Counting lattice points in the sphere

Bulletin of the London Mathematical Society

Volumn 32, Issue 6, 2000, Pages 679-688

  Tsang, Kai Man ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038831427     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609300007505     Document Type: Article

References (12)

1. 4(n)', Hardy-Ramanujan J. 12 (1989) 20-30.
2. S. D. ADHIKARI and Y.-F. S. PÉTERMANN, 'Lattice points in ellipsoids', Acta Arith. 59 (1991) 329-338.
3. P. M. BLEHER and F. J. DYSON, 'Mean square limit for lattice points in a sphere', Acta Arith. 68 (1994) 383-393.
4. F. CHAMIZO and H. IWANIEC, 'On the sphere problem', Rev. Mat. Iberoamericana 11 (1995) 417-429.
5. K. CORRÁDI and I. KÁTAI, 'A comment on K. S. Gangadharan's paper entitled "Two classical lattice point problems"', Magyar Tud. Akad. Mat. Fiz. Oszt. Kozl. 17 (1967) 89-97.
6. J. HAFNER, 'New omega theorems for two classical lattice point problems', Invent. Math. 63 (1981) 181-186.
7. D. R. HEATH-BROWN, 'Lattice points in spheres', to appear.
8. M. N. HUXLEY, 'Exponential sums and lattice points II', Proc. London Math. Soc. 66 (1993) 279-301.
9. E. KRÄTZEL, Lattice points (Kluwer, Dordrecht, 1988).
10. G. SZEGÖ, 'Beiträge zur Theorie der Laguerreschen Polynome II: Zahlentheoretische Anwendungen', Math. Z. 25 (1926) 388-404.
11. A. WALFISZ, Gitterpunkte in mehrdimensionalen Kugeln (PWN, Warszawa, 1957).
12. A. WALFISZ, Weylsche Exponentialsummen in der neueren Zahlentheorie (Deutscher Verlag der Wissenschaften, Berlin, 1963).