Bernoulli Polynomials and Ramanujan Summation

R Sivaraman - Proceedings of First International Conference on …, 2021 - Springer
The concept of Bernoulli numbers has appeared in several counting problems in
mathematics. Bernoulli numbers are vastly used in many mathematical problems, especially …

[PDF][PDF] Summing Through Triangle

R Sivaraman - International Journal of Mechanical and Production …, 2020 - academia.edu
Determination of sum of powers of natural numbers has been a quest for mathematicians
from ancient times. The formulas for sum of powers of natural numbers are widely used in …

Ramanujan Summation for Pascal's Triangle

AD Kumar, R Sivaraman - Contemporary Mathematics, 2024 - ojs.wiserpub.com
The concept of Pascal's triangle has fascinated not only professional mathematicians but
also everyone interested in exploring science. Similarly, the idea of Ramanujan summation …

[PDF][PDF] Solving Quadratic Diophantine Equation for Integral Powers of 37

M Vasuki, R Sivaraman… - International Journal of …, 2024 - researchgate.net
Diophantine Equations named after ancient Greek mathematician Diophantus, plays a vital
role not only in number theory but also in several branches of science. In this paper, we …

[PDF][PDF] ON SOLVING QUADRATIC DIOPHANTINE EQUATION 𝟏𝟓𝐱𝟐+ 𝐲𝟐= 𝟒𝐧

R Krishna, R Sivaraman - World, 2024 - researchgate.net
Diophantine Equations named after ancient Greek mathematician Diophantus, plays a vital
role not only in number theory but also in several branches of mathematics. In this paper, we …

[PDF][PDF] Ramanujan summation and magic squares

R Sivaraman - Bulletin of Mathematics and Statistics Research, 2021 - bomsr.com
Magic Squares is one of the richest and fabulous topic of research in recreational
mathematics. Great Indian Mathematician Srinivasa Ramanujan produced a wonderful …

[PDF][PDF] On Solving a Quadratic Diophantine Equation Involving Odd Powers of 17

J López-Bonilla, R Sivaraman - Indian Journal of Advanced …, 2024 - ijam.latticescipub.com
Diophantine Equations named after ancient Greek mathematician Diophantus, plays a vital
role not only in number theory but also in several branches of science. In this paper, we will …

Generalizing Ramaujan Summation

G Shailaja, R Sivaraman - Advances in Nonlinear …, 2024 - internationalpubls.com
Ever since Cesaro introduced the idea of assigning particular value to divergent series of
real numbers, various mathematicians had provided novel techniques to assign fixed values …

[PDF][PDF] Bernoulli Polynomials and Riemann Zeta Function

R Sivaraman - Journal of Critical Reviews, 2020 - researchgate.net
Abstract Ever since Swiss mathematician Jacob Bernoulli published his work about
“Bernoulli Numbers” in 1713, there have been great amount of work done regarding it. In this …

[HTML][HTML] Ramanujan Summation for Tower of Hanoi Problem

R Sivaraman - Deutsche Internationale Zeitschrift für …, 2021 - cyberleninka.ru
The concept of Ramanujan Summation which is a novel way of assigning particular value to
given divergent series was introduced by one of the great Indian mathematicians Srinivasa …