Numbers representable by five prime squares with primes in an arithmetic progression

Yonghui Wang

Acta Arithmetica (1999)

  • Volume: 90, Issue: 3, page 217-244
  • ISSN: 0065-1036

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Yonghui Wang. "Numbers representable by five prime squares with primes in an arithmetic progression." Acta Arithmetica 90.3 (1999): 217-244. <http://eudml.org/doc/207325>.

@article{YonghuiWang1999,
author = {Yonghui Wang},
journal = {Acta Arithmetica},
keywords = {representations by prime squares; singular series; arithmetic progressions},
language = {eng},
number = {3},
pages = {217-244},
title = {Numbers representable by five prime squares with primes in an arithmetic progression},
url = {http://eudml.org/doc/207325},
volume = {90},
year = {1999},
}

TY - JOUR
AU - Yonghui Wang
TI - Numbers representable by five prime squares with primes in an arithmetic progression
JO - Acta Arithmetica
PY - 1999
VL - 90
IS - 3
SP - 217
EP - 244
LA - eng
KW - representations by prime squares; singular series; arithmetic progressions
UR - http://eudml.org/doc/207325
ER -

References

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  1. [1] H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, 1980. Zbl0453.10002
  2. [2] P. X. Gallagher, A large sieve density estimates near σ = 1, Invent. Math. 11 (1970), 329-339. Zbl0219.10048
  3. [3] L. K. Hua, Additive Theory of Prime Numbers, Transl. Math. Monographs 13, Amer. Math. Soc., 1965. Zbl0192.39304
  4. [4] J. Y. Liu and T. Zhan, The ternary Goldbach problem in arithmetic progressions, Acta Arith. 82 (1997), 197-227. Zbl0889.11035
  5. [5] M. C. Liu and K. M. Tsang, Small prime solutions of linear equations, in: Théorie des Nombres, de Gruyter, 1989, 595-624. 
  6. [6] M. C. Liu and K. M. Tsang, Small prime solutions of some additive equations, Monatsh. Math. 111 (1991), 147-169. Zbl0719.11064
  7. [7] M. C. Liu and T. Zhan, The Goldbach problem with primes in arithmetic progressions, in: Analytic Number Theory, Y. Motohashi (ed.), London Math. Soc. Lecture Note Ser. 247, Cambridge Univ. Press, 1997, 227-251. Zbl0913.11043
  8. [8] H. L. Montgomery and R. C. Vaughan, The exceptional set of Goldbach's problem, Acta Arith. 27 (1975), 353-370. Zbl0301.10043
  9. [9] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge Univ. Press, 1981. Zbl0455.10034
  10. [10] I. M. Vinogradov, Elements of Number Theory, Dover, New York, 1954. Zbl0057.28201
  11. [11] Y. H. Wang, Some exponential sums over primes in an arithmetic progression, Shanda Xuebao, to appear (in Chinese). 

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