 11R23 11R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleine, Sören; Müller, Katharina Fine Selmer groups and ideal class groups. (English) Zbl 1532.11156 Ramanujan J. 61, No. 4, 1213-1267 (2023). Reviewer: Andrea Bandini (Pisa) MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleine, Sören; Matar, Ahmed Boundedness of Iwasawa invariants of fine Selmer groups and Selmer groups. (English) Zbl 1540.11151 Result. Math. 78, No. 4, Paper No. 148, 42 p. (2023). MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
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). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Debapriya; Dutta, Sandipan Invariant projective properties under the action of the Lie group \(\mathrm{SL}(3; \mathbb{R})\) on \(\mathbb{RP}^2\). (English) Zbl 1515.22004 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 93, No. 2, 301-314 (2023). MSC: 22E30 57S20 57S25 51H20 51H30 14R20 × Cite Format Result Cite Review PDF Full Text: DOI
Ochiai, Tadashi Iwasawa theory and its perspective. Volume 1. (English) Zbl 1536.11002 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). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11-02 11R23 11R42 11R34 13C05 × Cite Format Result Cite Review PDF Full Text: DOI
Dimitrov, Mladen; Maksoud, Alexandre \(\mathscr{L}\)-invariants of Artin motives. (English. French summary) Zbl 1530.11085 Ann. Math. Qué. 47, No. 1, 49-71 (2023). Reviewer: Andreas Nickel (München) MSC: 11R23 11R42 11F80 × Cite Format Result Cite Review PDF 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). Reviewer: Diego Sulca (Córdoba) MSC: 11S40 11S80 11Y35 × Cite Format Result Cite Review PDF 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). Reviewer: Raúl Alonso Rodríguez (Santa Barbara) MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hatley, Jeffrey; Lei, Antonio The vanishing of anticyclotomic \(\mu\)-invariants for non-ordinary modular forms. (English) Zbl 1525.11130 C. R., Math., Acad. Sci. Paris 361, 65-72 (2023). MSC: 11R23 11F11 11R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bénard, Léo; Tange, Ryoto; Tran, Anh T.; Ueki, Jun Multiplicity of non-acyclic \(\operatorname{SL}_2\)-representations and L-functions of twisted Whitehead links. arXiv:2303.15941 Preprint, arXiv:2303.15941 [math.GT] (2023). MSC: 57K10 11R23 57K31 11S05 × Cite Format Result Cite Full Text: arXiv OA License
Ray, Anwesh Asymptotic growth of Mordell-Weil ranks of elliptic curves in noncommutative towers. (English) Zbl 1524.11200 Can. Math. Bull. 65, No. 4, 1050-1062 (2022). MSC: 11R23 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleine, Sören On the Iwasawa invariants of non-cotorsion Selmer groups. (English) Zbl 1523.11198 Asian J. Math. 26, No. 3, 373-406 (2022). MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Dion, Cedric; Ray, Anwesh Topological Iwasawa invariants and arithmetic statistics. (English) Zbl 1523.11197 Doc. Math. 27, 1643-1669 (2022). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 57K10 57K14 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Debapriya; Dutta, Sandipan Geometric invariants under the Möbius action of the group \(SL(2;\mathbb{R})\). (English) Zbl 1499.57023 Kragujevac J. Math. 45, No. 6, 925-941 (2021). MSC: 57S20 57S25 51H20 14R20 22F30 54H11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kundu, Debanjana; Ray, Anwesh Statistics for Iwasawa invariants of elliptic curves. (English) Zbl 1484.11206 Trans. Am. Math. Soc. 374, No. 11, 7945-7965 (2021); erratum ibid. 376, No. 8, 6009-6010 (2023). MSC: 11R23 11R45 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oh, Jangheon On the reduction of an Iwasawa module. (English) Zbl 1475.11199 Korean J. Math. 29, No. 2, 267-269 (2021). MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Kleine, Sören On local and global bounds for Iwasawa \(\lambda\)-invariants. (English) Zbl 1469.11422 J. Number Theory 223, 195-228 (2021). MSC: 11R23 11R37 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaoyu Selmer groups of symmetric powers of ordinary modular Galois representations. (English) Zbl 1475.11109 Am. J. Math. 143, No. 1, 125-173 (2021). MSC: 11F80 11R23 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleine, Sören Generalised Iwasawa invariants and the growth of class numbers. (English) Zbl 1475.11198 Forum Math. 33, No. 1, 109-127 (2021). Reviewer: Henri Johnston (Exeter) MSC: 11R23 13C05 × Cite Format Result Cite Review PDF Full Text: DOI
Mizusawa, Yasushi; Yamamoto, Gen Iwasawa invariants and linking numbers of primes. (English) Zbl 1469.11425 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 639-654 (2020). MSC: 11R23 11R18 × Cite Format Result Cite Review PDF Full Text: DOI
Kataoka, Takenori Fitting invariants in equivariant Iwasawa theory. (English) Zbl 1469.11421 Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 413-465 (2020). MSC: 11R23 16E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burns, David On derivatives of \(p\)-adic \(L\)-series at \(s = 0\). (English) Zbl 1492.11148 J. Reine Angew. Math. 762, 53-104 (2020). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11R42 11E95 11F67 × Cite Format Result Cite Review PDF Full Text: DOI Link
Villanueva-Gutiérrez, José-Ibrahim Topological behaviour of logarithmic invariants. (English) Zbl 1446.11196 Aguilar, Marcelo (ed.) et al., Memorias de la Sociedad Matemática Mexicana. Vol. 15. Mexico City: Universidad Nacional Autonóma de México (UNAM); Sociedad Matemática Mexicana. Mem. Soc. Mat. Mex. 15, 55-66 (2019). MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: arXiv
Dion, Cédric; Sprung, Florian Consequences of functional equations for pairs of \(p\)-adic \(L\)-functions. (English) Zbl 1469.11459 Abh. Math. Semin. Univ. Hamb. 89, No. 2, 203-208 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11S40 11R23 11G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Greither, Cornelius; Kleine, Sören The structure of higher-dimensional Iwasawa modules under a far-fetched assumption. (English) Zbl 1467.11102 Arch. Math. 113, No. 6, 593-601 (2019). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Hatley, Jeffrey; Lei, Antonio Comparing anticyclotomic Selmer groups of positive co-ranks for congruent modular forms. (English) Zbl 1471.11266 Math. Res. Lett. 26, No. 4, 1115-1144 (2019). MSC: 11R23 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleine, Sören Local behaviour of generalised Iwasawa invariants. (English. French summary) Zbl 1470.11281 Ann. Math. Qué. 43, No. 2, 305-339 (2019). MSC: 11R23 13C05 × Cite Format Result Cite Review PDF Full Text: DOI
Bellaïche, Joël; Pollack, Robert Congruences with Eisenstein series and \(\mu\)-invariants. (English) Zbl 1460.11128 Compos. Math. 155, No. 5, 863-901 (2019). Reviewer: Andreas Nickel (Essen) MSC: 11R23 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleine, Sören \(T\)-ranks of Iwasawa modules. (English) Zbl 1467.11103 J. Number Theory 196, 61-86 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R23 11R34 11R27 11Y40 × Cite Format Result Cite Review PDF Full Text: DOI
Takai, Yuuki Indivisibility of relative class numbers of totally imaginary quadratic extensions and vanishing of these relative Iwasawa invariants. (English) Zbl 1442.11148 J. Number Theory 186, 162-179 (2018). MSC: 11R23 11R29 11F33 11F37 11F41 × Cite Format Result Cite Review PDF Full Text: DOI
Nguyen Quang Do, Thong Genus formulas and Greenberg’s conjecture. (Formules de genres et conjecture de Greenberg.) (French. English summary) Zbl 1423.11188 Ann. Math. Qué. 42, No. 2, 267-280 (2018). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Kitayama, Takahiro; Morishita, Masanori; Tange, Ryoto; Terashima, Yuji On certain \(L\)-functions for deformations of knot group representations. (English) Zbl 1409.57009 Trans. Am. Math. Soc. 370, No. 5, 3171-3195 (2018). Reviewer: Stefan Friedl (Regensburg) MSC: 57M25 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsuji, Takae On the Iwasawa \(\lambda\)-invariants of cyclotomic \({\mathbb Z}_2\)-extensions of real abelian fields. (English) Zbl 1415.11156 RIMS Kôkyûroku Bessatsu B64, 67-76 (2017). MSC: 11R23 × Cite Format Result Cite Review PDF
Castella, Francesc; Kim, Chan-Ho; Longo, Matteo Variation of anticyclotomic Iwasawa invariants in Hida families. (English) Zbl 1404.11126 Algebra Number Theory 11, No. 10, 2339-2368 (2017). Reviewer: Andreas Nickel (Essen) MSC: 11R23 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burungale, Ashay; Hida, Haruzo \(\mathfrak p\)-rigidity and Iwasawa \(\mu\)-invariants. (English) Zbl 1405.11083 Algebra Number Theory 11, No. 8, 1921-1951 (2017). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11G18 19F27 11R23 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ueki, Jun On the Iwasawa invariants for links and Kida’s formula. (English) Zbl 1375.57004 Int. J. Math. 28, No. 6, Article ID 1750035, 30 p. (2017). Reviewer: Thomas B. Ward (Leeds) MSC: 57M12 57M25 57M27 57M60 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hart, William; Harvey, David; Ong, Wilson Irregular primes to two billion. (English) Zbl 1376.11071 Math. Comput. 86, No. 308, 3031-3049 (2017). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11R18 11Y40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahmed, Suman; Aribam, Chandrakant; Shekhar, Sudhanshu Root numbers and parity of local Iwasawa invariants. (English) Zbl 1428.11105 J. Number Theory 177, 285-306 (2017). MSC: 11G05 11G07 11R23 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kleine, Sören Local behavior of Iwasawa’s invariants. (English) Zbl 1371.11143 Int. J. Number Theory 13, No. 4, 1013-1036 (2017). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Kataoka, Takenori A consequence of Greenberg’s generalized conjecture on Iwasawa invariants of \(\mathbb{Z}_p\)-extensions. (English) Zbl 1356.11080 J. Number Theory 172, 200-233 (2017). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oh, Jangheon Computation of \(\lambda \)-invariant. (English) Zbl 1432.11163 Korean J. Math. 24, No. 3, 331-334 (2016). MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Dummit, Evan P.; Hablicsek, Márton; Harron, Robert; Jain, Lalit; Pollack, Robert; Ross, Daniel Explicit computations of Hida families via overconvergent modular symbols. (English) Zbl 1417.11055 Res. Number Theory 2, Paper No. 25, 54 p. (2016). MSC: 11F33 11R23 11F67 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosso, Giovanni \(\mathcal L\)-invariant for Siegel-Hilbert forms. (English) Zbl 1376.11073 Doc. Math. 20, 1227-1253 (2015). MSC: 11R23 11F80 11F46 11F70 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Delbourgo, Daniel; Qin, Chao On \(\lambda\)-invariants attached to cyclic cubic number fields. (English) Zbl 1397.11150 LMS J. Comput. Math. 18, 684-698 (2015). MSC: 11R23 11M41 11R60 11R42 × Cite Format Result Cite Review PDF Full Text: DOI
Bhargava, Manjul; Shankar, Arul Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0. (English) Zbl 1317.11038 Ann. Math. (2) 181, No. 2, 587-621 (2015). Reviewer: Michael Th. Rassias (Princeton) MSC: 11E76 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schettler, Jordan Using continued fractions to compute Iwasawa lambda invariants of imaginary quadratic number fields. (English) Zbl 1423.11189 J. Numbers 2014, Article ID 803649, 10 p. (2014). MSC: 11R23 11A55 11R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iwasawa, Kenkichi Satake, Ichiro (ed.); Fujisaki, Genjiro (ed.); Kato, Kazuya (ed.); Kurihara, Masato (ed.); Nakajima, Shoichi (ed.) Collected papers. Vol. I and II. Edited by Ichiro Satake, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara and Shoichi Nakajima. Reprint of the 2001 hardback edition. (English, German) Zbl 1347.01019 Springer Collected Works in Mathematics. Tokyo: Springer (ISBN 978-4-431-55055-6/pbk). xxv, 872 p. (2014). MSC: 01A75 11-03 11R23 × Cite Format Result Cite Review PDF
Hsieh, Ming-Lun Iwasawa \(\mu\)-invariants of \(p\)-adic Hecke \(L\)-functions. (English) Zbl 1361.11067 Bouganis, Thanasis (ed.) et al., Iwasawa theory 2012. State of the art and recent advances. Selected papers based on the presentations at the conference, Heidelberg, Germany, July 30 – August 3, 2012. Berlin: Springer (ISBN 978-3-642-55244-1/hbk; 978-3-642-55245-8/ebook). Contributions in Mathematical and Computational Sciences 7, 247-263 (2014). MSC: 11R23 11M38 11-02 × Cite Format Result Cite Review PDF Full Text: DOI
Arias-Marco, Teresa; Druetta, Maria J. D’Atri spaces of type \(k\) and related classes of geometries concerning Jacobi operators. (English) Zbl 1303.53045 J. Geom. Anal. 24, No. 2, 721-739 (2014). MSC: 53C20 53C25 53C35 22E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nickel, Andreas A conductor formula for completed group algebras. (English) Zbl 1306.16010 Doc. Math. 19, 601-627 (2014). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 16H10 16H20 11R23 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Schettler, Jordan An alternative approach to Kida and Ferrero’s computations of Iwasawa \(\lambda\)-invariants. (English) Zbl 1296.11139 J. Number Theory 138, 84-96 (2014). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R23 11R18 11R29 11R34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takai, Yuuki On indivisibility of relative class numbers of totally imaginary quadratic extensions and these relative Iwasawa invariants. (English) Zbl 1286.11067 Proc. Japan Acad., Ser. A 90, No. 2, 33-36 (2014). MSC: 11F33 11F37 11F41 11R23 11R29 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Jaulent, Jean-François; Maire, Christian; Perbet, Guillaume On asymptotic formulas on \(\mathbb Z_\ell\)-extensions. (Sur les formules asymptotiques le long des \(\mathbb Z_\ell\)-extensions.) (French. English summary) Zbl 1360.11113 Ann. Math. Qué. 37, No. 1, 63-78 (2013). MSC: 11R23 11R37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kolster, Manfred; Movahhedi, Abbas On \(\lambda-\)invariants of number fields and étale cohomology. (English) Zbl 1348.11085 J. \(K\)-Theory 12, No. 1, 167-181 (2013). Reviewer: Hourong Qin (Nanjing) MSC: 11R23 11R34 19F27 × Cite Format Result Cite Review PDF Full Text: DOI
Ito, Akiko Existence of an infinite family of pairs of quadratic fields \(\mathbb{Q}(\sqrt{m_1D})\) and \(\mathbb{Q}(\sqrt{m_2D})\) whose class numbers are both divisible by 3 or both indivisible by 3. (English) Zbl 1273.11158 Funct. Approximatio, Comment. Math. 49, No. 1, 111-135 (2013). MSC: 11R29 11R11 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Kadokami, Teruhisa; Mizusawa, Yasushi On the Iwasawa invariants of a link in the 3-sphere. (English) Zbl 1304.57017 Kyushu J. Math. 67, No. 1, 215-226 (2013). Reviewer: Matilde Lalin (Montreal) MSC: 57M25 11R23 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barman, Rupam Another look at Iwasawa \(\lambda\)-invariants of \(p\)-adic measures on \(\mathbb Z_p^n\) and \(\Gamma\)-transforms. (English) Zbl 1276.11172 Int. J. Number Theory 9, No. 5, 1289-1299 (2013). Reviewer: Wei Feng (Beijing) MSC: 11R23 11S80 11F85 × Cite Format Result Cite Review PDF Full Text: DOI
Fujii, Satoshi On a bound of \(\lambda\) and the vanishing of \(\mu\) of \(\mathbb{Z}_p\)-extensions of an imaginary quadratic field. (English) Zbl 1275.11141 J. Math. Soc. Japan 65, No. 1, 277-298 (2013). Reviewer: Andrea Bandini (Parma) MSC: 11R23 11R18 11R11 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Barth, Peter Iwasawa theory for one-parameter families of motives. (English) Zbl 1271.11098 Int. J. Number Theory 9, No. 2, 257-320 (2013). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 × Cite Format Result Cite Review PDF Full Text: DOI Link
Komatsu, Keiichi; Fukuda, Takashi; Morisawa, Takayuki Iwasawa invariants of real abelian numbers fields with prime power conductors. (Japanese. English summary) Zbl 1268.11149 RIMS Kôkyûroku Bessatsu B32, 105-124 (2012). MSC: 11R23 11R20 11Y40 × Cite Format Result Cite Review PDF
Ito, Akiko On the 3-divisibility of class numbers of certain quadratic fields. (English) Zbl 1273.11157 RIMS Kôkyûroku Bessatsu B32, 43-50 (2012). MSC: 11R29 11R11 × Cite Format Result Cite Review PDF
Harron, Robert On Greenberg’s \(l\)-invariant of the symmetric sixth power of an ordinary cusp form. (English) Zbl 1284.11145 Compos. Math. 148, No. 4, 1033-1050 (2012). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11F80 11R34 11F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fukuda, Takashi; Komatsu, Keiichi; Morisawa, Takayuki On \(\lambda\)-invariants of \(\mathbb{Z}_\ell\)-extensions over real abelian number fields of prime power conductors. (English) Zbl 1270.11108 Funct. Approximatio, Comment. Math. 47, No. 1, 95-104 (2012). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R23 11Y40 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Barman, Rupam; Saikia, Anupam Iwasawa \(\lambda \)-invariants of \(p\)-adic measures on \(\mathbb Z^n_p\) and their \(\varGamma \)-transforms. (English) Zbl 1276.11195 J. Number Theory 132, No. 10, 2258-2266 (2012). MSC: 11S80 11R23 11F85 × Cite Format Result Cite Review PDF Full Text: DOI
Kuz’min, L. V. The feeble conjecture on the 2-adic regulator for some 2-extensions. (English. Russian original) Zbl 1278.11101 Izv. Math. 76, No. 2, 346-355 (2012); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 76, No. 2, 141-150 (2012). MSC: 11R23 11R18 × Cite Format Result Cite Review PDF Full Text: DOI
Viguié, Stéphane Global units modulo elliptic units and ideal class groups. (English) Zbl 1268.11083 Int. J. Number Theory 8, No. 3, 569-588 (2012). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11G16 11R23 11R65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morishita, Masanori Knots and primes. An introduction to arithmetic topology. Based on the Japanese original (Springer, 2009). (English) Zbl 1267.57001 Universitext. Berlin: Springer (ISBN 978-1-4471-2157-2/pbk; 978-1-4471-2158-9/ebook). xii, 191 p. (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 57-02 11-02 57M25 11Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Barth, Peter Iwasawa theory for one-parameter families of motives. (English) Zbl 1298.11103 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). v, 77 p. (2011). MSC: 11R23 14F42 11-02 × Cite Format Result Cite Review PDF Full Text: Link
Perbet, Guillaume On Iwasawa invariants in \(p\)-adic Lie extensions. (Sur les invariants d’Iwasawa dans les extensions de Lie \(p\)-adiques.) (French. English summary) Zbl 1275.11142 Algebra Number Theory 5, No. 6, 819-848 (2011). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R29 × Cite Format Result Cite Review PDF Full Text: DOI Link
Greenberg, Ralph Selmer groups and congruences. (English) Zbl 1273.11091 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 231-248 (2011). Reviewer: Andrea Bandini (Parma) MSC: 11G05 11R23 11G40 11R34 × Cite Format Result Cite Review PDF
Pollack, Robert; Weston, Tom On anticyclotomic \(\mu\)-invariants of modular forms. (English) Zbl 1259.11101 Compos. Math. 147, No. 5, 1353-1381 (2011). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ellenberg, Jordan S.; Jain, Sonal; Venkatesh, Akshay Modeling \(\lambda \)-invariants by \(p\)-adic random matrices. (English) Zbl 1231.11127 Commun. Pure Appl. Math. 64, No. 9, 1243-1262 (2011). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 15B52 11R42 × Cite Format Result Cite Review PDF Full Text: DOI
Greenberg, Ralph Iwasawa theory, projective modules, and modular representations. (English) Zbl 1247.11085 Mem. Am. Math. Soc. 992, v, 185 p. (2011). Reviewer: Andreas Nickel (Bielefeld) MSC: 11G05 11R23 11-02 20C20 × Cite Format Result Cite Review PDF Full Text: DOI
Agboola, A. On Rubin’s variant of the \(p\)-adic Birch and Swinnerton-Dyer conjecture. II. (English) Zbl 1229.11094 Math. Ann. 349, No. 4, 807-837 (2011). Reviewer: Gabriel D. Villa-Salvador (México City) MSC: 11G40 11G05 11R23 11G16 11R27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pollack, Robert; Weston, Tom Mazur-Tate elements of nonordinary modular forms. (English) Zbl 1259.11100 Duke Math. J. 156, No. 3, 349-385 (2011). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barman, Rupam; Saikia, Anupam Iwasawa \(\lambda\)-invariants and \(\Gamma\)-transforms of \(p\)-adic measures on \(\mathbb Z^n_p\). (English) Zbl 1221.11133 Int. J. Number Theory 6, No. 8, 1819-1829 (2010). Reviewer: Yoshinori Yamasaki (Matsuyama) MSC: 11S80 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Barman, Rupam; Saikia, Anupam Coefficients of a \(p\)-adic measure on \(\mathbb Z^n_p\) and Iwasawa \(\lambda\)-invariant of its \(\Gamma \)-transform. (English) Zbl 1206.11072 Asian-Eur. J. Math. 3, No. 4, 545-554 (2010). MSC: 11S80 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Barman, Rupam; Saikia, Anupam A note on Iwasawa \(\mu\)-invariants of elliptic curves. (English) Zbl 1244.11060 Bull. Braz. Math. Soc. (N.S.) 41, No. 3, 399-407 (2010). Reviewer: Byoung Du Kim (Wellington) MSC: 11G05 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Metsänkylä, Tauno On the behaviour of \(p\)-adic \(L\)-functions. (English) Zbl 1233.11112 J. Number Theory 130, No. 3, 727-737 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11R23 11S40 11B68 × Cite Format Result Cite Review PDF Full Text: DOI