Ramanujan summation for geometric progressions

R Sivaraman

doi:10.33545/26648636.2021.v3.i2a.33

Ramanujan summation for geometric progressions

Author(s):

R Sivaraman

Abstract:

Among several summation methods that exist in mathematics, Indian mathematician Srinivasa Ramanujan introduced a novel way of determining sum of divergent series related to Riemann zeta function. In this paper, I extended the idea of Ramanujan summation for Geometric Progressions whose common ratio is greater than 1. In doing so, a general and new result was established in this paper. Using this general result, I had obtained Ramanujan summation of two Geometric Progressions and had also explained the geometric meaning of the answers obtained.

DOI: 10.33545/26648636.2021.v3.i2a.33

Pages: 09-11 | 893 Views 328 Downloads

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International Journal of Physics and Mathematics

How to cite this article:

R Sivaraman. Ramanujan summation for geometric progressions. Int. J. Phys. Math. 2021;3(2):09-11. DOI: 10.33545/26648636.2021.v3.i2a.33

Vol. 3, Issue 2, Part A (2021)

Ramanujan summation for geometric progressions

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