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Zeta regularization vs Dirichlet series

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#sequences-and-series #zeta-functions #dirichlet-series #regularization #summation-method
145
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Hausdorff methods of summation

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#sequences-and-series #functional-analysis #reference-request #summation #summation-method
239
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How to solve $\sum_{i=1}^{n} \sin(x_i - \mu) = 0$ for $\mu$? (Maximum likelihood estimation)

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#trigonometry #summation #maximum-likelihood #summation-method
307
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Summation method for $1-3+9-27 + \dots $

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#divergent-series #summation-method
877
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Summation of Double Exponential Series

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#sequences-and-series #summation #exponential-sum #summation-method
1k
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Sum of the series $\frac{1}{2.4.6}+\frac{2}{3.5.7}+\frac{3}{4.6.8}+.....+\frac{n}{(n+1).(n+3).(n+5)}$.

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#calculus #sequences-and-series #summation #summation-method
890
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Sum to n terms the series $\cos \theta+ 2\cos 2\theta+ \cdots + n\cos n\theta$

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#calculus #sequences-and-series #summation #trigonometric-series #summation-method
2.6k
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Sum to n terms of the following series: $2 \cdot 2 + 6 \cdot 4 + 12 \cdot 8 + 20 \cdot 16 + \cdots $

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#calculus #summation #summation-method
60
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Crucial step of converting Fourier series to Fourier transform

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#analysis #fourier-analysis #summation-method
123
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What's the easiest, most concise, way to prove this simple swapping of order of nested summation?

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#summation #summation-method
774
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How to expand summations in this variance proof

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#statistics #summation #proof-explanation #variance #summation-method
78
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How to show that the following relation is valid for nested summation?

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#summation #summation-method #summation-by-parts
234
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Finding a closed formula for $\sum_{i=0}^n 2^i \cdot (n-i)$ through the perturbation method

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#summation #perturbation-theory #summation-method
224
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Getting a closed form from $\sum_{i=1}^{n-1} \sum_{j=i+1}^{n} \sum_{k=1}^{j} 1$

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#summation #closed-form #arithmetic-progressions #summation-method
67
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Resolving dependencies of nested dependent summations

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#summation #arithmetic-progressions #geometric-progressions #summation-method

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