[Ablinger]
Extensions of the AZ-algorithm and the Package MultiIntegrate
J. Ablinger
Technical report no. 21-02 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Schloss Hagenberg, 4232 Hagenberg, Austria. 2021. [pdf] [bib]
@techreport{RISC6272,
author = {J. Ablinger},
title = {{Extensions of the AZ-algorithm and the Package MultiIntegrate}},
language = {english},
number = {21-02},
year = {2021},
length = {25},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Dundua]
Variadic equational matching in associative and commutative theories
Besik Dundua, Temur Kutsia, Mircea Marin
Journal of Symbolic Computation 106, pp. 78-109. 2021. Elsevier, ISSN 0747-7171. [url] [pdf] [bib]
@article{RISC6260,
author = {Besik Dundua and Temur Kutsia and Mircea Marin},
title = {{Variadic equational matching in associative and commutative theories}},
language = {english},
journal = {Journal of Symbolic Computation},
volume = {106},
pages = {78--109},
publisher = {Elsevier},
isbn_issn = {ISSN 0747-7171},
year = {2021},
refereed = {yes},
length = {32},
url = {https://doi.org/10.1016/j.jsc.2021.01.001}
}
[Grasegger]
Combinatorics of Bricard's octahedra
M. Gallet, G. Grasegger, J. Legerský, J. Schicho
Comptes Rendus. Mathématique 359(1), pp. 7-38. 2021. Académie des sciences, Paris, ISSN 1631-073X. [url] [bib]
@article{RISC6288,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{Combinatorics of Bricard's octahedra}},
language = {english},
journal = {Comptes Rendus. Mathématique},
volume = {359},
number = {1},
pages = {7--38},
publisher = {Académie des sciences, Paris},
isbn_issn = {ISSN 1631-073X},
year = {2021},
refereed = {yes},
length = {32},
url = {https://doi.org/10.5802/crmath.132}
}
[Grasegger]
On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere
M. Gallet, G. Grasegger, J. Legerský, J. Schicho
SIAM Journal on Discrete Mathematics 35(1), pp. 325-361. 2021. ISSN 0895-4801. [url] [bib]
@article{RISC6290,
author = {M. Gallet and G. Grasegger and J. Legerský and J. Schicho},
title = {{On the Existence of Paradoxical Motions of Generically Rigid Graphs on the Sphere}},
language = {english},
journal = {SIAM Journal on Discrete Mathematics},
volume = {35},
number = {1},
pages = {325--361},
isbn_issn = {ISSN 0895-4801},
year = {2021},
refereed = {yes},
length = {37},
url = {https://doi.org/10.1137/19M1289467}
}
[Jebelean]
A Heuristic Prover for Elementary Analysis in Theorema
Tudor Jebelean
Technical report no. 21-07 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Schloss Hagenberg, 4232 Hagenberg, Austria. April 2021. [pdf] [bib]
@techreport{RISC6293,
author = {Tudor Jebelean},
title = {{A Heuristic Prover for Elementary Analysis in Theorema}},
language = {english},
abstract = {We present the application of certain heuristic techniques for the automation of proofs in elementary analysis. the techniques used are: the S-decomposition method for formulae with alternating quantifiers, quantifier elimination by cylindrical algebraic decomposition, analysis of terms behavior in zero, bounding the [Epsilon]-bounds, semantic simplification of expressions involving absolute value, polynomial arithmetic, usage of equal arguments to arbitrary functions, and automatic reordering of proof steps in order to check the admisibility of solutions to the metavariables. The proofs are very similar to those produced automatically, but they are edited for readability and aspect, and also for inserting the appropriate explanation about the use of the proof techniques. The proofs are: convergence of product of two sequences, continuity of the sum of two functions, uniform continuity of the sum of two functions, uniform continuity of the product of two functions, and continuity of the composition of functions.},
number = {21-07},
year = {2021},
month = {April},
length = {29},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Legersky]
On the maximal number of real embeddings of minimally rigid graphs in R2, R3 and S2
E. Bartzos, I.Z. Emiris, J. Legerský, E. Tsigaridas
Journal of Symbolic Computation 102, pp. 189-208. 2021. ISSN 0747-7171. [url] [bib]
@article{RISC5992,
author = {E. Bartzos and I.Z. Emiris and J. Legerský and E. Tsigaridas},
title = {{On the maximal number of real embeddings of minimally rigid graphs in R2, R3 and S2}},
language = {english},
journal = {Journal of Symbolic Computation},
volume = {102},
pages = {189--208},
isbn_issn = {ISSN 0747-7171},
year = {2021},
refereed = {yes},
length = {20},
url = {https://doi.org/10.1016/j.jsc.2019.10.015}
}
[Maletzky]
A generic and executable formalization of signature-based Gröbner basis algorithms
Alexander Maletzky
J. Symb. Comput. 106, pp. 23-47. 2021. Elsevier, ISSN 0747-7171. arXiv:2012.02239 [cs.SC], https://doi.org/10.1016/j.jsc.2020.12.001. [url] [bib]
@article{RISC6225,
author = {Alexander Maletzky},
title = {{A generic and executable formalization of signature-based Gröbner basis algorithms}},
language = {english},
journal = {J. Symb. Comput.},
volume = {106},
pages = {23--47},
publisher = {Elsevier},
isbn_issn = {ISSN 0747-7171},
year = {2021},
note = {arXiv:2012.02239 [cs.SC], https://doi.org/10.1016/j.jsc.2020.12.001},
refereed = {yes},
length = {25},
url = {https://arxiv.org/abs/2012.02239}
}
[Paule]
An Invitation to Analytic Combinatorics
Peter Paule (ed.), Stephen Melczer
Texts and Monographs in Symbolic Computation 1st edition, 2021. Springer, 978-3-030-67080-1. [bib]
@book{RISC6277,
author = {Peter Paule (ed.) and Stephen Melczer},
title = {{An Invitation to Analytic Combinatorics}},
language = {english},
series = {Texts and Monographs in Symbolic Computation},
publisher = {Springer},
isbn_issn = {978-3-030-67080-1},
year = {2021},
edition = {1st},
translation = {0},
length = {405}
}
[Schneider]
The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra
C. Schneider
Mathematics in Computer Science , appeared electronically, pp. ?-?. 2021. ISSN 1661-8289. arXiv:2003.01921 [math.CO]. [url] [bib]
@article{RISC6127,
author = {C. Schneider},
title = {{The Absent-Minded Passengers Problem: A Motivating Challenge Solved by Computer Algebra}},
language = {english},
journal = {Mathematics in Computer Science , appeared electronically},
pages = {?--?},
isbn_issn = {ISSN 1661-8289},
year = {2021},
note = {arXiv:2003.01921 [math.CO]},
refereed = {yes},
length = {12},
url = {https://doi.org/10.1007/s11786-020-00494-w}
}
[Schneider]
Three loop heavy quark form factors and their asymptotic behavior
J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider
In: To appear in Proc.of 23rd DAE-BRNS High Energy Physics Symposium 2018, , pp. ?-?. 2021. arXiv:1906.05829 [hep-ph]. [url] [bib]
@inproceedings{RISC6024,
author = {J. Ablinger and J. Blümlein and P. Marquard and N. Rana and C. Schneider},
title = {{Three loop heavy quark form factors and their asymptotic behavior}},
booktitle = {{To appear in Proc.of 23rd DAE-BRNS High Energy Physics Symposium 2018}},
language = {english},
pages = {?--?},
isbn_issn = {?},
year = {2021},
note = {arXiv:1906.05829 [hep-ph]},
editor = {?},
refereed = {yes},
length = {8},
url = {https://arxiv.org/abs/1906.05829}
}
[Schneider]
A case study for ζ(4)
Carsten Schneider, Wadim Zudilin
In: Proceedings of the conference 'Transient Transcendence in Transylvania', Alin Bostan and Kilian Raschel (ed.), Proceedings in Mathematics & Statistics , pp. ?-?. 2021. Springer, arXiv:2004.08158 [math.NT]. [url] [bib]
@incollection{RISC6210,
author = {Carsten Schneider and Wadim Zudilin},
title = {{A case study for ζ(4)}},
booktitle = {{Proceedings of the conference 'Transient Transcendence in Transylvania'}},
language = {english},
series = {Proceedings in Mathematics & Statistics},
pages = {?--?},
publisher = {Springer},
isbn_issn = {?},
year = {2021},
note = {arXiv:2004.08158 [math.NT]},
editor = {Alin Bostan and Kilian Raschel},
refereed = {no},
length = {0},
url = {https://arxiv.org/abs/2004.08158}
}
[Schneider]
On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in ΠΣ∗-field extensions
Sergei A. Abramov, Manuel Bronstein, Marko Petkovšek, Carsten Schneider
J. Symb. Comput. 107, pp. 23-66. 2021. ISSN 0747-7171. arXiv:2005.04944 [cs.SC]. [url] [bib]
@article{RISC6224,
author = {Sergei A. Abramov and Manuel Bronstein and Marko Petkovšek and Carsten Schneider},
title = {{On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in ΠΣ∗-field extensions}},
language = {english},
journal = {J. Symb. Comput.},
volume = {107},
pages = {23--66},
isbn_issn = {ISSN 0747-7171},
year = {2021},
note = {arXiv:2005.04944 [cs.SC]},
refereed = {yes},
length = {44},
url = {https://doi.org/10.1016/j.jsc.2021.01.002}
}
[Schneider]
The Polarized Transition Matrix Element $A_{g, q}(N)$ of the Variable Flavor Number Scheme at $O(alpha_s^3)$
A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, K. Schönwald, and C. Schneider
Nuclear Physics B 964, pp. 115331-115356. 2021. ISSN 0550-3213. arXiv:2101.05733 [hep-ph]. [url] [bib]
@article{RISC6278,
author = {A. Behring and J. Blümlein and A. De Freitas and A. von Manteuffel and K. Schönwald and and C. Schneider},
title = {{The Polarized Transition Matrix Element $A_{g,q}(N)$ of the Variable Flavor Number Scheme at $O(alpha_s^3)$}},
language = {english},
journal = {Nuclear Physics B},
volume = {964},
pages = {115331--115356},
isbn_issn = {ISSN 0550-3213},
year = {2021},
note = {arXiv:2101.05733 [hep-ph]},
refereed = {yes},
length = {26},
url = {https://doi.org/10.1016/j.nuclphysb.2021.115331}
}
[Schneider]
Solving linear difference equations with coefficients in rings with idempotent representations
J. Ablinger, C. Schneider
Technical report no. 21-04 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Schloss Hagenberg, 4232 Hagenberg, Austria. 2021. [pdf] [bib]
@techreport{RISC6284,
author = {J. Ablinger and C. Schneider},
title = {{Solving linear difference equations with coefficients in rings with idempotent representations}},
language = {english},
number = {21-04},
year = {2021},
length = {8},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Schneider]
Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation
C. Schneider
In: Anti-Differentiation and the Calculation of Feynman Amplitudes, J. Blümlein and C. Schneider (ed.), Texts and Monographs in Symbolic Computuation to appear, pp. ?-?. 2021. Springer, arXiv:2102.01471 [cs.SC], RISC-Linz Report Series No. 21-03. [url] [bib]
@incollection{RISC6287,
author = {C. Schneider},
title = {{Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation}},
booktitle = {{Anti-Differentiation and the Calculation of Feynman Amplitudes}},
language = {english},
series = {Texts and Monographs in Symbolic Computuation},
volume = {to appear},
pages = {?--?},
publisher = {Springer},
isbn_issn = {?},
year = {2021},
note = {arXiv:2102.01471 [cs.SC], RISC-Linz Report Series No. 21-03},
editor = {J. Blümlein and C. Schneider},
refereed = {yes},
length = {55},
url = {https://arxiv.org/abs/2102.01471}
}
[Schneider]
The Logarithmic Contributions to the Polarized $O(alpha_s^3)$ Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering
J. Blümlein, A. De Freitas, M. Saragnese, K. Schönwald, C. Schneider
Technical report no. 21-06 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Schloss Hagenberg, 4232 Hagenberg, Austria. 2021. [pdf] [bib]
@techreport{RISC6292,
author = {J. Blümlein and A. De Freitas and M. Saragnese and K. Schönwald and C. Schneider},
title = {{The Logarithmic Contributions to the Polarized $O(alpha_s^3)$ Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering}},
language = {english},
number = {21-06},
year = {2021},
length = {86},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Ablinger]
Proving Two Conjectural Series for $\zeta(7)$ and Discovering More Series for $\zeta(7)$
J. Ablinger
In: Mathematical Aspects of Computer and Information Science, D. Slamanig, E. Tsigaridas, Z. Zafeirakopoulos (ed.), pp. 42-47. 2020. Springer International Publishing, 978-3-030-43120-4. [url] [bib]
@inproceedings{RISC6102,
author = {J. Ablinger},
title = {{Proving Two Conjectural Series for $\zeta(7)$ and Discovering More Series for $\zeta(7)$}},
booktitle = {{Mathematical Aspects of Computer and Information Science}},
language = {english},
pages = {42--47},
publisher = {Springer International Publishing},
isbn_issn = {978-3-030-43120-4},
year = {2020},
editor = {D. Slamanig and E. Tsigaridas and Z. Zafeirakopoulos},
refereed = {yes},
length = {6},
url = {https://arxiv.org/abs/1908.06631v1}
}
[Ablinger]
Subleading logarithmic QED initial state corrections to $e^+e^−\to γ^⁎/Z^{0⁎}$ to $O(\alpha^6L^5)$
J. Ablinger, J. Blümlein, A. De Freitas, K. Schönwald
Nuclear Physics B 955, pp. 115045-115045. 2020. ISSN 0550-3213. [url] [bib]
@article{RISC6111,
author = {J. Ablinger and J. Blümlein and A. De Freitas and K. Schönwald},
title = {{Subleading logarithmic QED initial state corrections to $e^+e^−\to γ^⁎/Z^{0⁎}$ to $O(\alpha^6L^5)$}},
language = {english},
journal = {Nuclear Physics B},
volume = {955},
pages = {115045--115045},
isbn_issn = { ISSN 0550-3213},
year = {2020},
refereed = {yes},
length = {0},
url = {http://www.sciencedirect.com/science/article/pii/S0550321320301310}
}
[AUTHOR]
The Sage Package Comb_walks for Walks in the Quarter Plane
Antonio Jiménez-Pastor, Alin Bostan, Frédéric Chyzak, Pierre Lairez
ACM Commun. Comput. Algebra 54(2), pp. 30-38. sep 2020. Association for Computing Machinery, New York, NY, USA, 1932-2240. [url] [bib]
@article{RISC6282,
author = {Antonio Jiménez-Pastor and Alin Bostan and Frédéric Chyzak and Pierre Lairez},
title = {{The Sage Package Comb_walks for Walks in the Quarter Plane}},
language = {english},
abstract = {We present in this extended abstract a new software designed to work with generating functions that count walks in the quarter plane. With this software we offer a cohesive package that brings together all the required procedures for manipulating these generating functions, as well as a unified interface to deal with them. We also display results that this package offers on a public webpage.},
journal = {ACM Commun. Comput. Algebra},
volume = {54},
number = {2},
pages = {30--38},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
isbn_issn = {1932-2240},
year = {2020},
month = {sep},
refereed = {yes},
keywords = {Sage, D-algebraic functions, generating functions, elliptic functions, lattice walks},
length = {9},
url = {https://doi.org/10.1145/3427218.3427220}
}
[Banerjee]
Hook Type Tableaux and Partition Identities
Koustav Banerjee, Manosij Ghosh Dastidar
Research Institute for Symbolic Computation. Technical report, 2020. Preprint. [pdf] [bib]
@techreport{RISC6118,
author = {Koustav Banerjee and Manosij Ghosh Dastidar},
title = {{Hook Type Tableaux and Partition Identities}},
language = {english},
abstract = {In this paper we exhibit the box-stacking principle (BSP) in conjunction with Young diagrams to prove generalizations of the Stanley’s and Elder’s theorem without the use of partition statistics in general. We explain how the principle can be used to prove another interesting theorem on partitions with parts separated by parity, a special case of which is George Andrews’s result in [2].},
year = {2020},
note = {Preprint},
institution = {Research Institute for Symbolic Computation},
length = {19}
}
