Sharp upper bounds for moments of quadratic Dirichlet $L$-functions

Abstract

We establish unconditional sharp upper bounds of the $k$-th moments of the family of quadratic Dirichlet $L$-functions at the central point for $0\le k\le 2$.

arXiv comment8 pages

References in corpus (7)

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• Sharp conditional bounds for moments of the Riemann zeta function
• Conjectures for the integral moments and ratios of L-functions over function fields
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Cited by in corpus (3)

• Bounds for moments of quadratic Dirichlet character sums
• Bounds for moments of Dirichlet $L$-functions to a fixed modulus
• Bounds for moments of cubic and quartic Dirichlet $L$-functions