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ON SOME EXACT RECIPROCITY FORMULAS FOR TWISTED SECOND MOMENTS OF DIRICHLET L-FUNCTIONS
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 Title & Authors
ON SOME EXACT RECIPROCITY FORMULAS FOR TWISTED SECOND MOMENTS OF DIRICHLET L-FUNCTIONS
Djankovic, Goran;
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 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;
 Language
English
 Cited by
 References
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R. R. Hall, J. Wilson, and D. Zagier, Reciprocity formulae for general Dedekind- Rademacher sums, Acta Arith. 73 (1995), no. 4, 389-396.

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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. crossref(new window)

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M. Young, The reciprocity law for the twisted second moment of Dirichlet L-functions, Forum Mathematicum, to appear, DOI: 10.1515/FORM.2011.053.