On the Fourier coefficients of modular forms of half integral weight belonging to Kohnen's spaces and the critical values of zeta functions

DOI10.2748/tmj/1113246384zbMath1093.11030OpenAlexW1984368612MaRDI QIDQ1771518

Hisashi Kojima, Yasushi Tokuno

Publication date: 18 April 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1113246384

zbMATH Keywords

Fourier coefficients of modular formsspecial value of zeta functionModular forms of half integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

Related Items (7)

A \(p\)-adic analytic family of the \(D\)-th Shintani lifting for a Coleman family and congruences between the central \(L\)-values ⋮ On newforms of half-integral weight and Jacobi forms ⋮ On the Kohnen-Zagier Formula in the Case of ‘4 × General Odd’ Level ⋮ \(p\)-adic families of \(\mathfrak{d}\)th Shintani liftings ⋮ Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 \(L\)-series ⋮ Remark on Fourier coefficients of modular forms of half integral weight belonging to Kohnen's spaces. II ⋮ Remark on the dimension of Kohnen's spaces of half-integral weight with square free level

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