33 citations · 85 across the 27 of their papers we have counts for
5 papers · 1 filter
Congruences related to Eulerian and Euler numbers
Claire Levaillant
Using Eulerian and Euler numbers, we establish congruences concerning sums involving harmonic numbers, tangent numbers and Genocchi numbers.
A congruence concerning a convolution involving weighted Bernoulli numbers
Claire I. Levaillant
Given a prime , we reduce modulo p a convolution of order p-1 of powers of two weighted Bernoulli numbers with Bernoulli numbers in terms of harmonic numbers and generaliz…
A note on the Voronoi congruences and the residue of the Fermat quotient
Claire I. Levaillant
Given an odd prime p, we prove a congruence on the p-residue of the Fermat quotient q_p(a) in base a with 0<a<p, which arises from a generalization of the Voronoi congruences and f…
Some implications of the Gessel identity
Claire Levaillant
We generalize the congruences of Friedmann-Tamarkine (1909), Lehmer (1938), Ernvall-Metsankyla (1991) on the sums of powers of integers weighted by powers of the Fermat quotients t…
Multiple harmonic sums modulo and applications
Claire I. Levaillant
Wilson's theorem for the factorial got generalized to the moduli in 1900 and in 2000 by J.W.L. Glaisher and Z-H. Sun respectively. This paper which studies more general…