33 citations · 85 across the 27 of their papers we have counts for
28 papers
Solutions to in integers with and two set primes
Claire I. Levaillant
We present an algorithm for computing all the solutions in not necessarily distinct integers to the decomposition of the unit into a sum of unit fractions with denominators $p^a.q^…
Quantum multiple gray scale images encryption scheme in the bit plane representation model
Claire I. Levaillant
After introducing a bit-plane quantum representation for a multi-image, we present a novel way to encrypt/decrypt multiple images using a quantum computer. Our encryption scheme is…
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…