Ratios of Small Integers in Multiplicative Subgroups of Residue Rings

DOI10.1080/10586458.2015.1091754zbMath1403.11062OpenAlexW2293209037MaRDI QIDQ2815496

Igor E. Shparlinski

Publication date: 29 June 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2015.1091754

zbMATH Keywords

character sumslarge sievemultiplicative subgroupsresidue classesratios of small integers

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40)

Related Items (1)

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

Cites Work

• On exponential sums over multiplicative subgroups of medium size
• On vanishing Fermat quotients and a bound of the Ihara sum
• On the divisibility of Fermat quotients
• The distribution of integers with a divisor in a given interval
• Character sums in short intervals and the multiplication table modulo a large prime
• An improvement for the large sieve for square moduli
• Large character sums
• ON HEILBRONN'S EXPONENTIAL SUM
• ON DIGIT PATTERNS IN EXPANSIONS OF RATIONAL NUMBERS WITH PRIME DENOMINATOR
• Double Character Sums over Subgroups and Intervals
• Pseudorandomness and Dynamics of Fermat Quotients
• Fermat quotients: exponential sums, value set and primitive roots
• Short character sums with Fermat quotients
• ON THE CONSECUTIVE POWERS OF A PRIMITIVE ROOT: GAPS AND EXPONENTIAL SUMS
• On the smallest pseudopower
• On the value set of Fermat quotients
• The Lind Lehmer constant for ℤ_{𝕡}ⁿ
• Exponential sums with multiplicative coefficients

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