We obtain new results about the representation of almost all residues modulo a prime p by a product of a small integer and also an element of small multiplicative subgroup of (ℤ/pℤ)∗. These results are based on some ideas, and their modifications, of a recent work of Cilleruelo and Garaev (2014).
Congruences with intervals and subgroups modulo a prime
Munsch M.;
2015-01-01
Abstract
We obtain new results about the representation of almost all residues modulo a prime p by a product of a small integer and also an element of small multiplicative subgroup of (ℤ/pℤ)∗. These results are based on some ideas, and their modifications, of a recent work of Cilleruelo and Garaev (2014).
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