Open AccessRamanujan: The New Sum of All Natural Numbers
Author(s) -
Gaurav Singh Patel,
Saurabh Kumar Gautam
Publication year - 2022
Publication title -
international journal for research in applied science and engineering technology
Language(s) - English
Resource type - Journals
ISSN - 2321-9653
DOI - 10.22214/ijraset.2022.40511
Subject(s) - ramanujan's sum , natural number , infinity , mathematics , series (stratigraphy) , number theory , natural (archaeology) , combinatorics , mistake , discrete mathematics , mathematical analysis , history , paleontology , archaeology , political science , law , biology
As we know that Sir Ramanujan gave the solution of sum of all natural numbers up to infinity and said that the sum of all natural numbers till infinity is -1/12. I studied on this topic and found that if we try to solve the infinite series in a slightly different way, then we get the answer of its sum different from -1/12, so this is what I have written in this paper that such Ramanujan Sir, what was the mistake in solving the infinite series, which by solving it in a slightly different way from the same concept, we get different answers. Keywords: Ramanujan the new sum of all natural numbers, Infinite series solution, Gaurav singh patel, Infinite series sum, Natural number sum.