The Twin Problem, according to Hardy–Littlewood

Aldo Peretti
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 2, 1996, Number 3, Pages 33–41
Full paper (PDF, 252 Kb)

Details

Authors and affiliations

Aldo Peretti
Facultad de Ciencia y Tecnologia – Universidad del Salvador Rodriguez Pena,
640 (1020) Buenos Aires, Argentina

Abstract

The ideas suggested by Hardy and Littlevvood in their paper [1] concerning the subject of the title, are explained at full length. A further contribution is made by the introduction of Poisson’s integral formula in the solution of the problem.

References

  1. G. Hardy and J. Littlewood: Some problems in “Partitio Numerorum” III – On the expression of a number as a sum of primes. Acta Math. (1922) p. 1-70.
  2. E. Landau – Vorlesungen Uber Zahlentheorie – Chelsea Edition, p. 218
  3. E. Titchmarsh. Hie Theory of Functions. Oxford Univ. Press. 2nd. edition. Chap. Ill, § 3.6, p. 124.
  4. G. Hardy and J. Littlewood: Tauberian theorems concerning power series and Dirichlet’s series whose coefficients are positive. Proc. London Math. Soc. (2) 13 (1914) p. 174-91.

Related papers

Cite this paper

Peretti, A. (1996). The Twin Problem, according to Hardy–Littlewood. Notes on Number Theory and Discrete Mathematics, 2(3), 33-41.

Comments are closed.