A singular series average and Goldbach numbers in short intervals

• Autorzy: A. Languasco
• Języki publikacji: EN

Kategorie tematyczne

• 11P32: Goldbach-type theorems; other additive questions involving primes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 83
• Numer: 2
• Strony: 171-179

Daty

wydano

1998

otrzymano

1997-04-14

poprawiono

1997-09-08

Twórcy

autor

A. Languasco

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

Bibliografia

• [1] 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.
• [2] 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.
• [3] D. A. Goldston, Linnik's theorem on Goldbach numbers in short intervals, Glasgow Math. J. 32 (1990), 285-297.
• [4] H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, 1974.
• [5] I. Kátai, A remark on a paper of Yu. V. Linnik, Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. 17 (1967), 99-100 (in Hungarian).
• [6] A. Languasco, A conditional result on Goldbach numbers in short intervals, Acta Arith., this volume, 93-103.
• [7] H. L. Montgomery and R. C. Vaughan, The exceptional set in Goldbach's problem, Acta Arith. 27 (1975), 353-370.
• [8] K. Ramachandra, Two remarks in prime number theory, Bull. Soc. Math. France 105 (1977), 433-437.
• [9] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Publ. Inst. E. Cartan 13, 1990.
• [10] A. Walfisz, Weylsche Exponentialsummen in der neueren Zahlentheorie, Deutscher Verlag Wiss., 1963.