The main objective of this paper is to develop an infinite product formula for the ratio of consecutive prime numbers, using Jacobi elliptic functions.

Periodical:

Bulletin of Mathematical Sciences and Applications (Volume 6)

Pages:

33-39

Citation:

E. Guedes and K. R. R. Gandhi, "On an Infinite Product for the Ratio of Consecutive Prime Numbers", Bulletin of Mathematical Sciences and Applications, Vol. 6, pp. 33-39, 2013

Online since:

November 2013

Authors:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License

References:

[1] http: /en. wikipedia. org/wiki/Prime_number_theorem, available in April 22, (2013).

[2] Armitage, J. V. and Eberlein, W. F., Elliptic Functions, London Mathematical Society, (2006).

[3] http: /functions. wolfram. com/EllipticFunctions/EllipticNomeQ/, available in November 3, (2013).

[4] http: /en. wikipedia. org/wiki/Elliptic_integral, available in November 3, (2013).