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On an Infinite Product for the Ratio of Consecutive Prime Numbers
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On an Infinite Product for the Ratio of Consecutive Prime Numbers

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Abstract:

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

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 6)
Pages:
33-39
DOI:
https://doi.org/10.18052/www.scipress.com/BMSA.6.33
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:
Edigles Guedes, K. Raja Rama Gandhi
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Distribution:
Open Access

Creative Commons License
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).

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