# On sums of five almost equal prime squares

Acta Arithmetica (1996)

- Volume: 77, Issue: 4, page 369-383
- ISSN: 0065-1036

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topJianya Liu, and Tao Zhan. "On sums of five almost equal prime squares." Acta Arithmetica 77.4 (1996): 369-383. <http://eudml.org/doc/206926>.

@article{JianyaLiu1996,

author = {Jianya Liu, Tao Zhan},

journal = {Acta Arithmetica},

keywords = {Waring-Goldbach problem; circle method; exponential sums over primes},

language = {eng},

number = {4},

pages = {369-383},

title = {On sums of five almost equal prime squares},

url = {http://eudml.org/doc/206926},

volume = {77},

year = {1996},

}

TY - JOUR

AU - Jianya Liu

AU - Tao Zhan

TI - On sums of five almost equal prime squares

JO - Acta Arithmetica

PY - 1996

VL - 77

IS - 4

SP - 369

EP - 383

LA - eng

KW - Waring-Goldbach problem; circle method; exponential sums over primes

UR - http://eudml.org/doc/206926

ER -

## References

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- [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] 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] 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] 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] I. M. Vinogradov, Estimation of certain trigonometric sums with prime variables, Izv. Akad. Nauk SSSR Ser. Mat. 3 (1939), 371-398 (in Russian).
- [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] 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

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