On the fundamental periods of automorphic forms of arithmetic type

DOI10.1007/BF01233433zbMath0712.11028OpenAlexW2087918694MaRDI QIDQ923606

Goro Shimura

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143840

zbMATH Keywords

invariantsautomorphic formdivision algebraeigenfunction of the Hecke algebrafundamental periods

Mathematics Subject Classification ID

Hecke-Petersson operators, differential operators (several variables) (11F60) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items

On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\), On the zeta functions of Shimura varieties and periods of Hilbert modular forms, On the positivity of the central critical values of automorphic \(L\)-functions for \(GL(2)\), 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, On the Fundamental Periods of Hilbert Modular Forms, On the Fourier coefficients of Hilbert modular forms of half-integral weight, On adelic automorphic forms with respect to a quadratic extension, A note on a lemma of Shimura

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