On properties of systems of arithmetic sequences
On rainbow arithmetic progressions.
On sets of integers containing k elements in arithmetic progression
On simultaneous arithmetic progressions on elliptic curves.
On Squarefree Numbers in Arithmetic Progressions.
On the critical pair theory in ℤ/pℤ
On the discrepancy of quasi-progressions.
On the greatest prime factor of an arithmetical progression. II
On the growth of a van der Waerden-like function.
On the lonely runner conjecture
Suppose runners having nonzero distinct constant speeds run laps on a unit-length circular track. The Lonely Runner Conjecture states that there is a time at which a given runner is at distance at least from all the others. The conjecture has been already settled up to seven () runners while it is open for eight or more runners. In this paper the conjecture has been verified for four or more runners having some particular speeds using elementary tools.
On the Maximal Length of Two Sequences of Integers in Arithmetic Progressions with the Same Prime Divisors.
On the number of prime factors of a finite arithmetical progression
On the Product of Consecutive Elements of an Arithmetic Progression.
On the representation of integers as sums of distinct terms from a fixed set
On the structure of sets with many k-term arithmetic progressions
On the subsequence of primes having prime subscripts.