24 citations · 285 across the 74 of their papers we have counts for
79 papers · 1 filter
Conflict-avoiding codes and near-primitive roots
C. G. Karthick Babu, Pieter Moree, Sunil Kumar Pasupulati +1
An important role in the theory of conflict-avoiding codes is played by a quantity involving the multiplicative order of modulo , with running over all positive divisors…
A proof of the corrected Sister Beiter cyclotomic coefficient conjecture inspired by Zhao and Zhang
Branko Juran, Pieter Moree, Adrian Riekert +2
The largest coefficient (in absolute value) of a cyclotomic polynomial is called its height . In case is a fixed prime it turns out that as and range over a…
The distribution of the multiplicative index of algebraic numbers over residue classes
Pieter Moree, Antonella Perucca, Pietro Sgobba
Let be a number field and a finitely generated torsion-free subgroup of . Given a prime of we denote by the index o…
Prime divisors of -Genocchi numbers and the ubiquity of Ramanujan-style congruences of level
Pieter Moree, Pietro Sgobba
Let be any fixed prime number. We define the -Genocchi numbers by , with the -th Bernoulli number. They are integers. We introduce and…
Higher Reciprocity Laws and Ternary Linear Recurrence Sequences
Pieter Moree, Armand Noubissie
We describe the set of prime numbers splitting completely in the non-abelian splitting field of certain monic irreducible polynomials of degree three. As an application we establis…
Ramanujan-style congruences for prime level
Arvind Kumar, Moni Kumari, Pieter Moree +1
We establish Ramanujan-style congruences modulo certain primes between an Eisenstein series of weight , prime level and a cuspidal newform in the -eigens…