A conditional density theorem for the zeros of the Riemann zeta-function
Alessandro Zaccagnini
Acta Arithmetica, Tome 92 (2000), p. 293-301 / Harvested from The Polish Digital Mathematics Library
Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:207415
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     author = {Alessandro Zaccagnini},
     title = {A conditional density theorem for the zeros of the Riemann zeta-function},
     journal = {Acta Arithmetica},
     volume = {92},
     year = {2000},
     pages = {293-301},
     zbl = {0949.11040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav93i3p293bwm}
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Alessandro Zaccagnini. A conditional density theorem for the zeros of the Riemann zeta-function. Acta Arithmetica, Tome 92 (2000) pp. 293-301. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav93i3p293bwm/

[000] [1] D. Bazzanella and A. Perelli, The exceptional set for the number of primes in short intervals, to appear. | Zbl 0972.11087

[001] [2] E. Bombieri, Le grand crible dans la théorie analytique des nombres, Astérisque 18 (1974).

[002] [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. | Zbl 0629.10032

[003] [4] M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170. | Zbl 0241.10026

[004] [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. | Zbl 0519.10031

[005] [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. | Zbl 0379.10023

[006] [7] E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, 2nd ed., Oxford Univ. Press, 1986. | Zbl 0601.10026

[007] [8] P. Turán, On a New Method of Analysis and its Applications, Wiley, New York, 1984.

[008] [9] A. Zaccagnini, Primes in almost all short intervals, Acta Arith. 84 (1998), 225-244. | Zbl 0895.11035