Distribution of values of arithmetic functions in residue classes

1985 ◽  
Vol 29 (3) ◽  
pp. 1356-1363
Author(s):  
B. M. Shirokov
Keyword(s):  
Arithmetic Functions ◽  
Residue Classes ◽  
Distribution Of Values

WEAK PROPER DISTRIBUTION OF VALUES OF MULTIPLICATIVE FUNCTIONS IN RESIDUE CLASSES

2012 ◽  
Vol 93 (1-2) ◽  
pp. 173-188
Author(s):  
WŁADYSŁAW NARKIEWICZ
Keyword(s):  
Uniform Distribution ◽  
Multiplicative Functions ◽  
Residue Classes ◽  
Distribution Of Values

AbstractFor a class of multiplicative integer-valued functions $f$ the distribution of the sequence $f(n)$ in restricted residue classes modulo $N$ is studied. We consider a property weaker than weak uniform distribution and study it for polynomial-like multiplicative functions, in particular for $\varphi (n)$ and $\sigma (n)$.

DISTRIBUTION OF BINOMIAL COEFFICIENTS AND DIGITAL FUNCTIONS

2001 ◽  
Vol 64 (3) ◽  
pp. 523-547 ◽  
Author(s):  
GUY BARAT ◽  
PETER J. GRABNER
Keyword(s):  
Arithmetic Functions ◽  
Binomial Coefficients ◽  
Asymptotic Results ◽  
Residue Classes ◽  
Adic Valuation

The distribution of binomial coefficients in residue classes modulo prime powers and with respect to the p-adic valuation is studied. For this purpose, general asymptotic results for arithmetic functions depending on blocks of digits with respect to q-ary expansions are established.

scholarly journals Distribution of values of Jordan function in residue classes

2019 ◽  
Vol 20 (2) ◽  
pp. 115-131
Author(s):  
Larisa Aleksandrovna Gromakovskaya ◽  
Boris Mikhailovich Shirokov
Keyword(s):  
Residue Classes ◽  
Distribution Of Values

scholarly journals On distribution of values of σ(n) in residue classes

1973 ◽  
Vol 27 (2) ◽  
pp. 283-291 ◽  
Author(s):  
Jan Śliwa
Keyword(s):  
Residue Classes ◽  
Distribution Of Values
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