Limitation to the asymptotic formula in Waring's problem

 Access to full text

 Full (PDF)

1. [1] K. D. Boklan, The asymptotic formula in Waring's Problem, Mathematika 41 (1994), 329-347. Zbl0815.11050
2. [2] G. H. Hardy, On the representation of a number as the sum of any number of squares, and in particular of five, Trans. Amer. Math. Soc. 21 (1920), 255-284. Zbl47.0883.03
3. [3] G. H. Hardy and J. E. Littlewood, Some problems of 'Partitio Numerorum', IV, Math. Z. 12 (1922), 161-188. Zbl48.0146.01
4. [4] D. R. Heath-Brown, Weyl's inequality, Hua's inequality, and Waring's problem, J. London Math. Soc. 38 (1988), 216-230. Zbl0619.10046
5. [5] L. K. Hua, On Waring's problem, Quart. J. Math. Oxford 9 (1938), 199-202. Zbl64.0124.04
6. [6] L. K. Hua, An improvement of Vinogradov's mean-value theorem and several applications, Quart. J. Math. Oxford 20 (1949), 48-61. Zbl0039.27403
7. [7] H. L. Montgomery and R. C. Vaughan, Error terms in additive prime number theory, Quart. J. Math. Oxford 24 (1973), 207-216. Zbl0257.10027
8. [8] R. C. Vaughan, On the addition of sequences of integers, J. Number Theory 4 (1972), 1-16. Zbl0226.10058
9. [9] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge University Press, 1981. Zbl0455.10034
10. [10] R. C. Vaughan, On Waring's problem for cubes, J. Reine Angew. Math. 365 (1986), 122-170. Zbl0574.10046
11. [11] R. C. Vaughan, On Waring's problem for smaller exponent II, Mathematika 33 (1986), 6-22. Zbl0601.10037
12. [12] I. M. Vinogradov, New estimates for Weyl's sum, Dokl. Akad. Nauk SSSR 8 (1935), 195-198. 
13. [13] T. D. Wooley, On Vinogradov's mean value theorem, Mathematika 39 (1992), 379-399. Zbl0769.11036

1. Anubhav Sharma, Ayyadurai Sankaranarayanan, On the average behavior of the Fourier coefficients of $j$th symmetric power $L$-function over certain sequences of positive integers