10.46298/hrj.1979.643
https://hrj.episciences.org/643
Balasubramanian, R
R
Balasubramanian
On warning's problem : g (4) < 21
We prove that every natural number is a sum of at most 21 fourth powers of integers. This improves the corresponding result of H. E. Thomas, Jr. where 21 is replaced by 22. Using Vinogradov's version of the Hardy-Littlewood circle method, a careful estimation of the singular series and of the trigonometric sums by means of ideas of Ch'en-Ching Jun leads to the above result.
episciences.org
sum of fourth powers
singular series.
Hardy-Littlewood circle method
[MATH] Mathematics [math]
2015-06-12
1979-01-01
1979-01-01
en
journal article
https://hal.archives-ouvertes.fr/hal-01103845v1
2804-7370
https://hrj.episciences.org/643/pdf
VoR
application/pdf
Hardy-Ramanujan Journal
Volume 2 - 1979
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