THE DISPERSION METHOD AND DEFINITE BINARY ADDITIVE PROBLEMS

DOI10.1070/RM1965v020n02ABEH001170zbMath0135.09702OpenAlexW1998520664MaRDI QIDQ5507751

B. M. Bredikhin

Publication date: 1965

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umn/v20/i2/p89

zbMATH Keywords

additive divisor problemdispersion methodanalogue of the divisor problem of translated prime numbersdefinite binary additive problemsfundamental equations of the dispersion method and special sumsgeneralized Hardy-Littlewood problem

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55)

Related Items (8)

An analog of the generalized Hardy-Littlewood problem with almost prime numbers ⋮ Additive divisor problem and its generalization ⋮ Partition into terms with prime numbers ⋮ An asymptotic series for an additive divisor problem ⋮ On some additive divisor problems, II ⋮ Generalization of an additive divisor problem ⋮ The ternary Goldbach problem with arithmetic weights attached to two of the variables ⋮ Some applications of Bombieri's theorem

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