24 citations · 285 across the 74 of their papers we have counts for
6 papers · 1 filter
Values of the Euler phi function not divisible by a prescribed odd prime
Pieter Moree
Let phi denote Euler's phi function. For a fixed odd prime we give an asymptotic series expansion in the sense of Poincare for the number E_q(x) of n<=x such that q does not divide…
Sequences of enumerative geometry: congruences and asymptotics
Daniel B. Grunberg, Pieter Moree
We study the integer sequence v_n of numbers of lines in hypersurfaces of degree 2n-3 of P^n, n>1. We prove a number of congruence properties of these numbers of several different…
On the distribution of the order over residue classes
Pieter Moree
The multplicative order of an integer g modulo a prime p, with p coprime to g, is defined to be the smallest positive integer k such that g^k is congruent to 1 modulo p. For fixed…
On the Existence of Hermitian Self-Dual Extended Abelian Group Codes
Lilibeth Dicuangco, Pieter Moree, Patrick Sole
Split group codes are a class of group algebra codes over an abelian group. They were introduced in 2000 by Ding, Kohel and Ling as a generalization of the cyclic duadic codes. For…
On Robin's criterion for the Riemann Hypothesis
Y. -J. Choie, N. Lichiardopol, P. Moree +1
Robin's criterion states that the Riemann Hypothesis (RH) is true if and only if Robin's inequality sum_{d|n}d<e^{gamma}n loglog n is satisfied for n>=5041, where gamma denotes the…
Two-dimensional lattices with few distances
Pieter Moree, Robert Osburn
We prove that of all two-dimensional lattices of covolume 1 the hexagonal lattice has asymptotically the fewest distances. An analogous result for dimensions 3 to 8 was proved in 1…