# Euler–Maclaurin formula

## Papers overview

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2013

2013

- 2013

Abstract. We compare, in the multidimensional case, the Fourier integral of a function λ of bounded variation and the… (More)

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2012

2012

- 2012

— We study multiple Bernoulli series associated to a sequence of vectors generating a lattice in a vector space. The associated… (More)

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2011

2011

- 2011

A local lattice point counting formula, and more generally a local Euler-Maclaurin formula follow by comparing two natural… (More)

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2009

2009

- 2009

Formulas for the Riemann sums over lattice polytopes determined by the lattice points in the polytopes are often called Euler… (More)

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2007

2007

- 2007

a Bk({1− t}) k! f (t)dt where a and b are arbitrary real numbers with difference b − a being a positive integer number, Bn and bn… (More)

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2007

2007

- 2007

— The Euler-MacLaurin summation formula compares the sum of a function over the lattice points of an interval with its… (More)

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2005

2005

- 2005

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… (More)

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2005

2005

- 2005

Mathematicians have long been intrigued by the sum 1m + 2m + · · · + nm of the first n integers, where m is a nonnegative integer… (More)

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2004

2004

- 2004

The Euler-Maclaurin formula computes the sum of the values of a function f over the integer points in an interval in terms of the… (More)

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1971

1971

- 1971

The usual Euler-Maclaurin expansion [1], [21 contains odd-order derivatives. The one which is proposed here contains only even… (More)

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