References

DIOPHANTINE APPROXIMATION WITH FOUR SQUARES AND ONE K-TH POWER OF PRIMES


[1] R. P. Bambah, Four squares and a k-th power, Quart. J. Math. Oxford 5 (1954), 191-202.

[2] B. J. Birch and H. Davenport, On a theorem of Davenport and Heilbronn, Acta Mathematica 100 (1958), 259-279.

[3] H. Davenport and H. Heilbronn, On indefinite quadratic forms in five variables, Journal of London Math. Soc. 21 (1946), 185-193.

[4] A. Ghosh, The distribution modulo one, Proc. London Math. Soc. 42 (1981), 252-269.

[5] G. Harman, The values of ternary quadratic forms at prime arguments, Mathematika 51 (2004), 83-96.

[6] Kee Wai Lau and Ming-Chit Liu, Approximation by four squares and a k-th power, Southeast Asian Bull. Math. 2 (1978), 33-36.

[7] W. P. Li and T. Z. Wang, Diophantine approximation with one prime and three squares of primes, The Ramanujan Journal (in press).

[8] R. C. Vaughan, Diophantine approximation by prime numbers, I, Proc. London Math. Soc. 28 (1974), 373-384.

[9] R. C. Vaughan, Diophantine approximation by prime numbers, II, Proc. London Math. Soc. 28 (1974), 385-401.