On a Conjecture of Shimura Concerning Periods of Hilbert Modular Forms

DOI10.2307/2374957zbMath0841.11024OpenAlexW2005596980WikidataQ123179183 ScholiaQ123179183MaRDI QIDQ4853428

Hiroyuki Yoshida

Publication date: 16 July 1996

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374957

zbMATH Keywords

automorphic formsHecke operatorsperiods of Hilbert modular formsholomorphic Hilbert modular cusp forms

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (9)

Cohomology and \(L\)-values ⋮ WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT -FUNCTIONS ⋮ On a theta correspondence with respect to a quadratic extension ⋮ On the search of genuine $p$-adic modular $L$-functions for $GL(n)$. With a correction to: On $p$-adic $L$-functions of $GL(2)\times{}GL(2)$ over totally real fields ⋮ Derivative at \(s = 1\) of the \(p\)-adic \(L\)-function of the symmetric square of a Hilbert modular form ⋮ On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture ⋮ On the critical values of \(L\)-functions of base change for Hilbert modular forms. II ⋮ Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and a conjecture of Perrin-riou ⋮ On adelic automorphic forms with respect to a quadratic extension

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