On the Piatetski-Shapiro-Vinogradov Theorem

• Autorzy: Chaohua Jia
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 73
• Numer: 1
• Strony: 1-28

Daty

wydano

1995

otrzymano

1994-05-09

Twórcy

autor

Chaohua Jia

• Institute of Mathematics, Academia Sinica, Beijing, 100080, China

Bibliografia

• [1] A. Balog and J. Friedlander, A hybrid of theorems of Vinogradov and Piatetski-Shapiro, Pacific J. Math. 156 (1992), 45-62.
• [2] H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, New York, 1980.
• [3] G. Harman, On the distribution of αp modulo one, J. London Math. Soc. (2) 27 (1983), 9-18.
• [4] D. R. Heath-Brown, The Pjateckiĭ-Šapiro prime number theorem, J. Number Theory 16 (1983), 242-266.
• [5] H. Iwaniec, A new form of the error term in the linear sieve, Acta Arith. 37 (1980), 307-320.
• [6] C. Jia, On Pjateckiĭ-Šapiro prime number theorem (II), Science in China Ser. A 36 (1993), 913-926.
• [7] C. Jia, On Pjateckiĭ-Šapiro prime number theorem, Chinese Ann. Math. 15B:1 (1994), 9-22.
• [8] G. Kolesnik, Primes of the form $[n^c]$, Pacific J. Math. 118 (1985), 437-447.
• [9] H. Q. Liu and J. Rivat, On the Pjateckiĭ-Šapiro prime number theorem, Bull. London Math. Soc. 24 (1992), 143-147.
• [10] Chengdong Pan and Chengbiao Pan, Goldbach Conjecture, Science Press, Beijing, 1992.
• [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).
• [12] P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math. 313 (1980), 161-170.
• [13] E. Wirsing, Thin subbases, Analysis 6 (1986), 285-308.