List questions from divergent-series

Published on 22 Nov 2011 - 8:15

783

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For bounded sequences, does convergence of the Abel means imply that for the Cesàro means?

Published on 22 Nov 2011 - 17:34

1.2k

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Is it possible to assign a value to the sum of primes?

Published on 22 Nov 2011 - 17:55

187

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Changing divergent series to convergent by re-ordering denominators

Published on 23 Nov 2011 - 18:17

105

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Prove that $\sum_{n=1}^{\infty}x^n\frac{(n!)^3}{(3n)!}$ converges when $|x|$ < 27 and diverges when $|x| > 27$

Published on 28 Nov 2011 - 18:00

192

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Is $\sum \limits_{n=0}^{\infty}2^n=-1$?

Published on 12 Dec 2011 - 19:30

519

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Regularizing divergent series and Bernoulli numbers

Published on 30 Mar 2026 - 14:55

5.3k

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If $\sum_{1}^{\infty}(a_n)^3$ diverges, does $\sum_{1}^{\infty}(a_n)$?

Published on 05 Jan 2012 - 15:11

738

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Divergent Series

Published on 26 Mar 2026 - 11:23

302

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Summability of divergent series with binomial coefficients

Published on 21 Jan 2012 - 17:25

358

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p-norm of series / Mathematica

Published on 28 Mar 2026 - 0:28

156

Views

Sum over all finite subsets of the integers

Published on 07 Feb 2012 - 11:16

837

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Evaluating $\sum\limits_{n=2}^{\infty} \frac{1}{ GPF(n) GPF(n+1)}\,$, where $\operatorname{ GPF}(n)$ is the greatest prime factor

Published on 07 Feb 2012 - 15:20

367

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An example of divergent series with the Lerch function

Published on 30 Mar 2026 - 16:49

1.3k

Views

Kummer's test - Calculus, Apostol, 10.16 #15.

Published on 01 Mar 2012 - 4:13

List Question

Does the family of series have a limit?

For bounded sequences, does convergence of the Abel means imply that for the Cesàro means?

Is it possible to assign a value to the sum of primes?

Changing divergent series to convergent by re-ordering denominators

Prove that $\sum_{n=1}^{\infty}x^n\frac{(n!)^3}{(3n)!}$ converges when $|x|$ < 27 and diverges when $|x| > 27$

Is $\sum \limits_{n=0}^{\infty}2^n=-1$?

Regularizing divergent series and Bernoulli numbers

If $\sum_{1}^{\infty}(a_n)^3$ diverges, does $\sum_{1}^{\infty}(a_n)$?

Divergent Series

Summability of divergent series with binomial coefficients

p-norm of series / Mathematica

Sum over all finite subsets of the integers

Evaluating $\sum\limits_{n=2}^{\infty} \frac{1}{ GPF(n) GPF(n+1)}\,$, where $\operatorname{ GPF}(n)$ is the greatest prime factor

An example of divergent series with the Lerch function

Kummer's test - Calculus, Apostol, 10.16 #15.

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