ON THE CONSECUTIVE POWERS OF A PRIMITIVE ROOT: GAPS AND EXPONENTIAL SUMS

DOI10.1112/S0025579311002117zbMath1276.11005MaRDI QIDQ3115484

Sergei V. Konyagin, Igor E. Shparlinski

Publication date: 10 February 2012

Published in: Mathematika (Search for Journal in Brave)

Mathematics Subject Classification ID

Exponential sums (11T23) Congruences; primitive roots; residue systems (11A07) Density, gaps, topology (11B05) Sequences (mod (m)) (11B50)

Related Items (11)

Bounds of double multiplicative character sums and gaps between residues of exponential functions ⋮ On small gaps between the elements of multiplicative subgroups of finite fields ⋮ Double Character Sums over Subgroups and Intervals ⋮ Congruences with intervals and subgroups modulo a prime ⋮ Double exponential sums with exponential functions ⋮ Sergei Vladimirovich Konyagin turns 60 ⋮ The finite Littlewood problem in \(\mathbb{F}_p\) ⋮ Generalized Artin Primitive Root Conjecture ⋮ Ratios of Small Integers in Multiplicative Subgroups of Residue Rings ⋮ Improved bounds on Gauss sums in arbitrary finite fields ⋮ New sum-product type estimates over finite fields

Cites Work

• Differences between powers of a primitive root
• On the divisibility of Fermat quotients
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
• On the smallest pseudopower
• The distribution of spacings between small powers of a primitive root
• On the distribution of small powers of a primitive root

This page was built for publication: ON THE CONSECUTIVE POWERS OF A PRIMITIVE ROOT: GAPS AND EXPONENTIAL SUMS