A singular series average and Goldbach numbers in short intervals

ArticleOriginal scientific text

Title

Authors ¹

Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy

R. Baker, G. Harman and J. Pintz, The exceptional set for Goldbach's problem in short intervals, in: Proc. of Sieve Methods, Exponential Sums and Their Application in Number Theory, G. R. H. Greaves et al. (eds.), Cambridge Univ. Press, 1996, 1-54.
J. B. Friedlander and D. A. Goldston, Some singular series averages and the distribution of Goldbach numbers in short intervals, Illinois J. Math. 39 (1995), 158-180.
D. A. Goldston, Linnik's theorem on Goldbach numbers in short intervals, Glasgow Math. J. 32 (1990), 285-297.
H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, 1974.
I. Kátai, A remark on a paper of Yu. V. Linnik, Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. 17 (1967), 99-100 (in Hungarian).
A. Languasco, A conditional result on Goldbach numbers in short intervals, Acta Arith., this volume, 93-103.
H. L. Montgomery and R. C. Vaughan, The exceptional set in Goldbach's problem, Acta Arith. 27 (1975), 353-370.
K. Ramachandra, Two remarks in prime number theory, Bull. Soc. Math. France 105 (1977), 433-437.
G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Publ. Inst. E. Cartan 13, 1990.
A. Walfisz, Weylsche Exponentialsummen in der neueren Zahlentheorie, Deutscher Verlag Wiss., 1963.