Irrégularités dans la distribution des nombres premiers dans les progressions arithmétiques

DOI10.5802/afst.636zbMath0607.10029OpenAlexW2016178238MaRDI QIDQ3745909

Guy Robin

Publication date: 1986

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1986-1987_5_8_2_159_0

zbMATH Keywords

generalized Riemann hypothesisasymptotic estimateEuler functiondistribution of primes in arithmetic progressionsShanks conjectureBrent conjecture

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Primes in congruence classes (11N13) Distribution of primes (11N05)

Cites Work

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• Quadratic residues and the distribution of prime numbers
• Discrepancies in the distribution of prime numbers
• Note on the Distribution of Prime Numbers
• Quadratic Residues and the Distribution of Primes
• The evalution of Dirichlet L -functions
• Comparative prime-number theory. I
• On the Error Term of the Prime Number Theorem and the Difference between the Number of Primes in the Residue Classes Modulo 4
• Irregularities in the Distribution of Primes and Twin Primes
• Further developments in the comparative prime-number theory I
• Calculation of Dirichlet L-Functions
• A problem in comparative prime number theory

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