On the Piatetski-Shapiro-Vinogradov Theorem
Chaohua Jia
Acta Arithmetica, Tome 69 (1995), p. 1-28 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:206806 
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     title = {On the Piatetski-Shapiro-Vinogradov Theorem},
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     volume = {69},
     year = {1995},
     pages = {1-28},
     zbl = {0834.11038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav73i1p1bwm}
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Chaohua Jia. On the Piatetski-Shapiro-Vinogradov Theorem. Acta Arithmetica, Tome 69 (1995) pp. 1-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav73i1p1bwm/

[000] [1] A. Balog and J. Friedlander, A hybrid of theorems of Vinogradov and Piatetski-Shapiro, Pacific J. Math. 156 (1992), 45-62. | Zbl 0726.11061

[001] [2] H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, New York, 1980. | Zbl 0453.10002

[002] [3] G. Harman, On the distribution of αp modulo one, J. London Math. Soc. (2) 27 (1983), 9-18. | Zbl 0504.10018

[003] [4] D. R. Heath-Brown, The Pjateckiĭ-Šapiro prime number theorem, J. Number Theory 16 (1983), 242-266. | Zbl 0513.10042

[004] [5] H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320. | Zbl 0444.10038

[005] [6] C. Jia, On Pjateckiĭ-Šapiro prime number theorem (II), Science in China Ser. A 36 (1993), 913-926. | Zbl 0790.11063

[006] [7] C. Jia, On Pjateckiĭ-Šapiro prime number theorem, Chinese Ann. Math. 15B:1 (1994), 9-22. | Zbl 0795.11038

[007] [8] G. Kolesnik, Primes of the form [nc], Pacific J. Math. 118 (1985), 437-447. | Zbl 0571.10037

[008] [9] H. Q. Liu and J. Rivat, On the Pjateckiĭ-Šapiro prime number theorem, Bull. London Math. Soc. 24 (1992), 143-147. | Zbl 0772.11032

[009] [10] Chengdong Pan and Chengbiao Pan, Goldbach Conjecture, Science Press, Beijing, 1992.

[010] [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). | Zbl 0053.02702

[011] [12] P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math. 313 (1980), 161-170. | Zbl 0412.10030

[012] [13] E. Wirsing, Thin subbases, Analysis 6 (1986), 285-308.