On A Theorem Of Möbius: Elementary Variations On The Polynomial Tonality.
On a variant of the Erdős-Ginzburg-Ziv problem
On additive number-theoretical functions with values in a compact Abelian group.
On Alternatives of Polynomial Congruences
What should be assumed about the integral polynomials in order that the solvability of the congruence for sufficiently large primes p implies the solvability of the equation in integers x? We provide some explicit characterizations for the cases when are binomials or have cyclic splitting fields.
On an additive property of squares and primes
On an algorithm which produces the g.c.d. of a set of n (n>2) integers in a simultaneous manner.
On an analogue of completely multiplicative functions.
On an estimate of Walfisz and Saltykov for an error term related to the Euler function
The technique developed by A. Walfisz in order to prove (in 1962) the estimate for the error term related to the Euler function is extended. Moreover, the argument is simplified by exploiting works of A.I. Saltykov and of A.A. Karatsuba. It is noted in passing that the proof proposed by Saltykov in 1960 of is erroneous and once corrected “only” yields Walfisz’ result. The generalizations obtained can be applied to error terms related to various classical - and less classical - arithmetical...
On an extension of a theorem of S. Chowla
On an extension of Kronecker's function
On an identity between infinite series of arithmetic functions
On an inequality for additive arithmetic functions
On an inequality related to the Legendre totient function.
On anti-elite prime numbers.
On arithmetic functions with congruence property
On arithmetic properties of the convergents of Euler's number
On Bernoulli and Euler Numbers.
On binary representations of integers with digits .
On certain arithmetic functions involving the greatest common divisor
The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.
On certain continued fraction expansions of fixed period length