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What does $1+2+3+...=-\frac{1}{12}$ mean?

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#ramanujan-summation
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The most complex formula for the golden ratio $\varphi$ that I have ever seen. How was it achieved?

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#exponential-function #pi #continued-fractions #golden-ratio #ramanujan-summation
164
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expanding $\prod_{n=1}^{\infty}\frac{(1-x^n)(1-x^{adn})}{(1-x^{dn})}$

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#combinatorics #infinite-product #integer-partitions #ramanujan-summation
636
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How do I derive the Ramanujan Summation of $\sum_{n=1}^{\infty}n^2 = 0$?

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#sequences-and-series #summation #divergent-series #ramanujan-summation
252
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Which Ramanujan's formula used the biggest constants?

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#ramanujan-summation
385
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Vandermonde infinite matrix inverse

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#inverse #infinite-matrices #ramanujan-summation
269
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Proof That $\sum_{k=1}^{n-1}\int_{k}^{k+1}\left\{x\right\}f´(x)dx=\int_{1}^{n}\left\{x\right\}f´(x)dx$

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#integration #summation #euler-maclaurin #ramanujan-summation
920
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Ramanujan summation Series

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#ramanujan-summation
65
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I want to learn about -1/12

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#summation #euler-maclaurin #ramanujan-summation
207
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How to Evaluate $1-5(\frac{1}{2})^3+9(\frac{(1)(3)}{(2)(4)})^3-13(\frac{(1)(3)(5)}{(2)(4)(6)})^3+...$

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#sequences-and-series #gamma-function #ramanujan-summation
194
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If $(a,k)=(b,m)=1$, prove that $(ab,km)=(a,m)(b,k)$.

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#elementary-number-theory #analytic-number-theory #multiplicative-function #ramanujan-summation
150
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Convergence of series and summation methods for divergent series

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#sequences-and-series #complex-analysis #complex-numbers #divergent-series #ramanujan-summation
106
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Why this approximation not complete with me?

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#real-analysis #number-theory #taylor-expansion #stirling-numbers #ramanujan-summation
271
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How to find the value of Grandi's series using Ramanujan's summation

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#calculus #sequences-and-series #divergent-series #ramanujan-summation
196
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Prove this Ramanujan series

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#algebra-precalculus #number-theory #summation #ramanujan-summation

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