Discrepancies in the distribution of prime numbers

DOI10.1016/0022-314X(82)90030-0zbMath0489.10042OpenAlexW2092083521MaRDI QIDQ1166563

Hans-Joachim Bentz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-314x(82)90030-0

zbMATH Keywords

Chebyshev problemexplicit formulasdiscrepancies in distribution of prime numberslocation of first nontrivial zero of corresponding L- seriespredominance of primes in residue classes of nonquadratic type

Mathematics Subject Classification ID

Estimates on character sums (11L40) Primes in congruence classes (11N13) Distribution of primes (11N05)

Related Items

Small zeros of quadratic L-functions, Irrégularités dans la distribution des nombres premiers dans les progressions arithmétiques, Small zeros of Dirichlet \(L\)-functions of quadratic characters of prime modulus

Cites Work

• Quadratic residues and 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
• Die Weilsche „Explizite Formel“ und temperierte Distributionen*)
• The mean behavior of primes in arithmetic progressions.
• Über ein Vermutung von Tschebyschef. II.
• Calculation of Dirichlet L-Functions
• Further developments in the comparative prime number theory, VII
• Comparative prime-number theory. VII
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