12 citations · 79 across the 49 of their papers we have counts for
4 papers · 2 filters
On vanishing Fermat quotients and a bound of the Ihara sum
Igor E. Shparlinski
We improve an estimate of A.Granville (1987) on the number of vanishing Fermat quotients modulo a prime when runs through primes . We use this bo…
Distribution of Elements of Cosets of Small Subgroups and Applications
Jean Bourgain, Sergei V. Konyagin, Igor E. Shparlinski
We obtain a series of estimates on the number of small integers and small order Farey fractions which belong to a given coset of a subgroup of order of the group of units of th…
Distribution on elements of cosets of small subgroups and applications
Jean Bourgain, Sergei Konyagin, Igor Shparlinski
We obtain a series of estimates on the number of small integers and small order Farey fractions which belong to a given coset of a subgroup of order of the group of units of th…
On the Distribution of the Subset Sum Pseudorandom Number Generator on Elliptic Curves
Simon R. Blackburn, Alina Ostafe, Igor E. Shparlinski
Given a prime , an elliptic curve $\E/\F_p$ over the finite field $\F_p$ of elements and a binary \lrs\ $\(u(n)\)_{n =1}^\infty$ of order~, we study the distribution of t…