A generalization of a conjecture of Hardy and Littlewood to algebraic number fields

DOI10.1216/rmjm/1022008986zbMath0978.11064OpenAlexW2128464234WikidataQ123347509 ScholiaQ123347509MaRDI QIDQ5928669

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Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-1/CONT30-1/CONT30-1.html

zbMATH Keywords

Hardy-Littlewood conjecturenumber fields

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Distribution of prime ideals (11R44)

Related Items (2)

Sums of singular series and primes in short intervals in algebraic number fields ⋮ On the distribution of algebraic primes in small regions

Cites Work

• Local distribution of Gaussian primes
• Sur certaines hypothèses concernant les nombres premiers
• Heuristic Reasoning in the Theory of Numbers
• THE FREQUENCY OF PRIME-PATTERNS
• A Note on Gaussian Twin Primes
• Remarks on the paper "Sur certaines hypothèses concernant les nombres premiers"
• Verallgemeinerung der Siebmethode von A. Selberg auf algebraische Zahlkörper. III.
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• An asymptotic inequality concerning primes in contours for the case of quadratic number fields
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