19 citations · 31 across the 14 of their papers we have counts for
4 papers · 1 filter
Exponential Sums with Sparse Polynomials and Distribution of the Power Generator
Subham Bhakta, Igor Shparlinski
We obtain new bounds on complete rational exponential sums with sparse polynomials modulo a prime, under some mild conditions on the degrees of the monomials of such polynomials. T…
Sums of Kloosterman sums over square-free and smooth integers
Xuancheng Shao, Igor E. Shparlinski, Laurence P. Wijaya
Recently there has been a large number of works on bilinear sums with Kloosterman sums and on sums of Kloosterman sums twisted by arithmetic functions. Motivated by these, we consi…
Binary and ternary congruences involving intervals and sets modulo a prime
Moubariz Z. Garaev, Julio C. Pardo, Igor E. Shparlinski
Let be a fixed positive integer constant, be a fixed small positive number. Then, provided that a prime is large enough, we prove that for any set $\{{\mathca…
Exponential sums over integers without large prime divisors
Sary Drappeau, Igor E. Shparlinski
We obtain a new bound on exponential sums over integers without large prime divisors, improving that of Fouvry and Tenenbaum (1991). For a fixed integer , we also obtain ne…