On a theorem of Erdös and Fuchs
On a theorem of Erdős and Fuchs
On a theorem of Landau. (Sur un théorème de Landau.)
On a thin set of integers involving the largest prime factor function.
On a two-variable -adic -function.
On a variant of the Erdős-Ginzburg-Ziv problem
On a variant of van der Waerden's theorem.
On a variation of the coin exchange problem for arithmetic progressions.
On addition of two distinct sets of integers
What is the structure of a pair of finite integers sets A,B ⊂ ℤ with the small value of |A+B|? We answer this question for addition coefficient 3. The obtained theorem sharpens the corresponding results of G. Freiman.
On addition of two distinct sets of integers
On addition of two sets of integers
On additive bases
On additive bases
On additive bases II
Let G be an additive finite abelian group, and let S be a sequence over G. We say that S is regular if for every proper subgroup H ⊆ G, S contains at most |H|-1 terms from H. Let ₀(G) be the smallest integer t such that every regular sequence S over G of length |S| ≥ t forms an additive basis of G, i.e., every element of G can be expressed as the sum over a nonempty subsequence of S. The constant ₀(G) has been determined previously only for the elementary abelian groups. In this paper, we determine...
On additive bases with two elements
On additive decompositions of the set of quadratic residues modulo p
On additive h-bases for n
On additive properties of two special sequences
On an additive property of squares and primes
On an asymptotic formula for the Niven numbers.