Results 151 to 160 of about 2,222 (176)

The pair correlation of zeros of DirichletL-functions and primes in arithmetic progressions [PDF]

Manuscripta Mathematica, 1991
We define a function which correlates the zeros of two Dirichlet L-functions to the modulus q and we prove an asymptotic estimate for averages of the pair correlation functions over all pairs of characters to (mod q).
Yildirim, C.Y.
exaly   +3 more sources

Summation formulae of multiplicative functions over arithmetic progressions and applications

Canadian Journal of Mathematics - Journal Canadien de Mathematiques
In this paper, we investigate the asymptotic distribution of a class of multiplicative functions over arithmetic progressions without the Ramanujan conjecture.
Yujiao Jiang, Guangshi Lü
semanticscholar   +1 more source

Multiplicative Arithmetic Functions of Several Variables: A Survey

, 2013
We survey general properties of multiplicative arithmetic functions of several variables and related convolutions, including the Dirichlet convolution and the unitary convolution. We introduce and investigate a new convolution, called gcd convolution. We
L. Tóth
semanticscholar   +1 more source

Asymptotic Inversion of Dirichlet Series with Applications to the Distribution of Prime Numbers

Mathematical Structures and Computational Modeling
This paper investigates the inversion of Dirichlet series, and its applications to the distribution of prime numbers. Several techniques will be developed for inversion using integral kernels, conformal mappings, and asymptotic approximations as ...
George Athanasiou, Pericles Papadopoulos, K. Kalkanis, C. Psomopoulos   +3 more
semanticscholar   +1 more source

Estimates for multiplicative functions, I.

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica
In this paper we give upper estimates and asymptotic results for some classes of multiplicative functions. For the proofs we mainly use tools from the convolution arithmetic of number theoretical functions (see [4]).
K. Indlekofer, Erdener Kaya
semanticscholar   +1 more source

Means of some arithmetical functions on shifted smooth numbers in arithmetic progression

Proceedings - Mathematical Sciences, 2019
Khadija Mbarki, W. Wannes
semanticscholar   +2 more sources

Additive arithmetic functions meet the inclusion–exclusion principle: Asymptotic formulas concerning the GCD and LCM of several integers

Lithuanian Mathematical Journal, 2022
Olivier Bordellès, László Tóth, Tóth László   +2 more
exaly  

On Certain Sums of Arithmetic Functions Involving the GCD and LCM of Two Positive Integers

Results in Mathematics, 2021
László Tóth, Tóth László
exaly  

On mean values of some arithmetic functions involving different number fields

, 2015
G. Lü, Wenjun Ma
semanticscholar   +1 more source

Mean values for a class of arithmetic functions in short intervals

Mathematische Nachrichten, 2020
Jie Wu
exaly