A conditional density theorem for the zeros of the Riemann zeta-function

• Autorzy: Alessandro Zaccagnini
• Języki publikacji: EN

Kategorie tematyczne

• 11M06: ζ ( s ) and L ( s , χ )
• 11M26: Nonreal zeros of ζ ( s ) and L ( s , χ ) ; Riemann and other hypotheses

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 93
• Numer: 3
• Strony: 293-301

Daty

wydano

2000

otrzymano

1999-03-29

poprawiono

1999-09-22

Twórcy

autor

Alessandro Zaccagnini

• Dipartimento di Matematica, Università degli Studi di Parma, via Massimo d'Azeglio 85/A, 43100 Parma, Italy

Bibliografia

• [1] D. Bazzanella and A. Perelli, The exceptional set for the number of primes in short intervals, to appear.
• [2] E. Bombieri, Le grand crible dans la théorie analytique des nombres, Astérisque 18 (1974).
• [3] D. A. Goldston and H. L. Montgomery, Pair correlation of zeros and primes in short intervals, in: Analytic Number Theory and Diophantine Problems, A. Adolphson et al. (eds.), Birkhäuser, Boston, 1987, 183-203.
• [4] M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170.
• [5] G. Kolesnik and E. G. Straus, On the sum of powers of complex numbers, in: Studies in Pure Mathematics, To the Memory of P. Turán, P. Erdős (ed.), Birkhäuser, Basel, 1983, 427-442.
• [6] B. Saffari and R. C. Vaughan, On the fractional parts of x/n and related sequences. II, Ann. Inst. Fourier (Grenoble) 27 (1977), no. 2, 1-30.
• [7] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., Oxford Univ. Press, 1986.
• [8] P. Turán, On a New Method of Analysis and its Applications, Wiley, New York, 1984.
• [9] A. Zaccagnini, Primes in almost all short intervals, Acta Arith. 84 (1998), 225-244.