On Waldspurger's theorem

DOI10.4064/aa-49-2-205-212zbMath0634.10022OpenAlexW974161647MaRDI QIDQ5903520

Henryk Iwaniec

Publication date: 1987

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206080

zbMATH Keywords

Poincaré seriesKloosterman sumsautomorphic L-functionsShimura liftinglinear combinations of values of L-functionsShimura- lifted formssquares of Fourier coefficients of cusp forms

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (7)

The Katok-Sarnak formula for higher weights ⋮ A Bessel identity for the theta correspondence ⋮ Nonvanishing and central critical values of twisted \(L\)-functions of cusp forms on average ⋮ On a theorem of Waldspurger and on Eisenstein series of Klingen type ⋮ On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields ⋮ Germs of Kloosterman Integrals for $GL(3)$ ⋮ A trace formula for symmetric spaces

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