On sums of two k-th powers: A mean-square bound for the error term

Analysis (Germany)

Volumn 16, Issue 3, 1996, Pages 297-304

  Nowak, Werner Georg ^a  

^a UNIVERSITY OF NATURAL RESOURCES AND LIFE SCIENCES   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041366402     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.1996.16.3.297     Document Type: Article

References (10)

1. S.W. Graham and G. Kolesnik, Van der Corput's method of exponential sums, Cambridge University Press, Cambridge, 1991.
2. J.L. Hafner, New omega theorems for two classical lattice point problems, Invent. Math. 63 (1981), 181–186.
3. M.N. Huxley, Exponential sums and lattice points II, Proc. London Math. Soc. 66 (1993), 279–301.
4. I. Kátai, The number of lattice points in a circle, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 8 (1965), 39–60.
5. E. Krätzel, Bemerkungen zu einem Gitterpunktproblem, Math. Ann. 179 (1969), 90–96.
6. E. Krätzel, Lattice Points, Dt. Verl. d. Wiss., Berlin, 1988.
7. G. Kuba, On sums of two k-th powers of numbers in residue classes II, Abh. Math. Sem. Hamburg 63 (1993), 87–95.
8. L. Schnabel, Über eine Verallgemeinerung des Kreisproblems, Wiss. Z. FSU Jena, Math.-naturwiss. R. 31 (1982), 667–781.
9. J.D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. (2) 12 (1985), 183–216.
10. J.G. Van der Corput, Over roosterpunkten in het plate vlak, Thesis, Groningen, 1919.