On pairs of \(p\)-adic \(L\)-functions for weight-two modular forms

DOI10.2140/ant.2017.11.885zbMath1416.11110arXiv1601.00010OpenAlexW3099514983MaRDI QIDQ2360117

Yanyan Li

Publication date: 26 June 2017

Published in: Algebra \ Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00010

zbMATH Keywords

modular formIwasawa theoryelliptic curve\(p\)-adic \(L\)-functionBirch and Swinnerton-DyerŠafarevič-Tate group

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items (10)

Mordell–Weil ranks and Tate–Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions ⋮ Functional equations for multi-signed Selmer groups ⋮ Congruences of two-variable \(p\)-adic \(L\)-functions of congruent modular forms of different weights ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes ⋮ A formulation of \(p\)-adic versions of the Birch and Swinnerton-Dyer conjectures in the supersingular case ⋮ Consequences of functional equations for pairs of \(p\)-adic \(L\)-functions ⋮ On the algebraic functional equation for the mixed signed Selmer group over multiple $\mathbb {Z}_{p}$-extensions ⋮ Equivariant Iwasawa theory for elliptic curves ⋮ Chromatic Selmer groups and arithmetic invariants of elliptic curves ⋮ On fine Selmer groups and the greatest common divisor of signed and chromatic 𝑝-adic 𝐿-functions

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