The distribution of points at which norm-forms are prime

DOI10.1016/0022-314X(92)90132-9zbMath0760.11035MaRDI QIDQ1199991

Mark D. Coleman

Publication date: 17 January 1993

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

zbMATH Keywords

binary quadratic formlattice pointGrössencharacterprime ideal theoremmultidimensional distribution of prime idealsnorm-form

Mathematics Subject Classification ID

Density theorems (11R45) Distribution of prime ideals (11R44) General binary quadratic forms (11E16)

Related Items (7)

The normal density of prime ideals in small regions ⋮ Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ Relative norms of prime ideals in small regions ⋮ A Bombieri-Vinogradov theorem for primes in short intervals and small sectors ⋮ On Conjectures of T. Ordowski and Z.W. Sun Concerning Primes and Quadratic Forms ⋮ The Hooley-Huxley contour method for problems in number fields. I: Arithmetic functions ⋮ Prime values of a sparse polynomial sequence

Cites Work

• On the Phragmén-Lindelöf theorem and some applications
• The Distribution of Points at which Binary Quadratic Forms are Prime
• Some problems in multidimensional analytic number theory
• The distribution of integral and prime‐integral values of systems of full‐norm polynomials and affine‐decomposable polynomials
• A zero‐free region for the Hecke L ‐functions
• Primes in arithmetic progressions
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