Bull. Korean Math. Soc. 2012; 49(5): 1007-1014
Printed September 30, 2012
https://doi.org/10.4134/BKMS.2012.49.5.1007
Copyright © The Korean Mathematical Society.
Goran Djankovi{\' c}
University of Belgrade
We derive the exact reciprocity formula connecting the twisted second moments at 1 for families of odd Dirichlet characters corresponding to two prime moduli, which parallels such formula discovered earlier for the special point $1/2$.
Keywords: Dirichlet $L$-functions, special values, twisted moments, Bernoulli polynomials, Dedekind sums
MSC numbers: 11M06, 11B68, 11F20
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