Results 21 to 30 of about 1,790 (152)
Dirichlet 𝐿-functions and primitive characters [PDF]
Proceedings of the American Mathematical Society, 1972 It is well known that a Dirichlet L L -function
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Counting certain quadratic partitions of zero modulo a prime number
Open Mathematics, 2021 Consider an odd prime number p≡2(mod3)p\equiv 2\hspace{0.3em}\left(\mathrm{mod}\hspace{0.3em}3). In this paper, the number of certain type of partitions of zero in Z/pZ{\mathbb{Z}}\hspace{-0.1em}\text{/}\hspace{-0.1em}p{\mathbb{Z}} is calculated using a ...
Xiao Wang, Li Aihua
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On Dirichlet characters of polynomials [PDF]
Acta Arithmetica, 1984 In this paper our objective is to investigate the distribution of \(x\) such that \(\chi(f(x)) \ne 1\), where \(f\) is a fixed polynomial belonging to \(\mathbb Z[x]\) and \(\chi\) is a Dirichlet character of order \(q \bmod p\).
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Upper bound estimate of incomplete Cochrane sum
Open Mathematics, 2017 By using the properties of Kloosterman sum and Dirichlet character, an optimal upper bound estimate of incomplete Cochrane sum is given.
Ma Yuankui, Peng Wen, Zhang Tianping
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A transformation formula related to Dirichlet L-functions with principal character
Lietuvos Matematikos Rinkinys, 2012 We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
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Note on the quadratic Gauss sums
International Journal of Mathematics and Mathematical Sciences, 2001 Let p be an odd prime and {χ(m)=(m/p)}, m=0,1,...,p−1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ modp which are defined in terms of the Legendre symbol (m/p), (m,p)=1. We study the relation between the Gauss and
George Danas
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Frontiers in Microbiology, 2022 Host-associated microbiomes play important roles in host health and pathogen defense. In amphibians, the skin-associated microbiota can contribute to innate immunity with potential implications for disease management.
Kenen B. Goodwin +3 more
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A note on Dirichlet characters [PDF]
Mathematics of Computation, 1973 Denoting by r ( k , m , p
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Murmurations of Dirichlet Characters
International Mathematics Research NoticesAbstract We calculate murmuration densities for two families of Dirichlet characters. The first family contains complex Dirichlet characters normalized by their Gauss sums. Integrating the first density over a geometric interval yields a murmuration function compatible with experimental observations.
Lee, Kyu-Hwan +2 more
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A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves
Mathematical Modelling and Analysis, 2016 We consider a collection of L-functions of elliptic curves twisted by a Dirichlet character modulo q (q is a prime number), and prove for this collection a joint limit theorem for weakly convergent probability measures in the space of analytic functions ...
Virginija Garbaliauskienė +1 more
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