On average theta functions of certain quadratic forms as sums of Eisenstein series

DOI10.1515/math-2023-0126OpenAlexW4387101839MaRDI QIDQ6083288

Ick Sun Eum

Publication date: 31 October 2023

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2023-0126

zbMATH Keywords

Eisenstein seriesAtkin-Lehner involutionaverage theta function

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

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• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series
• Explicit calculations with Eisenstein series
• Sur la formule de Siegel dans la théorie des groupes classiques
• Indefinite quadratische Formen und Funktionentheorie. I
• Indefinite quadratische Formen und Funktionentheorie. II
• Modular Forms

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