On the asymptotic formula for the number of representations of numbers as the sum of a prime and a \(k\)-th power

DOI10.3792/PJAA.69.283zbMath0799.11041OpenAlexW1979065160MaRDI QIDQ1318934

Koichi Kawada

Publication date: 20 November 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.283

zbMATH Keywords

zerosasymptotic formulanumber of representationsdensity theoremsingular seriesDedekind \(\zeta\)-functionDirichlet \(L\)- functionsum of a prime and a \(k\)- th power

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) (zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45) Representation problems (11D85)

Related Items (1)

Primes in higher-order progressions on average

Cites Work

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• On a question of Hua Lookeng
• On Artin L-functions
• О бинарной проблеме Харди-Литтльвуда
• On the exceptional set for the sum of a prime and ak‐th power
• On the Equation n = p + x 2
• Note on a Result in the Additive Theory of Numbers
• The exceptional set for the sum of a prime and a square

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