Ramanujan Sum of All Natural Numbers without Grandi Series

Kute Ash

Abstract: We are all know that the Ramanujan?s theory of calculating the sum of all the natural number. When we came to known that sum of all-natural number is(-1)/12, that time everyone thinks about two things, one is how it possible that sum of positive number is negative & other is how it is very close to zero. Another research paper gives value of all natural number is 1/12 then I started the study of this sum, then I find it is as zero. Quit interestingly but this value has more important than Ramanujan?s sum because I did not consider the Grandi series for calculating this sum. And then it is very easy to calculate the sum of negative integer & sum of all odd natural number & sum of all even natural number.

Keywords: Ramanujan, sum of natural numbers, negative value, Grandi series, research, odd natural number, even natural number

How to Cite?: Kute Ash, "Ramanujan Sum of All Natural Numbers without Grandi Series", Volume 13 Issue 4, April 2024, International Journal of Science and Research (IJSR), Pages: 1326-1327, https://www.ijsr.net/getabstract.php?paperid=SR24321135426, DOI: https://dx.doi.org/10.21275/SR24321135426