On sums of five almost equal prime squares

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1. [1] F. C. Auluck and S. Chowla, The representation of a large number as a sum of 'almost equal' squares, Proc. Indian Acad. Sci. Sect. A 6 (1937), 81-82. Zbl0017.15109
2. [2] A. Balog and A. Perelli, Exponential sums over primes in short intervals, Acta Math. Hungar. 48 (1986), 223-228. Zbl0612.10031
3. [3] H. Davenport, Multiplicative Number Theory, 2nd ed., revised by H. L. Montgomery, Springer, 1980. Zbl0453.10002
4. [4] A. Ghosh, The distribution of αp² modulo one, Proc. London Math. Soc. (3) 42 (1981), 252-269. Zbl0397.10026
5. [5] G. Harman, Trigonometric sums over primes I, Mathematika 28 (1981), 249-254. Zbl0465.10029
6. [6] L.-K. Hua, Some results in the additive prime number theory, Quart. J. Math. 9 (1938), 68-80. Zbl0018.29404
7. [7] C.-H. Jia, Three prime theorem in short intervals (VII), Acta Math. Sinica 10 (1994), 369-387. Zbl0847.11054
8. [8] J. Y. Liu and T. Zhan, Estimation of exponential sums over primes in short intervals (I), to appear. Zbl0922.11070
9. [9] J. Y. Liu and T. Zhan, Estimation of exponential sums over primes in short intervals (II), in: Proceedings of the Halberstam Conference on Analytic Number Theory, Birkhäuser, 1996, to appear. Zbl0858.11044
10. [10] C. D. Pan and C. B. Pan, On estimations of trigonometric sums over primes in short intervals (III), Chinese Ann. Math. Ser. B 11 (1990), 138-147. Zbl0714.11050
11. [11] E. C. Titchmarsh, The Theory of the Riemann Zeta-function, 2nd ed., revised by D. R. Heath-Brown, Oxford University Press, 1988. Zbl0042.07901
12. [12] R. C. Vaughan, An elementary method in prime number theory, in: Recent Progress in Analytic Number Theory, H. Halberstam and C. Hooley (eds.), Academic Press, 1981, 341-348. 
13. [13] I. M. Vinogradov, Estimation of certain trigonometric sums with prime variables, Izv. Akad. Nauk SSSR Ser. Mat. 3 (1939), 371-398 (in Russian). 
14. [14] E. M. Wright, The representation of a number as a sum of three or four squares, Proc. London Math. Soc. 42 (1937), 481-500. Zbl0016.29004
15. [15] T. Zhan, On the representation of large odd integers as sum of three almost equal primes, Acta Math. Sinica (N.S.) 7 (1991), 159-272. Zbl0742.11048