منابع مشابه
Fe b 20 06 A Smoothed GPY Sieve
Combining the arguments developed in [2] and [7], we introduce a smoothing device to the sieve procedure [3] of D.A. Goldston, J. Pintz, and C.Y. Yıldırım (see [4] for its simplified version). Our assertions embodied in Lemmas 3 and 4 imply that an improvement of the prime number theorem of E. Bombieri, J.B. Friedlander and H. Iwaniec [1] should give rise infinitely often to bounded differences...
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An important component of the index calculus methods for finding discrete logarithms is the acquisition of smooth polynomial relations. Gordon and McCurley (1992) developed a sieve to aid in finding smooth Coppersmith polynomials for use in the index calculus method. We discuss their approach and some of the difficulties they found with their sieve. We present a new sieving method that can be a...
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In the sieve theories of Rosser-Iwaniec and Diamond-Halberstam-Richert, the upper and lower bound sieve functions (F and f, respectively) satisfy a coupled system of diierential-diierence equations with retarded arguments. To aid in the study of these functions, Iwaniec introduced a conjugate diierence-diierential equation with an advanced argument, and gave a solution, q, which is analytic in ...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2008
ISSN: 0024-6093
DOI: 10.1112/blms/bdn023