Ramesh Kumar Muthumalai

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 19, 2013, Number 2, Pages 77—83

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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 applications of Legendre symbols connecting with certain infinite series are studied. In addition, some identities for Dirichlet series through Legendre symbols and Hurwitz zeta function are given.

### Keywords

- Legendre symbols
- Infinite series
- Dirichlet series

### AMS Classification

- 11A25
- 40A05

### 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 ed.), Academic Press, USA, 2000.
- Muthumalai, R. K. Some properties of new arithmetic function and its applications to analytic number theory, Notes on Number Theory and Discrete Mathematics, Vol. 17, 2011, No. 3, 38–48.

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## Cite this paper

APAMuthumalai, R. K. (2013). Note on Legendre symbols connecting with certain infinite series. Notes on Number Theory and Discrete Mathematics, 19(2), 77-83.

ChicagoMuthumalai, Ramesh Kumar. “Note on Legendre Symbols Connecting with Certain Infinite Series.” Notes on Number Theory and Discrete Mathematics 19, no. 2 (2013): 77-83.

MLAMuthumalai, Ramesh Kumar. “Note on Legendre Symbols Connecting with Certain Infinite Series.” Notes on Number Theory and Discrete Mathematics 19.2 (2013): 77-83. Print.