Fermat quotients for composite moduli

DOI10.1006/jnth.1997.2162zbMath0884.11003OpenAlexW2020867654WikidataQ56226413 ScholiaQ56226413MaRDI QIDQ1366667

Ladislav Skula, Karl Dilcher, Takashi Agoh

Publication date: 21 September 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2162

zbMATH Keywords

tablesBernoulli numbersBernoulli polynomialsFermat quotientsEuler quotientJFM 37.0225.02Wieferich numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Power residues, reciprocity (11A15)

Related Items (27)

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 ⋮ The arithmetic of Carmichael quotients ⋮ Unnamed Item ⋮ Congruences involving the Fermat quotient ⋮ Trace representation of pseudorandom binary sequences derived from Euler 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 ⋮ Unnamed Item ⋮ Wilson quotients for composite moduli ⋮ Estimates for Wieferich numbers ⋮ Witt vectors and Fermat quotients ⋮ ON EXPONENTIAL DIOPHANTINE EQUATIONS CONTAINING THE EULER QUOTIENT ⋮ Unnamed Item ⋮ Correction to: The arithmetic of Carmichael quotients ⋮ Trace representation of the binary \(pq^2\)-periodic sequences derived from Euler quotients ⋮ Sums of reciprocals modulo composite integers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Polynomial quotients: Interpolation, value sets and Waring's problem ⋮ Linear Complexity of Binary Threshold Sequences Derived from Generalized Polynomial Quotient with Prime-Power Modulus ⋮ New results on nonexistence of generalized bent functions ⋮ Additive character sums of polynomial quotients ⋮ Congruences involving Bernoulli numbers and Fermat-Euler quotients.

Cites Work

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• New Solutions of a p - 1 ≡1 (mod p 2 )
• On Fermat's Quotient, Base Two
• Wilson quotients for composite moduli
• On a Conjecture of Crandall Concerning the qx + 1 Problem
• A search for Wieferich and Wilson primes

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