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Exploring Prime Numbers and Modular Functions III: On the Exponential of Prime Number via Dedekind Eta Function

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Abstract:

The main objective this paper is to develop asymptotic formulas for the exponential of prime number, using Dedekind eta function.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 7)
Pages:
34-37
Citation:
E. Guedes and R. R. Gandhi, "Exploring Prime Numbers and Modular Functions III: On the Exponential of Prime Number via Dedekind Eta Function", Bulletin of Mathematical Sciences and Applications, Vol. 7, pp. 34-37, 2014
Online since:
February 2014
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References:

Cesàro, Ernest, Sur une formule empirique de M. Pervouchine, Comptes rendus hebdomadaires des séances de l'Academia des sciences 119: 848-849, (1894). (French).

Apostol, Tom M., Modular functions and Dirichlet series in number theory, Springer Verlag, 2000. καιδιζlκαιs.

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