Ramesh Kumar Muthumalai
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 19, 2013, Number 1, Pages 59—65
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Ramesh Kumar Muthumalai
Department of Mathematics, D.G. Vaishnav College
Chennai-600106, Tamil Nadu, India
Abstract
Some explicit formulae for Bernoulli numbers and Bernoulli polynomials are derived. Some rational approimations to powers of π are given in terms of Bernoulli numbers.
Keywords
- Bernoulli numbers
- Bernoulli polynomials
- Stirling numbers
- Identities
- π
AMS Classification
- 11B68
References
- Apostal, T. M., Introduction to Analytic Number Theory, Springer International Student Edition, New York, 1989.
- Gradshteyn, I. S., I. M. Ryzhik, Tables of Integrals, Series and Products, 6th Edition, Academic Press, USA, 2000.
- Ireland, K., M. Rosen, A Classical Introduction to Modern Number Theory, 2nd Edition, Springer-verlag, New York, 1990.
- Muthumalai, R. K. Some properties and applications of generalized Bernoulli polynomials, Int. Jour. Appl. Math., Vol. 25, 2012, No. 1, 83–93.
- Sándor, J., B. Crstici, Handbook of Number Theory II, Springer, Kluwer Acedemic Publishers, The Netherlands, 2004.
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Cite this paper
Muthumalai, R. K. (2013). A note on Bernoulli numbers, Notes on Number Theory and Discrete Mathematics, 19(1), 59-65.