Mollified moments of cubic Dirichlet \(L\)-functions over the Eisenstein field

DOI10.1016/j.jmaa.2023.128014arXiv2301.10979OpenAlexW4389513996MaRDI QIDQ6146382

Hamza Yesilyurt, Ahmet M. Güloğlu

Publication date: 5 February 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.10979

zbMATH Keywords

cubic Gauss sumsHecke \(L\)-functionsnon-vanishingcubic Dirichlet charactersmollified moments

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Relations with random matrices (11M50)

Cites Work

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• Nonvanishing for cubic L-functions
• One-Level Density and Non-Vanishing for Cubic L-Functions Over the Eisenstein Field
• Integral moments of L-functions
• Kummer's conjecture for cubic Gauss sums

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