The second and fourth moments of theta functions at their central point

DOI10.1016/j.jnt.2012.09.016zbMath1308.11080OpenAlexW2081126367MaRDI QIDQ1938559

Marc Munsch, Stéphane R. Louboutin

Publication date: 21 February 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.09.016

zbMATH Keywords

theta functionsmean valuesDirichlet characters

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Estimates on character sums (11L40)

Related Items (4)

SHIFTED MOMENTS OF ‐FUNCTIONS AND MOMENTS OF THETA FUNCTIONS ⋮ A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions ⋮ Non-vanishing theta values of characters with special prime conductors ⋮ Small Gál sums and applications

Cites Work

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• Sur le calcul numérique des constantes des équations fonctionnelles des fonctions L associées aux caractères impairs
• Lower bounds for moments of L -functions
• Non-vanishing of \(L\)-functions and applications

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