# In this paper we obtain some new transformation formula for Ramanujan summation formula and also establish some eta-function identities. we also deduce a

"Ramanujan Summation" · Book (Bog). . Väger 250 g. · imusic.se.

Here's the wikipedia page for further reading: https://en.wikipedia.org/wi * For f2Oˇ the Ramanujan summation of P n 1 f(n) is de ned by XR n 1 f(n) = R f(1) If the series is convergent then P +1 n=1 f(n) denotes its usual sum. 2019-09-27 · This equation doesn’t have a particular name as it has been proven by many mathematicians over the years while simultaneously being labeled a paradoxical equation. Now, to prove the Ramanujan Summation, we have to subtract the sequence ‘ C ‘ from the sequence ‘ B ‘. But Ramanujan was a master of Puranas, Mahabaratha and Ramayana a Hindu Brahmin & Strict Vegetarian and most of the time had no meals very poor at birth.

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Ramanujan är mest känd för att han hade en enastående intuitiv förmåga vad gällde arbete med tal och formler. Ramanujan var enligt sin levnadstecknare P. V. Seshu Aiyar äldsta barnet till en bokhållare hos en klädhandlare i staden Kumbakonam cirka 25 mil sydväst om Chennai och modern var en kvinna med ”utpräglat sunt förnuft” från Erode, troligen är det hans In this paper it will calculated that the Ramanujan summation of the Ln (n) series is: lim┬█ (n→∞) (Ln (1)+Ln (2)+Ln (3)+⋯Ln (n))=Ln (-γ)=Ln (γ)+ (2k+1)πi Being γ the Euler-Mascheroni constant 2019-10-13 · Ramanujan Summation: Is it an Overrated Mistake? 1. Ramanujan, S. (1918). On certain trigonometrical sums and their applications in the theory of numbers. Transactions 2. Numberphile’s YouTube Channel 3.

## In this paper it will calculated that the Ramanujan summation of the Ln (n) series is: lim┬█ (n→∞) (Ln (1)+Ln (2)+Ln (3)+⋯Ln (n))=Ln (-γ)=Ln (γ)+ (2k+1)πi Being γ the Euler-Mascheroni constant

and, conversely, the basic properties of Ramanujan sums enable one to sum series of the form. Köp boken Ramanujan Summation of Divergent Series av Bernard Candelpergher (ISBN 9783319636290) hos Adlibris. Fri frakt.

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Lectures notes in mathematics What does the equation ζ(−1) = −1/12 represent precisely? It's impossible for that to be the sum of all natural numbers. And it is also mentioned in all the maths articles that the 'equal to' in the equation should not be understood in a traditional way.

Srinivasa Ramanujan. So where does the -1/12 come from?

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Following Ramanujan, to put these identities in the simplest form it is necessary to extend the domain of σ p (n) to include zero, by setting

n!3(3n)!

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### What does the equation ζ(−1) = −1/12 represent precisely? It's impossible for that to be the sum of all natural numbers. And it is also mentioned in all the maths articles that the 'equal to' in the equation should not be understood in a traditional way. If so, then why wikipedia article

For Euler and Ramanujan it is just -1/12. Conclusion . Even though Ramanujan Summation was estimated as -1/12 by Euler and Ramanujan if it is . Hardy later told the now-famous story that he once visited Ramanujan at a nursing home, telling him that he came in a taxicab with number 1729, and saying that it seemed to him a rather dull number—to which Ramanujan replied: “No, it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different Srinivasa Ramanujan FRS (/ ˈ s r ɪ n ɪ v ɑː s r ɑː ˈ m ɑː n ʊ dʒ ən / , Tamil: சீனிவாச இராமானுசன் ; born Srinivasa Ramanujan Aiyangar ; 22 December 1887 – 26 April 1920) was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics , he made substantial contributions to What most surprised me is discovering that the Ramanujan summation is used in string theory and quantum mechanics.