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6 papers · 2 filters
Finding well approximating lattices for a finite set of points
A. Hajdu, L. Hajdu, R. Tijdeman
In this paper we address the problem of finding well approximating lattices for a given finite set of points in . More precisely, we search for $ǒ,\v{d_1}, \dots…
Effective Resolution of Diophantine equations of the form
István Pink, Volker Ziegler
Let be a fixed non-degenerate binary recurrence sequence with positive discriminant, a fixed non-zero integer and fixed, distinct prime numbers. In th…
On a variant of Pillai's problem
Kwok Chi Chim, István Pink, Volker Ziegler
In this paper, we find all integers having at least two representations as a difference between a Fibonacci number and a Tribonacci number.
Perfect powers in products of terms of elliptic divisibility sequences
Lajos Hajdu, Shanta Laishram, Márton Szikszai
Diophantine problems involving recurrence sequences have a long history and is an actively studied topic within number theory. In this paper, we connect to the field by considering…
Effective results for discriminant equations over finitely generated domains
Jan-Hendrik Evertse, Kálmán Györy
Let be an integral domain with quotient field of characteristic that is finitely generated as a -algebra. Denote by the discriminant of a polynomial…
On products of disjoint blocks of arithmetic progressions and related equations
Szabolcs Tengely, Maciej Ulas
In this paper we deal with Diophantine equations involving products of consecutive integers, inspired by a question of Erdős and Graham.