8 citations · 24 across the 13 of their papers we have counts for
15 papers · 1 filter
Coprimality of elements in regular sequences with polynomial growth
Jean-Marc Deshouillers, Sunil Naik
The investigation of primes in certain arithmetic sequences is one of the fundamental problems in number theory and especially, finding blocks of distinct primes has gained a lot o…
On coprimality of consecutive elements in certain sequences
Jean-Marc Deshouillers, Sunil Naik
The study of finding blocks of primes in certain arithmetic sequences is one of the classical problems in number theory. It is also very interesting to study blocks of consecutive…
Binary-ternary collisions and the last significant digit of in base 12
Jean-Marc Deshouillers, Pascal Jelinek, Lukas Spiegelhofer
The third-named author recently proved [Israel J. of Math. 258 (2023), 475--502] that there are infinitely many \textit{collisions} of the base-2 and base-3 sum-of-digits functions…
Synchronizing automatic sequences along Piatetski-Shapiro sequences
Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner +2
The purpose of this paper is to study subsequences of synchronizing -automatic sequences along Piatetski-Shapiro sequences with non-integer . I…
Representing ideal classes of ray class groups by product of prime ideals of small size
J. -M. Deshouillers, S. Gun, O. Ramaré +1
We prove that, for every modulus , every class of the narrow ray class group of an arbitrary number field contains a produ…
On a question of Luca and Schinzel over Segal-Piatetski-Shapiro sequences
Jean-Marc Deshouillers, Mehdi Hassani, Mohammad Nasiri-Zare
We extend to Segal-Piatetski-Shapiro sequences previous results on the Luca-Schinzel question over integral valued polynomial sequences. Namely, we prove that for any real larg…