The major arcs approximation of an exponential sum over primes

• Autorzy: D. A. Goldston
• Języki publikacji: EN

Kategorie tematyczne

• 11L20: Sums over primes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 2
• Strony: 169-179

Daty

wydano

2000

otrzymano

1999-01-04

Twórcy

autor

D. A. Goldston

• Department of Mathematics and Computer Science, San Jose State University, San Jose, CA 95192, U.S.A.

Bibliografia

• [1] G. H. Hardy and J. E. Littlewood, Note on Messrs. Shah and Wilson's paper entitled: 'On an empirical formula connected with Goldbach's theorem', Proc. Cambridge Philos. Soc. 19 (1919), 245-254.
• [2] G. H. Hardy and J. E. Littlewood, Some problems of 'Partitio Numerorum': III. On the expression of a number as a sum of primes, Acta Math. 44 (1923), 1-70.
• [3] R. C. Vaughan, The L¹ mean of exponential sums over primes, Bull. London Math. Soc. 20 (1988), 121-123.
• [4] D. R. Ward, Some series involving Euler's function, J. London Math. Soc. 2 (1927), 210-214.