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New series expansion formula?

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#calculus #sequences-and-series #reference-request #summation #euler-maclaurin
87
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Maclaurin series without Bernoulli or Euler numbers?

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#sequences-and-series #taylor-expansion #power-series #bernoulli-numbers #euler-maclaurin
48
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What functions satisfy Euler-Maclaurin Summation formula and approach zero?

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#calculus #sequences-and-series #summation #euler-maclaurin
52
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Exercise I.0.9 from Tenenbaum's "Introduction to analytic and probabilistic number theory"

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#fourier-analysis #analytic-number-theory #infinite-product #integer-partitions #euler-maclaurin
201
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Why series expansion doesn’t work

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#calculus #solution-verification #fake-proofs #euler-maclaurin
96
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The asymptotic $\prod_{k=1}^n\int_{(k-1)/n}^{k/n}f(t)\mathrm{d}t\sim A/(Bn)^n$

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#real-analysis #integration #numerical-methods #asymptotics #euler-maclaurin
29
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Does the approximation related to the generalized quadratic Gauss sums hold?

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#integration #summation #approximation #euler-maclaurin
34
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Question on transforming a sum to an integral using the Euler–Maclaurin formula.

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#calculus #integration #summation #power-series #euler-maclaurin
35
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How to express $\sum_{i=0}^{m} \exp [(\frac{a}{b+c+i})^2] $ in terms of an integral?

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#calculus #integration #summation #power-series #euler-maclaurin
1.5k
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How to find the restricted partition of n into k *distincts* parts between a finite set [1;r]?

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#combinatorics #number-theory #integer-partitions #euler-maclaurin
228
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How to expand $\log(z)^{-n}$?

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#sequences-and-series #complex-analysis #limits #summation #euler-maclaurin
1.1k
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Euler-Maclaurin Summation

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#summation #asymptotics #euler-maclaurin
755
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A derivation of the Euler-Maclaurin formula?

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#calculus #sequences-and-series #analysis #taylor-expansion #euler-maclaurin
140
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How can $\sum_{n=a}^b n^{1.5}$ be expressed in closed form?

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#sequences-and-series #euler-maclaurin
55
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Is there a good way to compute this integral?

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#real-analysis #integration #sequences-and-series #computational-mathematics #euler-maclaurin

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