The mean-square of Dirichlet L-functions

By J. Brian Conrey. 2007

46 citations recorded by the source corpus.

We verify the conjecture of [CFKRS] for the mean square near the critical point of Dirichlet L-functions for a composite modulus q. We also prove a kind of reciprocity formula when the second moment for a prime modulus is twisted by a character evaluated at a different prime.

View Paper: https://www.semanticscholar.org/paper/50392522b7d074697c1054416aae16c9d6fa9fcd

Citations in the corpus

• Twisted moments of L-functions and spectral reciprocity (2017, unknown): “) |L(1/2,χ)|2χ(q). 1More general Eisenstein series could be treated in the same way, but we do not have applications in this case. 4 VALENTIN BLOMER AND RIZWANUR KHAN This was first observed by Conrey [Co], and extended by Young [Yo] and Bettin [Be]. It would be very interesting to investigate if the”