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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 204, Pages 5–10 (Mi znsl5780)  

The Hardy–Littlewood conjecture. An algebraic approach

A. I. Vinogradov
Abstract: We consider the well-known Hardy–Littlewood equation, which is related to the Waring problem, in terms of roots of polynomials of the corresponding degree. The Hardy–Littlewood conjecture is confirmed for cubic fields. Bibliography: 3 titles.
English version:
Journal of Mathematical Sciences, 1996, Volume 79, Issue 5, Pages 1273–1276
DOI: https://doi.org/10.1007/BF02366456
Bibliographic databases:
Document Type: Article
UDC: 511.512
Language: Russian
Citation: A. I. Vinogradov, “The Hardy–Littlewood conjecture. An algebraic approach”, Analytical theory of numbers and theory of functions. Part 11, Zap. Nauchn. Sem. POMI, 204, Nauka, St. Petersburg, 1993, 5–10; J. Math. Sci., 79:5 (1996), 1273–1276
Citation in format AMSBIB
\Bibitem{Vin93}
\by A.~I.~Vinogradov
\paper The Hardy--Littlewood conjecture. An algebraic approach
\inbook Analytical theory of numbers and theory of functions. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 204
\pages 5--10
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5780}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1216863}
\zmath{https://zbmath.org/?q=an:0805.11073|0844.11062}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 79
\issue 5
\pages 1273--1276
\crossref{https://doi.org/10.1007/BF02366456}
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