List questions from euler-maclaurin

Published on 26 May 2023 - 17:59

84

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Maclaurin series without Bernoulli or Euler numbers?

Published on 03 Jul 2023 - 0:29

45

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What functions satisfy Euler-Maclaurin Summation formula and approach zero?

Published on 08 Jul 2023 - 15:37

49

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Exercise I.0.9 from Tenenbaum's "Introduction to analytic and probabilistic number theory"

Published on 21 Jul 2023 - 3:59

197

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Why series expansion doesn’t work

Published on 23 Aug 2023 - 1:06

93

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The asymptotic $\prod_{k=1}^n\int_{(k-1)/n}^{k/n}f(t)\mathrm{d}t\sim A/(Bn)^n$

Published on 06 Jan 2024 - 20:59

26

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Does the approximation related to the generalized quadratic Gauss sums hold?

Published on 13 Jan 2024 - 17:06

31

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Question on transforming a sum to an integral using the Euler–Maclaurin formula.

Published on 28 Jan 2024 - 15:02

32

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How to express $\sum_{i=0}^{m} \exp [(\frac{a}{b+c+i})^2] $ in terms of an integral?

Published on 28 Jan 2024 - 16:40

1.5k

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How to find the restricted partition of n into k distincts parts between a finite set [1;r]?

Published on 13 Jan 2015 - 20:44

224

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How to expand $\log(z)^{-n}$?

Published on 18 Feb 2015 - 14:19

1.1k

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Euler-Maclaurin Summation

Published on 16 Jun 2015 - 15:12

752

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A derivation of the Euler-Maclaurin formula?

Published on 26 Jun 2015 - 15:40

137

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How can $\sum_{n=a}^b n^{1.5}$ be expressed in closed form?

Published on 15 Sep 2015 - 5:57

54

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Is there a good way to compute this integral?

Published on 17 Oct 2015 - 20:29

List Question

New series expansion formula?

Maclaurin series without Bernoulli or Euler numbers?

What functions satisfy Euler-Maclaurin Summation formula and approach zero?

Exercise I.0.9 from Tenenbaum's "Introduction to analytic and probabilistic number theory"

Why series expansion doesn’t work

The asymptotic $\prod_{k=1}^n\int_{(k-1)/n}^{k/n}f(t)\mathrm{d}t\sim A/(Bn)^n$

Does the approximation related to the generalized quadratic Gauss sums hold?

Question on transforming a sum to an integral using the Euler–Maclaurin formula.

How to express $\sum_{i=0}^{m} \exp [(\frac{a}{b+c+i})^2] $ in terms of an integral?

How to find the restricted partition of n into k distincts parts between a finite set [1;r]?

How to expand $\log(z)^{-n}$?

Euler-Maclaurin Summation

A derivation of the Euler-Maclaurin formula?

How can $\sum_{n=a}^b n^{1.5}$ be expressed in closed form?

Is there a good way to compute this integral?

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