Congruences with intervals and subgroups modulo a prime

Marc Munsch; Igor E. Shparlinski

doi:10.1307/mmj/1441116662

Congruences with intervals and subgroups modulo a prime

Marc Munsch, Igor E. Shparlinski

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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).

Originalsprache	englisch
Seiten (von - bis)	655-672
Seitenumfang	18
Fachzeitschrift	Michigan Mathematical Journal
Jahrgang	64
Ausgabenummer	3
DOIs	https://doi.org/10.1307/mmj/1441116662
Publikationsstatus	Veröffentlicht - 1 Sept. 2015
Extern publiziert	Ja

ASJC Scopus subject areas

Allgemeine Mathematik

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10.1307/mmj/1441116662

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AB - 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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U2 - 10.1307/mmj/1441116662

DO - 10.1307/mmj/1441116662

M3 - Article

AN - SCOPUS:84941273521

SN - 0026-2285

VL - 64

SP - 655

EP - 672

JO - Michigan Mathematical Journal

JF - Michigan Mathematical Journal

IS - 3

ER -

Congruences with intervals and subgroups modulo a prime

Abstract

ASJC Scopus subject areas

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