On the Piatetski-Shapiro-Vinogradov Theorem

Chaohua Jia

Acta Arithmetica (1995)

  • Volume: 73, Issue: 1, page 1-28
  • ISSN: 0065-1036

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Chaohua Jia. "On the Piatetski-Shapiro-Vinogradov Theorem." Acta Arithmetica 73.1 (1995): 1-28. <http://eudml.org/doc/206806>.

@article{ChaohuaJia1995,
author = {Chaohua Jia},
journal = {Acta Arithmetica},
keywords = {Piatetski-Shapiro-Vinogradov theorem; sieve method; circle method; three primes theorem},
language = {eng},
number = {1},
pages = {1-28},
title = {On the Piatetski-Shapiro-Vinogradov Theorem},
url = {http://eudml.org/doc/206806},
volume = {73},
year = {1995},
}

TY - JOUR
AU - Chaohua Jia
TI - On the Piatetski-Shapiro-Vinogradov Theorem
JO - Acta Arithmetica
PY - 1995
VL - 73
IS - 1
SP - 1
EP - 28
LA - eng
KW - Piatetski-Shapiro-Vinogradov theorem; sieve method; circle method; three primes theorem
UR - http://eudml.org/doc/206806
ER -

References

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  1. [1] A. Balog and J. Friedlander, A hybrid of theorems of Vinogradov and Piatetski-Shapiro, Pacific J. Math. 156 (1992), 45-62. Zbl0726.11061
  2. [2] H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, New York, 1980. Zbl0453.10002
  3. [3] G. Harman, On the distribution of αp modulo one, J. London Math. Soc. (2) 27 (1983), 9-18. Zbl0504.10018
  4. [4] D. R. Heath-Brown, The Pjateckiĭ-Šapiro prime number theorem, J. Number Theory 16 (1983), 242-266. Zbl0513.10042
  5. [5] H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320. Zbl0444.10038
  6. [6] C. Jia, On Pjateckiĭ-Šapiro prime number theorem (II), Science in China Ser. A 36 (1993), 913-926. Zbl0790.11063
  7. [7] C. Jia, On Pjateckiĭ-Šapiro prime number theorem, Chinese Ann. Math. 15B:1 (1994), 9-22. Zbl0795.11038
  8. [8] G. Kolesnik, Primes of the form [ n c ] , Pacific J. Math. 118 (1985), 437-447. Zbl0571.10037
  9. [9] H. Q. Liu and J. Rivat, On the Pjateckiĭ-Šapiro prime number theorem, Bull. London Math. Soc. 24 (1992), 143-147. Zbl0772.11032
  10. [10] Chengdong Pan and Chengbiao Pan, Goldbach Conjecture, Science Press, Beijing, 1992. 
  11. [11] I. I. Piatetski-Shapiro, On the distribution of prime numbers in sequences of the form [f(n)], Mat. Sb. 33 (1953), 559-566 (in Russian). Zbl0053.02702
  12. [12] P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math. 313 (1980), 161-170. Zbl0412.10030
  13. [13] E. Wirsing, Thin subbases, Analysis 6 (1986), 285-308. 

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