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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…