X Wan - arXiv preprint arXiv:1411.6352, 2014 - arxiv.org
In this paper we prove the $\pm $-main conjecture of Iwasawa theory formulated by Kobayashi for elliptic curves with supersingular reduction at an odd prime $ p $ such that …
ML Hsieh - Journal of the American Mathematical Society, 2014 - ams.org
Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields Page 1 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 27, Number 3, July 2014 …
B Mazur - Bulletin of the American Mathematical Society, 2011 - ams.org
Irregular primes—37 being the first such prime—have played a great role in number theory. This article discusses Ken Ribet's construction—for all irregular primes $ p $—of specific …
Z Liu - Journal of the Institute of Mathematics of Jussieu, 2020 - cambridge.org
We construct the p-adic standard L-functions for ordinary families of Hecke eigensystems of the symplectic group Sp (2n)/Q using the doubling method. We explain a clear and simple …
F Castella, Z Liu, X Wan - Forum of Mathematics, Sigma, 2022 - cambridge.org
In this paper, we prove one divisibility of the Iwasawa–Greenberg main conjecture for the Rankin–Selberg product of a weight two cusp form and an ordinary complex multiplication …
Under relatively mild and natural conditions, we establish integral period relations for the (real or imaginary) quadratic base change of an elliptic cusp form. This answers a conjecture …
A Ray, R Sujatha, V Vatsal - Research in the Mathematical Sciences, 2023 - Springer
Let p≥ 5 be a prime, and pa prime of Q¯ above p. Let g 1 and g 2 be p-ordinary, p- distinguished and p-stabilized cuspidal newforms of nebentype characters ϵ 1, ϵ 2 …
Under relatively mild and natural conditions, we establish an integral period relations for the (real or imaginary) quadratic base change of an elliptic cusp form. This answers a conjecture …
D Disegni - Journal of the London Mathematical Society, 2020 - Wiley Online Library
We study the variation of the local Langlands correspondence for GL n in characteristic‐zero families. We establish an existence and uniqueness theorem for a correspondence in …