Bounds for moments of modular $L$-functions to a fixed modulus

DOI10.4064/aa211124-24-6zbMath1503.11118arXiv2110.10830OpenAlexW3205794248MaRDI QIDQ5041537

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Publication date: 14 October 2022

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

Full work available at URL: https://arxiv.org/abs/2110.10830

zbMATH Keywords

momentsupper boundslower boundsmodular \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Cites Work

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• Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves
• Zeros of principal \(L\)-functions and random matrix theory
• Lower bound for higher moments of the mixed product of twisted \(L\)-functions
• The second moment of twisted modular \(L\)-functions
• Bilinear forms with Kloosterman sums and applications
• On moments of twisted L-functions
• The second moment of Dirichlet twists of Hecke L-functions
• On the Holomorphy of Certain Dirichlet Series
• SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION
• Random matrix theory and \(L\)-functions at \(s=1/2\).
• Lower bounds for moments of zeta and L$L$‐functions revisited

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