An elementary estimate of G(n) in Waring's problem

Author:

Bredikhin B. M.,Grishina T. I.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. I. M. Vinogradov, Collected Works [in Russian], Izd. Akad. Nauk SSSR, Moscow (1952).

2. G. H. Hardy and J. E. Littlewood, “Some problems of Partitio Numerorum: IV. The singular series in Waring's problem and the value of the number G(k),” Math. Z.,12, 161–188 (1922); G. H. Hardy, Collected Papers, Vol. 1, Clarendon Press, Oxford (1966), pp. 441–469.

3. I. M. Vinogradov, Special Variants of the Method of Trigonometric sums [in Russian], Nauka, Moscow (1976).

4. B. M. Bredikhin and Yu. V. Linnik, “A new method in the analytic theory of numbers,” in: Current Problems of the Analytic Theory of Numbers [in Russian], Nauka i Tekhnika, Minsk (1974), pp. 5–22.

5. B. M. Bredikhin and N. A. Yakovleva, “Justification of heuristic principle in additive problems with prime numbers,” Mat. Zametki,17, No. 4, 659–668 (1975).

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1. Computers As a Novel Mathematical Reality: II. Waring’s Problem;Doklady Mathematics;2023-06

2. On Waring’s problem (elementary methods);Journal of Mathematical Sciences;2006-08

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