The Ratios Conjecture and upper bounds for negative moments of 𝐿-functions over function fields

DOI10.1090/tran/8907zbMath1526.11046arXiv2109.10396OpenAlexW4324351328WikidataQ122930387 ScholiaQ122930387MaRDI QIDQ6042070

Alexandra Florea, Jonathan P. Keating, Hung Manh Bui

Publication date: 16 May 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10396

zbMATH Keywords

function fieldsupper bound\(L\)-functionsnegative momentRatios Conjecturequadratic characters

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Finite fields and commutative rings (number-theoretic aspects) (11T99) Zeta and (L)-functions in characteristic (p) (11M38) Relations with random matrices (11M50) Zeta functions and (L)-functions of function fields (11R59)

Related Items (2)

Ratios conjecture for quadratic Hecke \(L\)-functions in the Gaussian field ⋮ Negative moments of the Riemann zeta-function

Cites Work

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