DOIAbstract
AbstractLet k be a positive integer and f a multiplicative function with 0 < f(p) ≤1/k for all primes p. Then, for squarefree n, we have ∑l|nl≤n1/(k+1)f(l)≥1k+1∑l|nf(l) This improves some recent results of Alladi, Erdo˝s, and Vaaler
AbstractLet k be a positive integer and f a multiplicative function with 0 < f(p) ≤1/k for all primes p. Then, for squarefree n, we have ∑l|nl≤n1/(k+1)f(l)≥1k+1∑l|nf(l) This improves some recent results of Alladi, Erdo˝s, and Vaaler
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
SummaryFor every t there is an explicitly given number k0 such that the equation 1k + 2k + + (x − 1)...
Let k be a positive integer and f a multiplicative function with 0 f(p) k for all primes p. Then, fo...
AbstractLet k be a positive integer and f a multiplicative function with 0 < f(p) ≤1/k for all prime...
AbstractThe author has presented estimates for sums of multiplicative functions, satisfying certain ...
The study of the distribution of general multiplicative functions on arithmetic progressions is, lar...
AbstractSuppose the integer-counting function N of a system of generalized prime numbers satisfies N...
AbstractThis paper is a response to a reverse problem on arithmetic functions of Kátai. The main res...
Let χ0, χ1, χ2, … be the sequence of all Dirichlet characters (in which the principal character χ0 o...
In [1] the concept of a conjugate pair of sets of positive integers is introduced. Briefly, if Z de...
We introduce a simple sieve-theoretic approach to studying partial sums of multiplicative functions ...
AbstractIt is proved that if U ⊂ {N, N + 1,…, 2N} with |U| ⪢ N and B ⊂ {N, N + 1,…, 2N} with |B| ⪢ N...
This paper we discuss a problem on the distribution of prime multiplets in arithmetic prigressions. ...
AbstractIn this paper we modify the usual sieve methods to study the distribution of almost primes i...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
SummaryFor every t there is an explicitly given number k0 such that the equation 1k + 2k + + (x − 1)...
Let k be a positive integer and f a multiplicative function with 0 f(p) k for all primes p. Then, fo...
AbstractLet k be a positive integer and f a multiplicative function with 0 < f(p) ≤1/k for all prime...
AbstractThe author has presented estimates for sums of multiplicative functions, satisfying certain ...
The study of the distribution of general multiplicative functions on arithmetic progressions is, lar...
AbstractSuppose the integer-counting function N of a system of generalized prime numbers satisfies N...
AbstractThis paper is a response to a reverse problem on arithmetic functions of Kátai. The main res...
Let χ0, χ1, χ2, … be the sequence of all Dirichlet characters (in which the principal character χ0 o...
In [1] the concept of a conjugate pair of sets of positive integers is introduced. Briefly, if Z de...
We introduce a simple sieve-theoretic approach to studying partial sums of multiplicative functions ...
AbstractIt is proved that if U ⊂ {N, N + 1,…, 2N} with |U| ⪢ N and B ⊂ {N, N + 1,…, 2N} with |B| ⪢ N...
This paper we discuss a problem on the distribution of prime multiplets in arithmetic prigressions. ...
AbstractIn this paper we modify the usual sieve methods to study the distribution of almost primes i...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
SummaryFor every t there is an explicitly given number k0 such that the equation 1k + 2k + + (x − 1)...
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