On a diophantine inequality involving prime numbers

• Autorzy: D. I. Tolev
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1992
• Tom: 61
• Numer: 3
• Strony: 289-306

Daty

wydano

1992

otrzymano

1991-05-22

Twórcy

autor

D. I. Tolev

• Department of Mathematics, University of Plovdiv, "Tsar Asen" 24, Plovdiv 4000, Bulgaria

Bibliografia

• [1] S. A. Gritsenko, On a problem of I. M. Vinogradov, Mat. Zametki 39 (1987), 625-640 (in Russian).
• [2] M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170.
• [3] A. A. Karatsuba, Principles of Analytic Number Theory, Nauka, Moscow 1983 (in Russian).
• [4] I. I. Piatetski-Shapiro, On a variant of Waring-Goldbach's problem, Mat. Sb. 30 (72) (1) (1952), 105-120 (in Russian).
• [5] B. I. Segal, On a theorem analogous to Waring's theorem, Dokl. Akad. Nauk SSSR (N. S.) 2 (1933), 47-49 (in Russian).
• [6] E. G. Titchmarsh, The Theory of the Riemann Zeta-function (revised by D. R. Heath-Brown), Clarendon Press, Oxford 1986.
• [7] D. I. Tolev, Diophantine inequalities involving prime numbers, Thesis, Moscow University, 1990 (in Russian).
• [8] R. C. Vaughan, On the distribution of αp modulo 1, Mathematika 24 (1977), 135-141.