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math.NT2016★ 9 cited
On a restricted linear congruence
Khodakhast Bibak, Bruce M. Kapron, Venkatesh Srinivasan
Let , , and be all positive divisors of . For , define ${\cal C}_l:=\lbrace 1 \leqslant x\le…
math.NT2015★ 20 cited
Restricted linear congruences
Khodakhast Bibak, Bruce M. Kapron, Venkatesh Srinivasan +2
In this paper, using properties of Ramanujan sums and of the discrete Fourier transform of arithmetic functions, we give an explicit formula for the number of solutions of the line…
math.NT2011
On fully split lacunary polynomials in finite fields
Khodakhast Bibak, Igor E. Shparlinski
We estimate the number of possible types degree patterns of -lacunary polynomials of degree which split completely modulo . The result is based on a combination of a…