BOUNDS OF MULTIPLICATIVE CHARACTER SUMS WITH FERMAT QUOTIENTS OF PRIMES

DOI10.1017/S000497271000198XzbMath1221.11004OpenAlexW2122908467MaRDI QIDQ3004963

Igor E. Shparlinski

Publication date: 6 June 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497271000198x

zbMATH Keywords

character sumsFermat quotientsVaughan identity

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (18)

ON THE DISTRIBUTION OF PSEUDORANDOM NUMBERS AND VECTORS DERIVED FROM EULER–FERMAT QUOTIENTS ⋮ Trace representation and linear complexity of binary sequences derived from Fermat quotients ⋮ On \(k\)-error linear complexity of pseudorandom binary sequences derived from Euler quotients ⋮ On the k-error linear complexity of binary sequences derived from polynomial quotients ⋮ An extension of binary threshold sequences from Fermat quotients ⋮ Trace representation of pseudorandom binary sequences derived from Euler quotients ⋮ On the correlation measures of orders \(3\) and \(4\) of binary sequence of period \(p^2\) derived from Fermat quotients ⋮ On the linear complexity of binary threshold sequences derived from Fermat quotients ⋮ Linear complexity of binary sequences derived from Euler quotients with prime-power modulus ⋮ Linear complexity of pseudorandom sequences generated by Fermat quotients and their generalizations ⋮ Unnamed Item ⋮ On the value set of Fermat quotients ⋮ Boolean functions derived from Fermat quotients ⋮ Polynomial quotients: Interpolation, value sets and Waring's problem ⋮ Linear Complexity of Binary Threshold Sequences Derived from Generalized Polynomial Quotient with Prime-Power Modulus ⋮ Statistics of Different Reduction Types of Fermat Curves ⋮ Additive character sums of polynomial quotients ⋮ Statistical distribution of Fermat quotients

Cites Work

• Unnamed Item
• Miller's primality test
• On the divisibility of Fermat quotients
• Pseudorandomness and Dynamics of Fermat Quotients
• Structure of Pseudorandom Numbers Derived from Fermat Quotients
• ON THE KUMMER–MIRIMANOFF CONGRUENCES
• On the 𝑝-divisibility of Fermat quotients
• On the Euler-Kronecker constants of global fields and primes with small norms

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