Koecher–Maass series have infinitely many critical zeros

DOI10.1112/BLMS.12846OpenAlexW4367842065MaRDI QIDQ6086870

Karam Deo Shankhadhar, Manish K. Pandey, Jaban Meher

Publication date: 11 December 2023

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

Full work available at URL: https://doi.org/10.1112/blms.12846

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

• On Koecher-Maass series of Siegel modular forms
• Non-linear additive twists of \(\operatorname{GL}(3) \times \operatorname{GL}(2)\) and \(\operatorname{GL}(3)\) Maass forms
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Generalization of Hecke's Correspondence to Siegel Modular Forms
• Zeros of $L$-functions attached to cusp forms of half-integral weight
• Zeros of L-functions attached to modular forms of half-integral weight
• Über Dirichlet-Reihen mit Funktionalgleichung.

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