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Some studies on Eisenstein series and their applications

H. C. Vidya, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, B. R. Srivatsa Kumar, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education
2019 Notes on Number Theory and Discrete Mathematics  

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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.
doi:10.7546/nntdm.2019.25.4.30-43 fatcat:ej3nqcxccnd2faz4ux2jdwnode
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H. C. Vidya, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, B. R. Srivatsa Kumar, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education. "Some studies on Eisenstein series and their applications." Notes on Number Theory and Discrete Mathematics 25.4 (2019) 30-43