%0 Journal Article %T Congruences with intervals and subgroups modulo a prime %A Marc Munsch %A Igor Shparlinski %J Mathematics %D 2014 %I arXiv %X 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 $({\mathbb Z}/p{\mathbb Z})^*$. These results are based on some ideas, and their modifications, of a recent work of J. Cilleruelo and M. Z. Garaev (2014), %U http://arxiv.org/abs/1412.0440v2