WATT'S MEAN VALUE THEOREM AND CARMICHAEL NUMBERS

DOI10.1142/S1793042108001316zbMath1221.11194OpenAlexW2106476803WikidataQ56041258 ScholiaQ56041258MaRDI QIDQ3602976

Glyn Harman

Publication date: 12 February 2009

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

Full work available at URL: https://doi.org/10.1142/s1793042108001316

zbMATH Keywords

primes in arithmetic progressionssieve methodsL-functionsCarmichael numbersDirichlet charactersMean value theoremsBuchstab's identity

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Primes in congruence classes (11N13)

Related Items

Carmichael numbers and the sieve, On the Carmichael rings, Carmichael ideals and Carmichael polynomials, On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-$p$ digits, A Bombieri–Vinogradov-type theorem with prime power moduli, A CONDITIONAL DENSITY FOR CARMICHAEL NUMBERS, PRODUCTS OF SHIFTED PRIMES SIMULTANEOUSLY TAKING PERFECT POWER VALUES, ON CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS, Carmichael numbers with a totient of the form \(a^2+nb^2\), BOUNDS FOR A MEAN VALUE OF CHARACTER SUMS, Connected components of the graph generated by power maps in prime finite fields, The number of solutions of the Erdős-Straus Equation and sums ofkunit fractions, Bounds on short character sums and \(L\)-functions with characters to a powerful modulus, Infinitude of k-Lehmer numbers which are not Carmichael, Some thoughts on pseudoprimes, MULTIPLE PATTERNS OF k-TUPLES OF INTEGERS, CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS

Cites Work

• Kloosterman sums and a mean value for Dirichlet polynomials
• The Difference Between Consecutive Primes, II
• Two contradictory conjectures concerning Carmichael numbers
• BOUNDS FOR A MEAN VALUE OF CHARACTER SUMS
• On the Number of Carmichael Numbers up to x
• On Fermat’s simple theorem