Bounds of double multiplicative character sums and gaps between residues of exponential functions

DOI10.1016/j.jnt.2016.03.022zbMath1419.11004OpenAlexW2346837525MaRDI QIDQ290050

Igor E. Shparlinski, Kam-hung Yau

Publication date: 1 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.03.022

zbMATH Keywords

intervalsexponential functioncharacter sumsgaps

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40)

Related Items (4)

BOUNDS FOR TRIPLE EXPONENTIAL SUMS WITH MIXED EXPONENTIAL AND LINEAR TERMS ⋮ Double exponential sums with exponential functions ⋮ Double character sums with intervals and arbitrary sets ⋮ VISIBLE POINTS ON EXPONENTIAL CURVES

Cites Work

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• Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm
• On a variant of sum-product estimates and explicit exponential sum bounds in prime fields
• Some additive problems connected with exponential functions
• INCOMPLETE EXPONENTIAL SUMS OVER EXPONENTIAL FUNCTIONS
• Congruences involving product of intervals and sets with small multiplicative doubling modulo a prime and applications
• Exponential sums with multiplicative coefficients
• The distribution of spacings between small powers of a primitive root

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