Results 1 to 10 of about 37,768 (154)
On a Kind of Dirichlet Character Sums [PDF]
Abstract and Applied Analysis, 2013 Let p≥3 be a prime and let χ denote the Dirichlet character modulo p.
Rong Ma, Yulong Zhang, Guohe Zhang
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Multiple Lucas–Dirichlet Series Associated With Additive and Dirichlet Characters [PDF]
Mediterranean Journal of Mathematics, 2021 20 ...
N. K. Meher, S. S. Rout
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Exceptional characters and nonvanishing of Dirichlet L-functions [PDF]
Mathematische Annalen, 2021 Let $ $ be a real primitive character modulo $D$. If the $L$-function $L(s, )$ has a real zero close to $s=1$, known as a Landau-Siegel zero, then we say the character $ $ is exceptional. Under the hypothesis that such exceptional characters exist, we prove that at least fifty percent of the central values $L(1/2, )$ of the Dirichlet $L$-functions $
Hung M. Bui +2 more
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A Bound for a Sum of Products of Two Characters and Its Application
Mathematics, 2023 Using the exponent pair method, a bound is derived for the sum ∑manb≤xχ1a(m)χ2b(n), where a,b are fixed positive integers, χ1,χ2 are primitive Dirichlet characters modulo q1 and q2, respectively, and χ1a,χ2b are not principal characters.
Teerapat Srichan
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A Certain Mean Square Value Involving Dirichlet L-Functions
Mathematics, 2020 The main purpose of this article is using the elementary methods, the properties of Dirichlet L-functions to study the computational problem of a certain mean square value involving Dirichlet L-functions at positive integer points, and give some exact ...
Wenpeng Zhang, Di Han
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New concentration phenomena for radial sign-changing solutions of fully nonlinear elliptic equations
Bruno Pini Mathematical Analysis Seminar, 2023 We present recent results about radial sign-changing solutions of a class of fully nonlinear elliptic Dirichlet problems posed in a ball, driven by the extremal Pucci's operators and provided with power zero order terms.
Fabiana Leoni
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Limit theorems for twists of L-functions of elliptic curves. II
Mathematical Modelling and Analysis, 2012 In the paper, a limit theorem for the argument of twisted with Dirichlet character L-functions of elliptic curves with an increasing modulus of the character is proved.
Virginija Garbaliauskienė +1 more
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Class number formulas via 2-isogenies of elliptic curves [PDF]
, 2012 A classical result of Dirichlet shows that certain elementary character sums compute class numbers of quadratic imaginary number fields. We obtain analogous relations between class numbers and a weighted character sum associated to a 2-isogeny of ...
McLeman, Cam, Rasmussen, Christopher
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Twisting eigensystems of Drinfeld Hecke eigenforms by characters [PDF]
, 2017 We address some questions posed by Goss related to the modularity of Drinfeld modules of rank 1 defined over the field of rational functions in one variable with coefficients in a finite field.
Perkins, Rudolph
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A Limit Theorem for Twists of L-Functions of Elliptic Curves
Mathematical Modelling and Analysis, 2014 In the paper, a limit theorem for weakly convergent probability measures on the complex plane for twisted with Dirichlet character L-functions of elliptic curves with an increasing modulus of the character is proved.
Virginija Garbaliauskienė +1 more
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