Publications

2020

[Schneider]

Evaluation of binomial double sums involving absolute values

C. Krattenthaler, C. Schneider

In: Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, in Honour of Peter Paule on his 60th Birthday, V. Pillwein, C. Schneider (ed.), Texts and Monographs in Symbolic Computuation, in press , pp. ?-?. 2020. Springer, arXiv:1607.05314 [math.CO]. [url]
[bib]
@incollection{RISC5970,
author = {C. Krattenthaler and C. Schneider},
title = {{Evaluation of binomial double sums involving absolute values}},
booktitle = {{Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, in Honour of Peter Paule on his 60th Birthday}},
language = {english},
series = {Texts and Monographs in Symbolic Computuation, in press},
pages = {?--?},
publisher = {Springer},
isbn_issn = {?},
year = {2020},
note = {arXiv:1607.05314 [math.CO]},
editor = {V. Pillwein and C. Schneider},
refereed = {yes},
length = {36},
url = {https://arxiv.org/abs/1607.05314}
}
[Schneider]

Minimal representations and algebraic relations for single nested products

C. Schneider

Programming and Computer Software, in press 46(2), pp. ?-?. 2020. ISSN 1608-3261. arXiv:1911.04837 [cs.SC]. [url]
[bib]
@article{RISC6002,
author = {C. Schneider},
title = {{Minimal representations and algebraic relations for single nested products}},
language = {english},
journal = {Programming and Computer Software, in press},
volume = {46},
number = {2},
pages = {?--?},
isbn_issn = {ISSN 1608-3261},
year = {2020},
note = {arXiv:1911.04837 [cs.SC]},
refereed = {yes},
length = {0},
url = {https://arxiv.org/abs/1911.04837}
}
[Schneider]

Three loop QCD corrections to heavy quark form factors

J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider

In: Proceedings of ACAT 2019, to appear, pp. -. 2020. arXiv:1905.03728 [hep-ph]. [url]
[bib]
@inproceedings{RISC6004,
author = {J. Ablinger and J. Blümlein and P. Marquard and N. Rana and C. Schneider},
title = {{Three loop QCD corrections to heavy quark form factors}},
booktitle = {{Proceedings of ACAT 2019}},
language = {english},
volume = {to appear},
pages = {--},
isbn_issn = {?},
year = {2020},
note = {arXiv:1905.03728 [hep-ph]},
editor = {?},
refereed = {no},
length = {9},
url = {https://arxiv.org/abs/1905.03728}
}
[Schneider]

From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms

J. Blümlein, A. Maier, P. Marquard, G. Schäfer, C. Schneider

Physics Letters B 801(135157), pp. 1-8. 2020. ISSN 0370-2693. arXiv:1911.04411 [gr-qc]. [url]
[bib]
@article{RISC6009,
author = {J. Blümlein and A. Maier and P. Marquard and G. Schäfer and C. Schneider},
title = {{From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms}},
language = {english},
journal = {Physics Letters B},
volume = {801},
number = {135157},
pages = {1--8},
isbn_issn = {ISSN 0370-2693},
year = {2020},
note = {arXiv:1911.04411 [gr-qc]},
refereed = {yes},
length = {8},
url = {https://doi.org/10.1016/j.physletb.2019.135157}
}
[Schneider]

Heavy quark form factors at three loops

J. Blümlein, P. Marquard, N. Rana, C. Schneider

In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.)POS(RADCOR2019)013, in press, pp. 1-7. 2020. ISSN 1824-8039. [url]
[bib]
@inproceedings{RISC6014,
author = {J. Blümlein and P. Marquard and N. Rana and C. Schneider},
title = {{Heavy quark form factors at three loops}},
booktitle = {{14th International Symposium on Radiative Corrections (RADCOR2019)}},
language = {english},
volume = {POS(RADCOR2019)013, in press},
pages = {1--7},
isbn_issn = {ISSN 1824-8039},
year = {2020},
editor = {D. Kosower and M. Cacciari},
refereed = {yes},
length = {7},
url = {https://pos.sissa.it/375/013/}
}
[Schneider]

A refined machinery to calculate large moments from coupled systems of linear differential equations

Johannes Blümlein, Peter Marquard, Carsten Schneider

In: 4th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.), POS(RADCOR2019)013, in press , pp. 1-13. 2020. ISSN 1824-8039. arXiv:1912.04390 [cs.SC]. [url]
[bib]
@inproceedings{RISC6015,
author = {Johannes Blümlein and Peter Marquard and Carsten Schneider},
title = {{A refined machinery to calculate large moments from coupled systems of linear differential equations}},
booktitle = {{4th International Symposium on Radiative Corrections (RADCOR2019)}},
language = {english},
series = {POS(RADCOR2019)013, in press},
pages = {1--13},
isbn_issn = {ISSN 1824-8039},
year = {2020},
note = {arXiv:1912.04390 [cs.SC]},
editor = {D. Kosower and M. Cacciari},
refereed = {yes},
length = {13},
url = {https://pos.sissa.it/375/078/}
}
[Schneider]

The Polarized Three-Loop Anomalous Dimensions from a Massive Calculation

A. Behring, J. Blümlein, A. De Freitas, A. Goedicke, S. Klein, A. van Manteuffel, C. Schneider, K. Schönwald

In: 14th International Symposium on Radiative Corrections (RADCOR2019), D. Kosower, M. Cacciari (ed.), POS(RADCOR2019)047, in press arXiv:1911.06189 [hep-ph], pp. 1-10. 2020. ISSN 1824-8039. [url]
[bib]
@inproceedings{RISC6016,
author = {A. Behring and J. Blümlein and A. De Freitas and A. Goedicke and S. Klein and A. van Manteuffel and C. Schneider and K. Schönwald},
title = {{The Polarized Three-Loop Anomalous Dimensions from a Massive Calculation}},
booktitle = {{14th International Symposium on Radiative Corrections (RADCOR2019)}},
language = {english},
series = {POS(RADCOR2019)047, in press},
number = {arXiv:1911.06189 [hep-ph]},
pages = {1--10},
isbn_issn = {ISSN 1824-8039},
year = {2020},
editor = {D. Kosower and M. Cacciari},
refereed = {yes},
length = {10},
url = {https://pos.sissa.it/375/047/}
}
[Schneider]

The three-loop polarized pure singlet operator matrix element with two different masses

J. Ablinger, J. Blümlein, A. De Freitas, M. Saragnese, C. Schneider, K. Schönwald

Nuclear Physics B 952(114916), pp. 1-18. 2020. ISSN 0550-3213. arXiv:1911.11630 [hep-ph]. [url]
[bib]
@article{RISC6017,
author = {J. Ablinger and J. Blümlein and A. De Freitas and M. Saragnese and C. Schneider and K. Schönwald},
title = {{The three-loop polarized pure singlet operator matrix element with two different masses}},
language = {english},
journal = {Nuclear Physics B },
volume = {952},
number = {114916},
pages = {1--18},
isbn_issn = {ISSN 0550-3213},
year = {2020},
note = {arXiv:1911.11630 [hep-ph]},
refereed = {yes},
length = {18},
url = {https://doi.org/10.1016/j.nuclphysb.2020.114916}
}
[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. ?-?. 2020. 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 = {2020},
note = {arXiv:1906.05829 [hep-ph]},
editor = {?},
refereed = {no},
length = {8},
url = {https://arxiv.org/abs/1906.05829}
}

2019

[Ablinger]

Discovering and Proving Infinite Pochhammer Sum Identities

J. Ablinger

Experimental Mathematics, pp. 1-15. 2019. Taylor & Francis, 10.1080/10586458.2019.1627254. [url]
[bib]
@article{RISC5896,
author = {J. Ablinger},
title = {{Discovering and Proving Infinite Pochhammer Sum Identities}},
language = {english},
journal = {Experimental Mathematics},
pages = {1--15},
publisher = {Taylor & Francis},
isbn_issn = {?},
year = {2019},
note = {10.1080/10586458.2019.1627254},
refereed = {yes},
length = {15},
url = {https://doi.org/10.1080/10586458.2019.1627254}
}
[Ablinger]

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$.

J. Ablinger

arXiv. Technical report, 2019. [url]
[bib]
@techreport{RISC5968,
author = {J. Ablinger},
title = {{Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$.}},
language = {english},
year = {2019},
institution = {arXiv},
length = {5},
url = {https://arxiv.org/pdf/1908.06631.pdf}
}
[Berkovich]

Polynomial Identities Implying Capparelli's Partition Theorems

Ali Kemal Uncu, Alexander Berkovich

Accepted - Journal of Number Theory, pp. -. 2019. N/A. [url]
[bib]
@article{RISC5790,
author = {Ali Kemal Uncu and Alexander Berkovich},
title = {{Polynomial Identities Implying Capparelli's Partition Theorems }},
language = {english},
journal = {Accepted - Journal of Number Theory},
pages = {--},
isbn_issn = {N/A},
year = {2019},
refereed = {yes},
length = {21},
url = {https://arxiv.org/pdf/1807.10974.pdf}
}
[Berkovich]

Refined q-Trinomial Coefficients and Two Infinite Hierarchies of q-Series Identities

Ali Kemal Uncu, Alexander Berkovich

ArXiv e-prints (accepted), pp. 1-10. 2019. N/A. [url]
[bib]
@article{RISC5801,
author = {Ali Kemal Uncu and Alexander Berkovich},
title = {{Refined q-Trinomial Coefficients and Two Infinite Hierarchies of q-Series Identities }},
language = {english},
abstract = {We will prove an identity involving refined q-trinomial coefficients. We then extend this identity to two infinite families of doubly bounded polynomial identities using transformation properties of the refined q-trinomials in an iterative fashion in the spirit of Bailey chains. One of these two hierarchies contains an identity which is equivalent to Capparelli's first Partition Theorem. },
journal = {ArXiv e-prints (accepted)},
pages = {1--10},
isbn_issn = {N/A},
year = {2019},
refereed = {yes},
length = {10},
url = {https://arxiv.org/abs/1810.12048}
}
[Capco]

Sum of Squares over Rationals

J. Capco, C. Scheiderer

RISC. Technical report, 2019. [url] [pdf]
[bib]
@techreport{RISC5884,
author = {J. Capco and C. Scheiderer},
title = {{Sum of Squares over Rationals}},
language = {english},
abstract = {Recently it has been shown that a multivariate (homogeneous) polynomialwith rational coefficients that can be written as a sum of squares offorms with real coefficients, is not necessarily a sum of squares offorms with rational coefficients. Essentially, only one constructionfor such forms is known, namely taking the $K/\Q$-norm of a sufficientlygeneral form with coefficients in a number field $K$. Whether thisconstruction yields a form with the desired properties depends onGalois-theoretic properties of $K$ that are not yet well understood.We construct new families of examples, and we shed new light on somewell-known open questions.},
year = {2019},
institution = {RISC},
length = {0},
url = {https://www3.risc.jku.at/~jcapco/public_files/ss18/sosq.html}
}
[Cerna]

Evaluation of the VL Logic (342.208-9) 2018W End of Semester Questionnaire

David M. Cerna

Feburary 2019. [pdf] [xlsx]
[bib]
@techreport{RISC5885,
author = {David M. Cerna},
title = {{Evaluation of the VL Logic (342.208-9) 2018W End of Semester Questionnaire}},
language = {english},
abstract = {In this technical report we cover the choice of layout and intentions behind our end of the semester questionnaire as well as our interpretation of student answers, resulting statistical analysis, and inferences. Our questionnaire is to some extent free-form in that we provide instructions concerning the desired content of the answers but leave the precise formulation of the answer to the student. Our goal, through this approach, was to gain an understanding of how the students viewed there own progress and interest in the course without explicitly guiding them. Towards this end, we chose to have the students draw curves supplemented by short descriptions of important features. We end with a discussion of the benefits and downsides of such a questionnaire as well as what the results entail concerning future iterations of the course. },
year = {2019},
month = {Feburary},
length = {17},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Cerna]

The Castle Game

David M. Cerna

2019. [pdf]
[bib]
@techreport{RISC5886,
author = {David M. Cerna},
title = {{The Castle Game}},
language = {english},
abstract = {A description of a game for teaching certain aspects of first-order logic based on the Drink's Paradox. },
year = {2019},
length = {3},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Cerna]

Manual for AXolotl

David M. Cerna

2019. [pdf] [zip] [jar]
[bib]
@techreport{RISC5887,
author = {David M. Cerna},
title = {{Manual for AXolotl}},
language = {english},
abstract = {In this document we outline how to play our preliminary version of \textbf{AX}olotl. We present a sequence of graphics illustrating the step by step process of playing the game. },
year = {2019},
length = {9},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Cerna]

Higher-Order Pattern Generalization Modulo Equational Theories with a unit element

David M. Cerna and Temur Kutsia

2019. [pdf]
[bib]
@techreport{RISC5918,
author = {David M. Cerna and Temur Kutsia},
title = {{Higher-Order Pattern Generalization Modulo Equational Theories with a unit element}},
language = {english},
abstract = {We consider anti-unification for simply typed lambda terms in theories defined by associativity,commutativity, identity (unit element) axioms and their combinations, and develop a sound andcomplete algorithm which takes two lambda terms and computes their equational generalizations inthe form of higher-order patterns. The problem is finitary: the minimal complete set of suchgeneralizations contains finitely many elements. We define the notion of optimal solution andinvestigate special fragments of the problem for which the optimal solution can be computed in linearor polynomial time.},
year = {2019},
length = {25},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Cerna]

AXolotl: A Self-study Tool for First-order Logic

David Cerna

May 2019. [pdf]
[bib]
@techreport{RISC5936,
author = {David Cerna},
title = {{AXolotl: A Self-study Tool for First-order Logic}},
language = {english},
year = {2019},
month = {May},
length = {4},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}
}
[Cerna]

A Generic Framework for Higher-Order Generalizations

David M. Cerna, Temur Kutsia

In: Proceedings of the 4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019), Herman Geuvers (ed.), Leibniz International Proceedings in Informatics (LIPIcs) 131, pp. 10:1-10:19. 2019. Schloss Dagstuhl, ISSN 1868-8969. [url]
[bib]
@inproceedings{RISC5947,
author = {David M. Cerna and Temur Kutsia},
title = {{A Generic Framework for Higher-Order Generalizations}},
booktitle = {{Proceedings of the 4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019)}},
language = {english},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
volume = {131},
pages = {10:1--10:19},
publisher = {Schloss Dagstuhl},
isbn_issn = {ISSN 1868-8969},
year = {2019},
editor = {Herman Geuvers},
refereed = {yes},
length = {19},
url = {http://dx.doi.org/10.4230/LIPIcs.FSCD.2019.10}
}

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