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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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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
doaj   +1 more source

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, Antanas Laurinčikas   +1 more
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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, Antanas Laurinčikas   +1 more
doaj   +1 more source

Value-distribution of twisted L-functions of normalized cusp forms

Lietuvos Matematikos Rinkinys, 2010
A limit theorem in the sense of weak convergence of probability measures on the complex plane for twisted with Dirichlet character L-functions of holomorphic normalized Hecke eigen cusp forms with an increasing modulus of the character is proved.
Alesia Kolupayeva
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A transformation formula with primitive character

Lietuvos Matematikos Rinkinys, 2013
We prove a transformation formula for the exponential sum involving the divisor function, and primitive character modulo q. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with
Aidas Balčiūnas
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Mellin Transform of Dirichlet L-Functions with Primitive Character

Mathematical Modelling and Analysis, 2014
In the paper, meromorphic continuation for the modified Mellin transform of Dirichlet L-functions with primitive character is obtained.
Aidas Balčiūnas, Darius Šiaučiūnas
doaj   +1 more source

On the equation F(nᵏ-1) = D [PDF]

Notes on Number Theory and Discrete Mathematics
We prove that if F is a completely multiplicative function and k∈{2,3} such that the equation F(nᵏ-1) = 1 holds for every n∈ℕ, n>1, then F is the identity function.
I. Kátai, B. M. M. Khanh, B. M. Phong
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