Multivariate Symbolic Asymptotics [DK13]

Project Lead

Project Duration

01/10/2011 - 31/12/2015

Project URL

Project Website

Publications

2016

Workshop on Symbolic Combinatorics and Algorithmic Differential Algebra

Manuel Kauers, Peter Paule, Greg Reid

ACM Communications in Computer Algebra 50(Issue 1), pp. 27-34. March 2016. 1932-2240. [pdf]
[bib]
@article{RISC5284,
author = {Manuel Kauers and Peter Paule and Greg Reid},
title = {{Workshop on Symbolic Combinatorics and Algorithmic Differential Algebra}},
language = {english},
journal = {ACM Communications in Computer Algebra},
volume = {50},
number = {Issue 1},
pages = {27--34},
isbn_issn = {1932-2240},
year = {2016},
month = {March},
refereed = {no},
length = {8}
}

2014

Ore Polynomials in Sage

Manuel Kauers, Maximilian Jaroschek, Fredrik Johansson

In: Computer Algebra and Polynomials, Jaime Gutierrez, Josef Schicho, Martin Weimann (ed.), Lecture Notes in Computer Science , pp. ?-?. 2014. tba. [pdf] [ps]
[bib]
@inproceedings{RISC4944,
author = {Manuel Kauers and Maximilian Jaroschek and Fredrik Johansson},
title = {{Ore Polynomials in Sage}},
booktitle = {{Computer Algebra and Polynomials}},
language = {english},
abstract = {We present a Sage implementation of Ore algebras. The main features for the mostcommon instances include basic arithmetic and actions; GCRD and LCLM; D-finiteclosure properties; natural transformations between related algebras; guessing;desingularization; solvers for polynomials, rational functions and (generalized)power series. This paper is a tutorial on how to use the package.},
series = {Lecture Notes in Computer Science},
pages = {?--?},
isbn_issn = {tba},
year = {2014},
editor = {Jaime Gutierrez and Josef Schicho and Martin Weimann},
refereed = {yes},
length = {17}
}

Hypercontractive inequalities via SOS, and the Frankl-R\"odl graph

Manuel Kauers, Ryan ODonnell, Li-Yang Tan, Yuan Zhou

In: Proceedings of SODA'14, tba (ed.), pp. ?-?. 2014. tba. [pdf]
[bib]
@inproceedings{RISC4829,
author = {Manuel Kauers and Ryan ODonnell and Li-Yang Tan and Yuan Zhou},
title = {{Hypercontractive inequalities via SOS, and the Frankl-R\"odl graph}},
booktitle = {{Proceedings of SODA'14}},
language = {english},
pages = {?--?},
isbn_issn = {tba},
year = {2014},
editor = {tba},
refereed = {yes},
length = {15}
}

On the length of integers in telescopers for proper hypergeometric terms

Manuel Kauers, Lily Yen

Journal of Symbolic Computation, pp. ?-?. 2014. ISSN 0747-7171. to appear. [pdf] [ps]
[bib]
@article{RISC4955,
author = {Manuel Kauers and Lily Yen},
title = {{On the length of integers in telescopers for proper hypergeometric terms}},
language = {english},
journal = {Journal of Symbolic Computation},
pages = {?--?},
isbn_issn = {ISSN 0747-7171},
year = {2014},
note = {to appear},
refereed = {yes},
length = {15}
}

Computer Algebra

Manuel Kauers

In: Handbook of Combinatorics, Miklos Bona (ed.), pp. ?-?. 2014. Taylor and Francis, tba.
[bib]
@incollection{RISC4956,
author = {Manuel Kauers},
title = {{Computer Algebra}},
booktitle = {{Handbook of Combinatorics}},
language = {english},
pages = {?--?},
publisher = {Taylor and Francis},
isbn_issn = {tba},
year = {2014},
editor = {Miklos Bona},
refereed = {yes},
length = {59}
}

Bounds for D-Finite Closure Properties

Manuel Kauers

In: Proceedings of ISSAC 2014, Katsusuke Nabeshima (ed.), pp. 288-295. 2014. isbn 978-1-4503-2501-1/14/07. [pdf]
[bib]
@inproceedings{RISC4989,
author = {Manuel Kauers},
title = {{Bounds for D-Finite Closure Properties}},
booktitle = {{Proceedings of ISSAC 2014}},
language = {english},
pages = {288--295},
isbn_issn = {isbn 978-1-4503-2501-1/14/07},
year = {2014},
editor = {Katsusuke Nabeshima},
refereed = {yes},
length = {8}
}

On 3-dimensional lattice walks confined to the positive octant

Alin Bostan, Mireille Bousquet-Melou, Manuel Kauers, Stephen Melczer

Annals of Combinatorics, pp. ??-??. 2014. ISSN 0218-0006. to appear. [pdf]
[bib]
@article{RISC5082,
author = {Alin Bostan and Mireille Bousquet-Melou and Manuel Kauers and Stephen Melczer},
title = {{ On 3-dimensional lattice walks confined to the positive octant}},
language = {english},
journal = {Annals of Combinatorics},
pages = {??--??},
isbn_issn = {ISSN 0218-0006},
year = {2014},
note = {to appear},
refereed = {yes},
length = {36}
}

A Generalized Apagodu-Zeilberger Algorithm

Shaoshi Chen, Manuel Kauers, Christoph Koutschan

In: Proceedings of ISSAC 2014, Katsusuke Nabeshima (ed.), pp. 107-114. 2014. ISBN 978-1-4503-2501-1. [pdf]
[bib]
@inproceedings{RISC5034,
author = {Shaoshi Chen and Manuel Kauers and Christoph Koutschan},
title = {{A Generalized Apagodu-Zeilberger Algorithm}},
booktitle = {{Proceedings of ISSAC 2014}},
language = {english},
pages = {107--114},
isbn_issn = {ISBN 978-1-4503-2501-1},
year = {2014},
editor = {Katsusuke Nabeshima},
refereed = {yes},
length = {8}
}

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