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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## Details

### Authors and affiliations

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

APAMuthumalai, R. K. (2013). A note on Bernoulli numbers, Notes on Number Theory and Discrete Mathematics, 19(1), 59-65.

ChicagoMuthumalai, Ramesh Kumar. “A Note on Bernoulli Numbers.” Notes on Number Theory and Discrete Mathematics 19, no. 1 (2013): 59-65.

MLAMuthumalai, Ramesh Kumar. “A Note on Bernoulli Numbers.” Notes on Number Theory and Discrete Mathematics 19.1 (2013): 59-65. Print.