Members of the Forum Algebra produce more than a hundred publications every year. The list below is automatically generated and may not be complete.

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• Shane Chern, Lin Jiu, Italo Simonelli. A central limit theorem for a card shuffling problem. ArXiv 2309.08841v1.
• Bert Lindenhovius, Thomas Vetterlein. A characterisation of orthomodular spaces by Sasaki maps. Int. J. Theor. Phys. 62(3):Paper No. 59, 14 p. .
• Zijia Li, Hans-Peter Schröcker, Johannes Siegele. A Geometric Algorithm for the Factorization of Spinor Polynomials. ArXiv 2310.19325v2.
• Yu. V. Zhuchok, G. F. Pilz. A new model of the free monogenic digroup. Mat. Stud. 59(1):12-19 .
• Christoph Koutschan, Ali K. Uncu, Elaine Wong. A Unified Approach to Unimodality of Gaussian Polynomials. ArXiv 2302.04067v2.
• Christoph Koutschan, Ali K. Uncu, Elaine Wong. A Unified Approach to Unimodality of Gaussian Polynomials. ArXiv 2302.04067v1.
• Deepesh Toshniwal, Nelly Villamizar. Algebraic methods to study the dimension of supersmooth spline spaces. Adv. Appl. Math. 142, Article ID 102412, 30 p. .
• Johannes Siegele, Martin Pfurner. An Overconstrained Vertical Darboux Mechanism. ArXiv 2307.16546v1.
• Johannes Blümlein, Abilio De Freitas, Peter Marquard, Narayan Rana, Carsten Schneider. Analytic results on the massive three-loop form factors: quarkonic contributions. ArXiv 2307.02983v1.
• Matteo Gallet, Georg Grasegger, Niels Lubbes, Josef Schicho. Calligraphs and sphere realizations. ArXiv 2308.15305v1.
• Tewodros Amdeberhan, Victor Moll, John Lopez Santander, Ken McLaughlin, Christoph Koutschan. Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik. ArXiv 2309.02925v1.
• Tewodros Amdeberhan, Victor H. Moll, John Lopez Santander, Ken McLaughlin, Christoph Koutschan. Collisionless shock region of the KdV equation and an entry in Gradshteyn and Ryzhik. Physica D 456, Article ID 133909, 7 p. .
• Johannes Blümlein, Nikolai Fadeev, Carsten Schneider. Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the Rica package. ACM Commun. Comput. Algebra 57(2):31-34 .
• Johannes Bluemlein, Nikolai Fadeev, Carsten Schneider. Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package. ArXiv 2308.06042v1.
• Georg Grasegger, Hakan Guler, Bill Jackson, Anthony Nixon. Corrigendum to: “Flexible circuits in the \(d\)-dimensional rigidity matroid”. J. Graph Theory 103(2):307-308 .
• Roger E. Behrend, Ilse Fischer, Christoph Koutschan. Diagonally symmetric alternating sign matrices. ArXiv 2309.08446v1.
• Johanna Lercher, Daniel Scharler, Hans-Peter Schröcker, Johannes Siegele. Factorization of quaternionic polynomials of bi-degree \((n,1)\). Beitr. Algebra Geom. 64(1):209-232 .
• Kadir Emir, Jan Paseka, Thomas Vetterlein. Finitary prelinear and linear orthosets. Int. J. Theor. Phys. 62(6):Paper No. 123, 17 p. .
• Georg Grasegger, Jan Legerský. Flexibility and rigidity of frameworks consisting of triangles and parallelograms. ArXiv 2305.01570v2.
• Johann Josef Mitteramskogler, Franz Winkler. General solutions of first-order algebraic ODEs in simple constant extensions. J. Syst. Sci. Complex. 36(4):1769-1788 .
• Nurdagül Anbar, Tekgül Kalaycı, Wilfried Meidl. Generalized semifield spreads. Des. Codes Cryptography 91(2):545-562 .
• Sebastian M. Cioabă, Sean Dewar, Georg Grasegger, Xiaofeng Gu. Graph rigidity properties of Ramanujan graphs. Electron. J. Comb. 30(3):Research Paper P3.12, 24 p. .
• Nicki Holighaus, Günther Koliander, Clara Hollomey, Friedrich Pillichshammer. Grid-Based Decimation for Wavelet Transforms with Stably Invertible Implementation. ArXiv 2301.01640v1.
• Shane Chern, Lin Jiu. Hankel determinants and Jacobi continued fractions for $q$-Euler numbers. ArXiv 2305.06623v2.
• Robert Dougherty-Bliss, Manuel Kauers. Hardinian Arrays. ArXiv 2309.00487v1.
• Shaoshi Chen, Lixin Du, Manuel Kauers. Hermite Reduction for D-finite Functions via Integral Bases. ArXiv 2302.04652v1.
• Klara Bernauer, Clemens Hofstadler, Georg Regensburger. How to automatise proofs of operator statements: Moore-Penrose inverse -- a case study. ArXiv 2305.09448v1.
• Klara Bernauer, Clemens Hofstadler, Georg Regensburger. How to automatise proofs of operator statements: Moore-Penrose inverse -- a case study. ArXiv 2305.09448v2.
• J. Blümlein, M. Saragnese, C. Schneider. Hypergeometric structures in Feynman integrals. Ann. Math. Artif. Intell. 91(5):591-649 .
• Sean Dewar. Identifying contact graphs of sphere packings with generic radii is NP-Hard. ArXiv 2302.12588v1.
• Lin Jiu, Linyu Peng. Information geometry and $\alpha$-parallel prior of the beta-logistic distribution. ArXiv 2312.10710v1.
• Ilias S. Kotsireas, Christoph Koutschan, Dursun A. Bulutoglu, David M. Arquette, Jonathan S. Turner, Kenneth J. Ryan. Legendre pairs of lengths \(\ell \equiv 0 \pmod 5\). Spec. Matrices 11, Article ID 20230105, 15 p. .
• Wilfried Meidl, Alexandr A. Polujan, Alexander Pott. Linear codes and incidence structures of bent functions and their generalizations. Discrete Math. 346(1):Article ID 113157, 22 p. .
• Jan Paseka, Thomas Vetterlein. Linear orthosets and orthogeometries. Int. J. Theor. Phys. 62(3):Paper No. 55, 15 p. .
• Maximilian Jaroschek, Manuel Kauers, Laura Kovács. Lonely points in simplices. Discrete Comput. Geom. 69(1):4-25 .
• Zhiru Chen, Zhixiong Chen, Jakob Obrovsky, Arne Winterhof. Maximum-order complexity and $2$-adic complexity. ArXiv 2309.12769v1.
• A. V. Zhuchok, G. F. Pilz. New models for some free algebras of small ranks. Carpathian Math. Publ. 15(1):295-305 .
• Lina Ellis, Ikumi Ellis, Christoph Koutschan, Sergei K. Suslov. On Potentials Integrated by the Nikiforov-Uvarov Method. ArXiv 2303.02560v2.
• Lina Ellis, Ikumi Ellis, Christoph Koutschan, Sergei K. Suslov. On Potentials Integrated by the Nikiforov-Uvarov Method. ArXiv 2303.02560v4.
• Erhard Aichinger, Bernardo Rossi. On the number of universal algebraic geometries. Algebra Univers. 84(1):Paper No. 1, 15 p. .
• Sean Dewar, Georg Grasegger, Kaie Kubjas, Fatemeh Mohammadi, Anthony Nixon. On the uniqueness of collections of pennies and marbles. ArXiv 2307.03525v1.
• Manuel Kauers, Philipp Nuspl, Veronika Pillwein. Order bounds for $C^2$-finite sequences. ArXiv 2302.04070v1.
• Arne Winterhof. Pseudorandom binary sequences: quality measures and number-theoretic constructions. ArXiv 2305.11486v1.
• Tiangang Cui, Josef Dick, Friedrich Pillichshammer. Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation. ArXiv 2304.14786v1.
• J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. Goedicke, A. von Manteuffel, C. Schneider, K. Schönwald. Recent 3-Loop Heavy Flavor Corrections to Deep-Inelastic Scattering. ArXiv 2306.16550v1.
• Shaoshi Chen, Lixin Du, Manuel Kauers, Rong-Hua Wang. Reduction-based Creative Telescoping for P-recursive Sequences via Integral Bases. ArXiv 2311.05246v1.
• Carsten Schneider. Refined telescoping algorithms in $R\Pi\Sigma$-extensions to reduce the degrees of the denominators. ArXiv 2302.03563v1.
• Christoph Koutschan, Bernhard Moser, Anton Ponomarchuk, Josef Schicho. Representing Piecewise Linear Functions by Functions with Small Arity. ArXiv 2305.16933v1.
• Sean Dewar, Derek Kitson. Rigid graphs in cylindrical normed spaces. ArXiv 2305.08421v1.
• Clemens Hofstadler, Thibaut Verron. Short proofs of ideal membership. ArXiv 2302.02832v3.
• Clemens Hofstadler, Thibaut Verron. Short proofs of ideal membership. ArXiv 2302.02832v2.
• Clemens Hofstadler, Thibaut Verron. Signature Gr\"obner bases in free algebras over rings. ArXiv 2302.06483v2.
• Manuel Kauers, Christoph Koutschan. Some D-finite and some Possibly D-finite Sequences in the OEIS. ArXiv 2303.02793v1.
• Manuel Kauers, Christoph Koutschan. Some D-finite and Some Possibly D-finite Sequences in the OEIS. ArXiv 2303.02793v2.
• Manuel Kauers, Jakob Moosbauer. Some New Non-Commutative Matrix Multiplication Algorithms of Size $(n,m,6)$. ArXiv 2306.00882v1.
• Sebastian Falkensteiner, Johann J. Mitteramskogler, J. Rafael Sendra, Franz Winkler. The algebro-geometric method: solving algebraic differential equations by parametrizations. Bull. Am. Math. Soc., New Ser. 60(1):85-122 .
• Friedrich Pillichshammer. The BMO-discrepancy suffers from the curse of dimensionality. ArXiv 2301.06853v3.
• Erich Novak, Friedrich Pillichshammer. The curse of dimensionality for the $L_p$-discrepancy with finite $p$. ArXiv 2303.01787v2.
• J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider, K. Schönwald. The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$. ArXiv 2311.00644v1.
• Clemens G. Raab, Georg Regensburger. The fundamental theorem of calculus in differential rings. ArXiv 2301.13134v2.
• Clemens G. Raab, Georg Regensburger. The fundamental theorem of calculus in differential rings. ArXiv 2301.13134v1.
• Sean Dewar, Georg Grasegger. The number of realisations of a rigid graph in Euclidean and spherical geometries. ArXiv 2309.16416v1.
• Sean Dewar, Georg Grasegger. The number of realisations of a rigid graph in Euclidean and spherical geometries. ArXiv 2309.16416v2.
• Manuel Kauers, Christoph Koutschan, Thibaut Verron. Transcendence Certificates for D-finite Functions. ArXiv 2302.06396v2.
• Manuel Kauers, Christoph Koutschan, Thibaut Verron. Transcendence Certificates for D-finite Functions. ArXiv 2302.06396v1.
• Tewodros Amdeberhan, Christoph Koutschan, Doron Zeilberger. Yay for Determinants!. ArXiv 2307.01912v2.
• Tewodros Amdeberhan, Christoph Koutschan, Doron Zeilberger. Yay for Determinants!. ArXiv 2307.01912v3.
• Erhard Aichinger, Simon Grünbacher, Paul Hametner. Zero testing and equation solving for sparse polynomials on rectangular domains. ArXiv 2305.19669v1.