Ratios conjecture for quadratic Hecke \(L\)-functions in the Gaussian field

DOI10.1007/S00605-023-01903-5arXiv2210.08840OpenAlexW4387103277WikidataQ122961933 ScholiaQ122961933MaRDI QIDQ6137881

Liangyi Zhao, Peng Gao

Publication date: 16 January 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.08840

zbMATH Keywords

mean valuesratios conjecturequadratic Hecke \(L\)-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41)

Cites Work

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• Applications of theL-functions ratios conjectures
• The Ratios Conjecture and upper bounds for negative moments of 𝐿-functions over function fields
• First moment of central values of quadratic Hecke L-functions in the Gaussian field

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