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Research Paper | Mathematics | India | Volume 13 Issue 4, April 2024 | Popularity: 5.4 / 10

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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

Edition: Volume 13 Issue 4, April 2024

Pages: 1326 - 1327

DOI: https://www.doi.org/10.21275/SR24321135426

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