Continuity module of the distribution of additive functions related to the largest prime factors of integers

1990 ◽  
Vol 55 (5) ◽  
pp. 450-461 ◽  
Author(s):  
J. M. De Koninck ◽  
I. Kátai ◽  
A. Mercier
Keyword(s):  
Additive Functions ◽  
Continuity Module ◽  
Prime Factors

DARBOUX-LIKE FUNCTIONS ON ℝ n WITHIN THE CLASSES OF BAIRE ONE, BAIRE TWO, AND ADDITIVE FUNCTIONS

1998 ◽  
Vol 24 (1) ◽  
pp. 81
Author(s):  
Ciesielski
Keyword(s):  
Additive Functions ◽  
Baire One

On the prime factors of the iterates of the Ramanujan τ–function

2020 ◽  
Vol 63 (4) ◽  
pp. 1031-1047
Author(s):  
Florian Luca ◽  
Sibusiso Mabaso ◽  
Pantelimon Stănică
Keyword(s):  
Positive Integer ◽  
Prime Factors

AbstractIn this paper, for a positive integer n ≥ 1, we look at the size and prime factors of the iterates of the Ramanujan τ function applied to n.

On sum of prime factors of composite positive integers

2021 ◽  
Author(s):  
Yuchen Ding ◽  
Xiaodong Lü
Keyword(s):  
Prime Factors ◽  
Positive Integers

scholarly journals Solving $$a x^p + b y^p = c z^p$$ with abc Containing an Arbitrary Number of Prime Factors

2021 ◽  
Vol 18 (2) ◽  
Author(s):  
Luis Dieulefait ◽  
Eduardo Soto
Keyword(s):  
Arbitrary Number ◽  
Prime Factors

On triplets with descending largest prime factors

2001 ◽  
Vol 38 (1-4) ◽  
pp. 45-50 ◽  
Author(s):  
A. Balog
Keyword(s):  
Prime Factor ◽  
Prime Factors ◽  
Consecutive Integers

For an integer n≯1 letP(n) be the largest prime factor of n. We prove that there are infinitely many triplets of consecutive integers with descending largest prime factors, that is P(n - 1) ≯P(n)≯P(n+1) occurs for infinitely many integers n.

scholarly journals On integers free of large prime factors

1986 ◽  
Vol 296 (1) ◽  
pp. 265-265 ◽  
Author(s):  
Adolf Hildebrand ◽  
G{érald Tenenbaum
Keyword(s):  
Prime Factors

On the Linear Dependence of a Finite Set of Additive Functions

2011 ◽  
Vol 62 (1-2) ◽  
pp. 67-71
Author(s):  
Imre Kocsis
Keyword(s):  
Linear Dependence ◽  
Additive Functions ◽  
Finite Set ◽  
Set Of Additive Functions

Some Results Concerning the Occurrence of Specified Prime Factors in \binommr

1970 ◽  
Vol 77 (5) ◽  
pp. 510 ◽  
Author(s):  
G. J. Simmons
Keyword(s):  
Prime Factors

An Erdos-Wintner Theorem for Differences of Additive Functions

1988 ◽  
Vol 310 (1) ◽  
pp. 257 ◽  
Author(s):  
Adolf Hildebrand
Keyword(s):  
Additive Functions

scholarly journals On $p$ and $q$-Additive Functions

1999 ◽  
Vol 22 (1) ◽  
pp. 83-97 ◽  
Author(s):  
Yoshihisa UCHIDA
Keyword(s):  
Additive Functions
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