On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set

• Autorzy: D. I. Tolev
• Języki publikacji: EN

Kategorie tematyczne

• 11N13: Primes in progressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 81
• Numer: 1
• Strony: 57-68

Daty

wydano

1997

otrzymano

1996-08-30

poprawiono

1997-01-20

Twórcy

autor

D. I. Tolev

• Department of Mathematics, Plovdiv University "P. Hilendarski", Plovdiv 4000, Bulgaria

Bibliografia

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• [2] A. Balog, On the distribution of $p^θ mod 1$, Acta Math. Hungar. 45 (1985), 179-199.
• [3] A. Balog and G. Harman, On mean values of Dirichlet polynomials, Arch. Math. (Basel) 57 (1991), 581-587.
• [4] E. Bombieri, On the large sieve, Mathematika 12 (1965), 201-225.
• [5] E. Bombieri and H. Iwaniec, On the order of ζ(1/2 + it), Ann. Scuola Norm. Sup. Pisa 13 (1986), 449-472.
• [6] H. Davenport, Multiplicative Number Theory (revised by H. Montgomery), Springer, 1980.
• [7] S. A. Gritsenko, On a problem of I. M. Vinogradov, Mat. Zametki 39 (1986), 625-640 (in Russian).
• [8] G. Harman, On the distribution of √p modulo one, Mathematika 30 (1983), 104-116.
• [9] A. A. Karatsuba and S. M. Voronin, The Riemann Zeta-Function, de Gruyter, 1992.
• [10] R. M. Kaufman, The distribution of √p, Mat. Zametki 26 (1979), 497-504 (in Russian).
• [11] Yu. V. Linnik, On a theorem in prime number theory, Dokl. Akad. Nauk SSSR 47 (1945), 7-8 (in Russian).
• [12] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971.
• [13] J. Rivat, Doctoral thesis, Université de Paris-Sud, 1992.
• [14] J. Schoissengeier, The connection between the zeros of the ζ-function and sequences (g(p)), p prime mod 1, Monatsh. Math. 87 (1979), 21-52.
• [15] J. Schoissengeier, Eine neue Diskrepanz für gewisse Primzahlfolgen, Sitzungsber. Math.-Naturwiss. Kl., Abt. II, 187 (1978), 219-224.
• [16] R. C. Vaughan, An elementary method in prime number theory, Acta Arith. 37 (1980), 111-115.
• [17] I. M. Vinogradov, Special Variants of the Method of Trigonometric Sums, Nauka, Moscow, 1976 (in Russian).