H. C. Vidya and B. R. Srivatsa Kumar

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 25, 2019, Number 4, Pages 30–43

DOI: 10.7546/nntdm.2019.25.4.30-43

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## Details

### Authors and affiliations

H. C. Vidya

*Department of Mathematics, Manipal Institute of Technology
Manipal Academy of Higher Education, Manipal-576 104, India
*

B. R. Srivatsa Kumar

*Department of Mathematics, Manipal Institute of Technology
Manipal Academy of Higher Education, Manipal-576 104, India
*

### Abstract

In the present paper, we discuss some results on Eisenstein series of level 4 and 8. Also, as an application of this, we construct certain differential equations, incomplete integrals and deduce approximation to 3/π and convolution sums.

### Keywords

- Theta functions
- Eisenstein series
- Convolution sums

### 2010 Mathematics Subject Classification

- 11M36
- 14K25

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## Cite this paper

Vidya, H. C. & Srivatsa Kumar, B. R. (2019). Some studies on Eisenstein series and their applications. Notes on Number Theory and Discrete Mathematics, 25(4), 30-43, doi: 10.7546/nntdm.2019.25.4.30-43.