n-level densities for twisted cubic Dirichlet L-functions
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DOI: 10.1016/j.jnt.2018.09.019
Abstract: Abstract For any given cuspidal representation π of G L m ( A Q ) , we consider the family of automorphic L-functions L ( s , π × χ ) twisted by cubic Dirichlet… read more here.
Keywords: cubic dirichlet; densities twisted; dirichlet functions; level densities ... See more keywords
The second moment of quadratic Dirichlet L-functions
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DOI: 10.1016/j.jnt.2019.06.011
Abstract: Abstract In this paper, we compute the second moment of primitive quadratic Dirichlet L-functions with weight at the central point. By applying Young's methods ( [11] , [12] ), we obtain an asymptotic formula for… read more here.
Keywords: moment; second moment; dirichlet functions; moment quadratic ... See more keywords
Explicit bounds on exceptional zeroes of Dirichlet L-functions II
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DOI: 10.1016/j.jnt.2019.10.011
Abstract: Abstract This paper improves the upper bound for the exceptional zeroes of Dirichlet L-functions with even characters. The result is obtained by improving on explicit estimate for L ′ ( σ , χ ) for… read more here.
Keywords: exceptional zeroes; explicit bounds; zeroes dirichlet; dirichlet functions ... See more keywords
THE RECIPROCITY LAW FOR THE TWISTED SECOND MOMENT OF DIRICHLET $L$ -FUNCTIONS OVER RATIONAL FUNCTION FIELDS
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DOI: 10.1017/s0004972718000874
Abstract: We prove the reciprocity law for the twisted second moments of Dirichlet $L$ -functions over rational function fields, corresponding to two irreducible polynomials. This formula is the analogue of the formulas for Dirichlet $L$ -functions… read more here.
Keywords: law twisted; reciprocity law; dirichlet functions; twisted second ... See more keywords
The Euler numbers and recursive properties of Dirichlet L-functions
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DOI: 10.1186/s13662-018-1853-y
Abstract: The aim of this paper is using an elementary method and the properties of the Bernoulli polynomials to establish a close relationship between the Euler numbers of the second kind En∗$E_{n}^{*}$ and the Dirichlet L-function… read more here.
Keywords: numbers recursive; properties dirichlet; dirichlet functions; recursive properties ... See more keywords