New formulae for function.
Non-canonical extensions of Erdős-Ginzburg-Ziv theorem.
Note on a variant of the Erdős-Ginzburg-Ziv problem
On a conjecture of Lemke and Kleitman
On a variant of the Erdős-Ginzburg-Ziv problem
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 arithmetic properties of the convergents of Euler's number
On divisibility of Narayana numbers by primes.
On generalized square-full numbers in an arithmetic progression
Let and . Denote by the set of all integers whose canonical prime representation has all exponents
On Pascal’s triangle modulo
On prime-detecting sequences from Apéry's recurrence formulae for and .
On repetitions in frequency blocks of a generalized Fibonacci sequence.
On Sidon sequences of even orders
On some arithmetical properties of middle binomial coefficients
On some developments of the Erdős-Ginzburg-Ziv Theorem II
On subsequence sums of a zero-sum free sequence.
On subsequence sums of a zero-sum free sequence. II.
On sums and products of residues modulo p
On the appearance of primes in linear recursive sequences.
On the Davenport constant and group algebras
For a finite abelian group G and a splitting field K of G, let (G,K) denote the largest integer l ∈ ℕ for which there is a sequence over G such that for all . If (G) denotes the Davenport constant of G, then there is the straightforward inequality (G) - 1 ≤ (G,K). Equality holds for a variety of groups, and a conjecture of W. Gao et al. states that equality holds for all groups. We offer further groups for which equality holds, but we also give the first examples of groups G for which (G) -...