Results 11 to 20 of about 1,790 (152)

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
doaj   +1 more source

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
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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 generalization of Menon’s identity with Dirichlet characters [PDF]

International Journal of Number Theory, 2018
The classical Menon’s identity [P. K. Menon, On the sum [Formula: see text], J. Indian Math. Soc.[Formula: see text]N.S.[Formula: see text] 29 (1965) 155–163] states that [Formula: see text] where for a positive integer [Formula: see text], [Formula: see text] is the group of units of the ring [Formula: see text], [Formula: see text] represents the ...
Li, Yan, Hu, Xiaoyu, Kim, Daeyeoul
openaire   +2 more sources

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
doaj   +1 more source

Dirichlet characters of the rational polynomials

AIMS Mathematics, 2022
<abstract><p>Denote by $ \chi $ a Dirichlet character modulo $ q\geq 3 $, and $ \overline{a} $ means $ a\cdot\overline{a} \equiv 1 \bmod q $. In this paper, we study Dirichlet characters of the rational polynomials in the form</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \sum\limits ...
Wenjia Guo, Xiaoge Liu, Tianping Zhang
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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

Taxi Hot Area Function Discovery Based on Passenger Data [PDF]

Jisuanji gongcheng, 2017
According to the passenger movement pattern and the hot pick-up and drop-off areas extracted from taxi driving passenger data,this paper proposes a functions discovery method of taxi hot areas.Firstly,it uses taxi driving data clustering algorithm based ...
SUN Guandong,ZHANG Bing,LIU Yuqian,XIONG Yun
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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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