ON THE QUATERNIONIC p-ADIC L-FUNCTIONS ASSOCIATED TO HILBERT MODULAR EIGENFORMS

DOI10.1142/S1793042112500601zbMath1253.11088arXiv1112.3821MaRDI QIDQ2890253

Jeanine Van Order

Publication date: 8 June 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3821

zbMATH Keywords

abelian varietiesIwasawa theoryHilbert modular formsquaternion algebras\(p\)-adic \(L\)-functions\(p\)-invariant

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Zeta and (L)-functions in characteristic (p) (11M38)

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Special values of anticyclotomic \(L\)-functions for modular forms ⋮ Height one specializations of Selmer groups ⋮ Some remarks on the two-variable Main Conjecture of Iwasawa theory for elliptic curves without complex multiplication ⋮ The -adic Gross–Zagier formula on Shimura curves ⋮ \(p\)-adic interpolation of automorphic periods for GL\(_2\) ⋮ Exceptional zero formulae for anticyclotomic \(p\)-adic \(L\)-functions of elliptic curves in the ramified case ⋮ Erratum: On the quaternionic p-adic L-functions associated to Hilbert modular eigenforms ⋮ Anticyclotomic 𝑝-adic 𝐿-functions and the exceptional zero phenomenon

Cites Work

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