논문KCI 등재
ON SOME EXACT RECIPROCITY FORMULAS FOR TWISTED SECOND MOMENTS OF DIRICHLET L-FUNCTIONS
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초록
We derive the exact reciprocity formula connecting the twist-ed 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.
Abstract
We derive the exact reciprocity formula connecting the twist-ed 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.
참고문헌 (5)
- L. Carlitz, "Some theorems on generalized Dedekind sums", Pacific J. Math, 3, pp.513~522 (1953)
- R. R. Hall, "Reciprocity formulae for general Dedekind- Rademacher sums", Acta Arith, 73(4), pp.389~396 (1995)
- S. Kanemitsu, "On the discrete mean value of the product of two Dirichlet L-functions", Abh. Math. Semin. Univ. Hambg, 79(2), pp.149~164 (2009)
- M. Young, "The reciprocity law for the twisted second moment of Dirichlet L-functions", Forum Mathematicum (2011)[DOI]
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