List questions from bernoulli-numbers

Published on 03 Oct 2021 - 16:15

139

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About the functional equation between $\zeta$ and $\Gamma$?

Published on 09 Oct 2021 - 18:38

38

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Functions with Bernoulli Number Product Coefficients

Published on 22 Oct 2021 - 17:58

123

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An equation by the definition of Bernoulli number

Published on 23 Feb 2026 - 12:07

46

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Efficiency of two different estimators (Bernoulli)

Published on 30 Nov 2021 - 0:05

285

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Formula for Stirling numbers expressed with Bernoulli numbers?

Published on 14 Dec 2021 - 19:07

126

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Power series of $x/(1-ae^{-x})$.

Published on 23 Feb 2026 - 8:40

185

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Conjectured analogue of Fermat's Little Theorem for Bernouli numbers

Published on 28 Dec 2021 - 8:00

650

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Proof of sum with Bernoulli poly: $\frac{(-1)^{n+1}}{2}\sum_{k=0}^{n-1} \binom{n-1}{j} B_{n+j}(1/2) \frac{1}{n+j} =4^{-n}-\frac{1}{2n\binom{2n}{n}}$

Published on 23 Feb 2026 - 8:42

391

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The geometric distribution - How many trials occur before we obtain a success doubt

Published on 06 Mar 2022 - 16:53

45

Views

How is possible that non independent events have the same probability?

Published on 10 Mar 2022 - 4:07

72

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Finding the expectation of a stopping time

Published on 02 Apr 2022 - 0:44

89

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Use Bernoulli trials to select random k-length permutations

Published on 15 Apr 2022 - 2:12

38

Views

Asymptotically similar functions with opposite parity, were they considered, are they useful? Case of polynomials

Published on 27 Mar 2026 - 1:47

144

Views

Closed form of $\sum_{k=1}^\infty\frac{k^nB_k}{k!}$

Published on 09 Jun 2022 - 19:21

List Question

Show that $f(x)<1$ for a special $x$

About the functional equation between $\zeta$ and $\Gamma$?

Functions with Bernoulli Number Product Coefficients

An equation by the definition of Bernoulli number

Efficiency of two different estimators (Bernoulli)

Formula for Stirling numbers expressed with Bernoulli numbers?

Power series of $x/(1-ae^{-x})$.

Conjectured analogue of Fermat's Little Theorem for Bernouli numbers

Proof of sum with Bernoulli poly: $\frac{(-1)^{n+1}}{2}\sum_{k=0}^{n-1} \binom{n-1}{j} B_{n+j}(1/2) \frac{1}{n+j} =4^{-n}-\frac{1}{2n\binom{2n}{n}}$

The geometric distribution - How many trials occur before we obtain a success doubt

How is possible that non independent events have the same probability?

Finding the expectation of a stopping time

Use Bernoulli trials to select random k-length permutations

Asymptotically similar functions with opposite parity, were they considered, are they useful? Case of polynomials

Closed form of $\sum_{k=1}^\infty\frac{k^nB_k}{k!}$

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