[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2012.49.5.1007

ON SOME EXACT RECIPROCITY FORMULAS FOR TWISTED SECOND MOMENTS OF DIRICHLET L-FUNCTIONS

Djankovic, Goran (Faculty of Mathematics University of Belgrade)

Publication Information

Bulletin of the Korean Mathematical Society / v.49, no.5, 2012 , pp. 1007-1014 More about this Journal

Abstract

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;

Citations & Related Records

Reference

1	J. B. Conrey, The mean-square of Dirichlet L-functions, arXiv:0708.2699v1.
2	R. R. Hall, J. Wilson, and D. Zagier, Reciprocity formulae for general Dedekind- Rademacher sums, Acta Arith. 73 (1995), no. 4, 389-396. DOI
3	S. Kanemitsu, J. Ma, and W. Zhang, On the discrete mean value of the product of two Dirichlet L-functions, Abh. Math. Semin. Univ. Hambg. 79 (2009), no. 2, 149-164. DOI
4	M. Young, The reciprocity law for the twisted second moment of Dirichlet L-functions, Forum Mathematicum, to appear, DOI: 10.1515/FORM.2011.053.
5	L. Carlitz, Some theorems on generalized Dedekind sums, Pacic J. Math. 3 (1953), 513-522. DOI