Shifted moments of quadratic Dirichlet $L$-functions

Abstract

We establish sharp upper bounds for shifted moments of quadratic Dirichlet $L$-function under the generalized Riemann hypothesis. Our result is then used to prove bounds for moments of quadratic Dirichlet character sums.

arXiv comment19 pages

References in corpus (5)

• The second moment of quadratic twists of modular $L$-functions
• Pretentious multiplicative functions and the prime number theorem for arithmetic progressions
• Shifted moments of L functions and moments of theta functions
• Shifted moments of the Riemann zeta function
• Bounds for moments of quadratic Dirichlet character sums