Question

How does the divergent sum $\sum_{n=1}^\infty\cos(2n\gamma)\sin(2nt)$ correctly evaluate an integral? Surely distributions don’t apply here

score 140 · Answer 1 · 2022-04-25 17:17:22

140

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How does the divergent sum $\sum_{n=1}^\infty\cos(2n\gamma)\sin(2nt)$ correctly evaluate an integral? Surely distributions don’t apply here

Published on 25 Apr 2022 - 17:17

score 277 · Answer 2 · 2026-02-25 16:36:17

277

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How do I solve the double summation $ \sum_{n=1}^{\infty} \sum_{m=1}^{\infty} \frac{m^2 - n^2}{(m^2 + n^2)^2}$?

Published on 25 Feb 2026 - 16:36

score 104 · Answer 3 · 2022-05-09 13:29:42

104

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How to factorize and solve equations with $\Sigma$ notation?

Published on 09 May 2022 - 13:29

score 69 · Answer 4 · 2022-05-10 21:23:25

69

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Finding the sum of finite geometric series

Published on 10 May 2022 - 21:23

score 179 · Answer 5 · 2022-07-05 11:40:24

179

Views

Watson-Nevanlinna theorem for $e^{-1/z}$

Published on 05 Jul 2022 - 11:40

score 73 · Answer 6 · 2022-07-07 14:02:47

73

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Summation Notation for Current Index

Published on 07 Jul 2022 - 14:02

score 140 · Answer 7 · 2022-07-11 10:27:47

140

Views

Borel summation of a divergent series as the best estimate of a function

Published on 11 Jul 2022 - 10:27

score 108 · Answer 8 · 2026-03-25 10:36:03

108

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Showing $\lim_{x\rightarrow 1^-} \sum_{k=0}^\infty (-x)^k (2k+1) \ln(2k+1) = \frac{-2C}{\pi}$

Published on 25 Mar 2026 - 10:36

score 134 · Answer 9 · 2022-09-19 06:27:55

134

Views

How can I intuitively get from the below summation to a generating function without knowing key identities before hand?

Published on 19 Sep 2022 - 6:27

score 42 · Answer 10 · 2022-10-04 10:33:47

42

Views

Is there a formula for $\sum_{i=1}^n a^{1/i}$?

Published on 04 Oct 2022 - 10:33

score 39 · Answer 11 · 2026-03-25 20:20:28

39

Views

limit of $\sum_{k=0}^{n} q^{(2k+1)^{3/2}}$ with $0<q<1$?

Published on 25 Mar 2026 - 20:20

score 295 · Answer 12 · 2022-11-06 20:30:35

295

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Is there an identity for $\sum_{k=0}^{n-1}\tan^4\left({k\pi\over n}\right)$?

Published on 06 Nov 2022 - 20:30

score 39 · Answer 13 · 2026-03-25 19:00:28

39

Views

Summation in closed form

Published on 25 Mar 2026 - 19:00

score 232 · Answer 14 · 2022-12-09 23:23:39

232

Views

How to prove identity $\sum_{k=0}^{n-1}\tan^2\left(\theta+{k\pi\over n}\right)=n^2\cot^2\left({n\pi\over2}+n\theta\right)+n(n-1)$?

Published on 09 Dec 2022 - 23:23

score 146 · Answer 15 · 2022-12-30 02:41:48

146

Views

Summation of $\sum_{r=1}^n \sin(2r-1)\theta$

Published on 30 Dec 2022 - 2:41

List Question

How does the divergent sum $\sum_{n=1}^\infty\cos(2n\gamma)\sin(2nt)$ correctly evaluate an integral? Surely distributions don’t apply here

How do I solve the double summation $ \sum_{n=1}^{\infty} \sum_{m=1}^{\infty} \frac{m^2 - n^2}{(m^2 + n^2)^2}$?

How to factorize and solve equations with $\Sigma$ notation?

Finding the sum of finite geometric series

Watson-Nevanlinna theorem for $e^{-1/z}$

Summation Notation for Current Index

Borel summation of a divergent series as the best estimate of a function

Showing $\lim_{x\rightarrow 1^-} \sum_{k=0}^\infty (-x)^k (2k+1) \ln(2k+1) = \frac{-2C}{\pi}$

How can I intuitively get from the below summation to a generating function without knowing key identities before hand?

Is there a formula for $\sum_{i=1}^n a^{1/i}$?

limit of $\sum_{k=0}^{n} q^{(2k+1)^{3/2}}$ with $0<q<1$?

Is there an identity for $\sum_{k=0}^{n-1}\tan^4\left({k\pi\over n}\right)$?

Summation in closed form

How to prove identity $\sum_{k=0}^{n-1}\tan^2\left(\theta+{k\pi\over n}\right)=n^2\cot^2\left({n\pi\over2}+n\theta\right)+n(n-1)$?

Summation of $\sum_{r=1}^n \sin(2r-1)\theta$

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