On the Goldbach problem in algebraic number fields and the positivity of the singular integral

DOI10.2996/kmj/1138043716zbMath0879.11055OpenAlexW1965182569MaRDI QIDQ1364540

Takumi Noda

Publication date: 4 January 1998

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043716

zbMATH Keywords

singular integralpositivityWaring's problemalgebraic number fieldgeneralized Dirichlet integralGoldbach-Vinogradov problem

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Other analytic theory (11R47)

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AN ASYMPTOTIC FOR THE NUMBER OF SOLUTIONS TO LINEAR EQUATIONS IN PRIME NUMBERS FROM SPECIFIED CHEBOTAREV CLASSES

Cites Work

• Extended Goldbach-Vinogradov theorem in arbitrary algebraic number fields
• To the additive prime number theory of algebraic number fields
• On the Goldbach problem in an algebraic number field
• Sums of \(m\)th powers of algebraic integers
• Generalization of Waring's Problem to Algebraic Number Fields
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