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

Alessandro Zaccagnini

Acta Arithmetica (2000)

  • Volume: 93, Issue: 3, page 293-301
  • ISSN: 0065-1036

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Alessandro Zaccagnini. "A conditional density theorem for the zeros of the Riemann zeta-function." Acta Arithmetica 93.3 (2000): 293-301. <http://eudml.org/doc/207415>.

@article{AlessandroZaccagnini2000,
author = {Alessandro Zaccagnini},
journal = {Acta Arithmetica},
keywords = {Riemann zeta-function; density theorems; Selberg integral; Riemann Hypothesis},
language = {eng},
number = {3},
pages = {293-301},
title = {A conditional density theorem for the zeros of the Riemann zeta-function},
url = {http://eudml.org/doc/207415},
volume = {93},
year = {2000},
}

TY - JOUR
AU - Alessandro Zaccagnini
TI - A conditional density theorem for the zeros of the Riemann zeta-function
JO - Acta Arithmetica
PY - 2000
VL - 93
IS - 3
SP - 293
EP - 301
LA - eng
KW - Riemann zeta-function; density theorems; Selberg integral; Riemann Hypothesis
UR - http://eudml.org/doc/207415
ER -

References

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  1. [1] D. Bazzanella and A. Perelli, The exceptional set for the number of primes in short intervals, to appear. Zbl0972.11087
  2. [2] E. Bombieri, Le grand crible dans la théorie analytique des nombres, Astérisque 18 (1974). 
  3. [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. Zbl0629.10032
  4. [4] M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170. Zbl0241.10026
  5. [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. Zbl0519.10031
  6. [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. Zbl0379.10023
  7. [7] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., Oxford Univ. Press, 1986. Zbl0601.10026
  8. [8] P. Turán, On a New Method of Analysis and its Applications, Wiley, New York, 1984. 
  9. [9] A. Zaccagnini, Primes in almost all short intervals, Acta Arith. 84 (1998), 225-244. Zbl0895.11035

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