# Foundations of the Theory of Probability e-bok av A.N.

Srinivasa Aiyangar Ramanujan - Wikidata

Twenty examples are illustrated including several new RR identities. 2005-01-01 · Combinatorial proofs of Ramanujan's 1 ψ 1 summation and the q-Gauss summation J. Combin.Theory Ser. A. , 105 ( 2004 ) , pp. 63 - 77 Article Download PDF View Record in Scopus Google Scholar 拉马努金求和（英语：Ramanujan summation）是由数学家斯里尼瓦瑟·拉马努金所发明的数学技巧，指派一特定值予无限发散级数。 尽管拉马努金求和不是传统的 和 的概念，其在探讨发散级数上极有用处；因为在此情形下，传统的求和方式是无法定义的。 Template:Expert-subject Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to infinite divergent series.Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties which make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined. The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. Ramanujan summation.

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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. If I am right and the sum is actually –3/32, then we are in trouble here, because this implies that some statements of string theory are based on an incorrect result. Ramanujan summation of divergent series B Candelpergher To cite this version: B Candelpergher. Ramanujan summation of divergent series. Lectures notes in mathematics What does the equation ζ(−1) = −1/12 represent precisely?

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## Topics and Methods in q-Series i Apple Books

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. Ramanujan summation.

### Srinivasa Aiyangar Ramanujan - Wikidata

Ramanujan-Rademachers sats. Senare höll han också alla inringade A summeras och ger sannolikheten för att A vinner och (1+xx)^0.5 Euler (1773) 1+(3xx)/(10+(4-3xx)^0.5) Ramanujan (1914) Referee för The Ramanujan Journal. 16. Referee för Electronic Journal of combinatorics summation theorem. Far East J. Math. Sci. (FJMS) 17, No.3, 299-303 Johan Andersson, SU: A Poisson summation formula for SL(2, Z). as follows: First use properties of Ramanujan and Kloostermann sums to express the sum as Sum Primes. Mattias Larssonmath Ramanujan and The world of Pi | Amazing Science.

This video will explain how to get that sum. Se hela listan på medium.com
Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series. Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties which make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined.

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Ramanujan summation is a way to assign a finite value to a divergent series. Ramanujan summation allows you to manipulate sums without worrying about operations on infinity that would be considered wrong.

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Vol. 13, p. 133- Ramanujan Journal.

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### Hjalmar Rosengren Göteborgs universitet

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