Multivariate Multiplicative Functions of Uniform Random Vectors in Large Integer Domains

Authors: Kabluchko, Zakhar, Marynych, Alexander, Raschel, Kilian^{Aff3, IDs00025023019784_cor3}

Source: Results in Mathematics: Resultate der Mathematik. 78(5)

Entiers Lexicographiques

Authors: Stef, André^Aff1, Tenenbaum, Gérald

Contributors: Alladi, K., editor, Elliott, P. D. T. A., editor, Granville, A., editor, Tenebaum, G., editor

Source: Analytic and Elementary Number Theory : A Tribute to Mathematical Legend Paul Erdös. 1:167-184

Ensembles de multiples de suites finies

Authors: Péter L. Erdős, G. Tenenbaum

Source: Discrete Mathematics. 200:181-203

Subject Terms: Multiplicative properties of polynomial values, 0301 basic medicine, 03 medical and health sciences, Distribution of prime factors, Sieve, Distribution of arithmetic functions, Discrete Mathematics and Combinatorics, Erdös conjecture, Distribution of divisors, 0101 mathematics, 01 natural sciences, Theoretical Computer Science

A Note on the Distribution of Some Additive Functions

Authors: Tenenbaum, Gérald

Contributors: Institut Élie Cartan de Nancy (IECN), Institut National de Recherche en Informatique et en Automatique (Inria)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)

Source: ISSN: 0081-5438.

Subject Terms: probabilistic number theory, Erdős-Wintner theorem, arithmetic functions, additive functions, concentration functions, distribution of arithmetic functions, modulus of continuity, AMS 11N60 (11N64), [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

Availability: https://hal.science/hal-01281340
https://hal.science/hal-01281340v1/document
https://hal.science/hal-01281340v1/file/note-distr-add.pdf

Distribution of Arithmetic Functions on Certain Subsets of Integers

Authors: Koninck, J.M. De, KÁtai, I.

Source: Rocky Mountain J. Math. 37, no. 5 (2007), 1459-1482

Subject Terms: 11N25, Euler function, 11N37, sum of divisors, distribution of arithmetic functions

File Description: application/pdf

Access URL: https://projecteuclid.org/euclid.rmjm/1194275929
http://projecteuclid.org/euclid.rmjm/1194275929

Sums of multiplicative functions and limit theorems in probabilistic number theory. I: Sums of multiplicative functions and limit theorems in probabilistic number theory. II

Authors: E. Manstavičius

Source: Lithuanian Mathematical Journal. 19:251-261

Subject Terms: limiting distribution theorem, limit theorems, distribution of arithmetic functions, sums of multiplicative functions, multiplicative arithmetical functions, 01 natural sciences, Distribution functions associated with additive and positive multiplicative functions, Halasz method, Arithmetic functions in probabilistic number theory, standard normal law, additive function, Halasz's method, multiplicative arithmetic function, Asymptotic results on arithmetic functions, 0101 mathematics

File Description: application/xml

Access URL: https://zbmath.org/3786917
https://doi.org/10.1007/bf00969613
https://zbmath.org/3670541
https://doi.org/10.1007/bf00970614
https://zbmath.org/3643378
https://link.springer.com/content/pdf/10.1007/BF00970614.pdf
https://link.springer.com/article/10.1007%2FBF00970614
https://link.springer.com/content/pdf/10.1007/BF00970614.pdf

An analogue of a theorem of Kolmogorov on Markov processes in prime number theory

Authors: Kubilius, J. P.

Subject Terms: Arithmetic functions in probabilistic number theory, probabilistic number theory, distribution of arithmetic functions

File Description: application/xml

Access URL: https://zbmath.org/3111231