A Selberg identity for the Shimura lift

DOI10.1112/BLMS.13151MaRDI QIDQ6647823

Hui Xue

Publication date: 3 December 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

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)

Cites Work

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• Rational decomposition of modular forms
• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• Nonvanishing of the central \(L\)-values with large weight
• On the Shimura lift, après Selberg
• Values of L-series of modular forms at the center of the critical strip
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Modular forms and differential operators
• Shimura lifts of half-integral weight modular forms arising from theta functions
• On modular forms of half integral weight
• Linear independence of even periods of modular forms
• Shimura lifts of certain classes of modular forms of half-integral weight
• Rankin–Cohen brackets of Eisenstein series

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