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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• Mark Pankov, Thomas Vetterlein. A geometric approach to Wigner-type theorems. Bull. Lond. Math. Soc. 53(6):1653-1662 .
• Jiayue Qi. A graphical algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero. ArXiv 2102.03575v1.
• Michael DiPasquale, Nelly Villamizar. A lower bound for splines on tetrahedral vertex stars. SIAM J. Appl. Algebra Geom. 5(2):250-277 .
• Matteo Gallet, Josef Schicho. A new line-symmetric mobile infinity-pod. ArXiv 2103.16472v1.
• Jiayue Qi. A tree-based algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero. ArXiv 2101.03789v3.
• Cathy Swaenepoel, Arne Winterhof. Additive double character sums over some structured sets and applications. Acta Arith. 199(2):135-143 .
• Dragana S. Cvetković-Ilić, Clemens Hofstadler, Jamal Hossein Poor, Jovana Milošević, Clemens G. Raab, Georg Regensburger. Algebraic proof methods for identities of matrices and operators: improvements of Hartwig’s triple reverse order law. Appl. Math. Comput. 409, Article ID 126357, 10 p. .
• Thomas Stigger, Johannes Siegele, Daniel F. Scharler, Martin Pfurner, Manfred L. Husty. Analysis of a 3-RUU Parallel Manipulator. ArXiv 2103.09037v1.
• Nurdagül Anbar, Tekgül Kalaycı, Wilfried Meidl. Analysis of \((n,n)\)-functions obtained from the Maiorana-McFarland class. IEEE Trans. Inf. Theory 67(7):4891-4901 .
• Christoph Koutschan, Wadim Zudilin. Ap\'ery limits for elliptic $L$-values. ArXiv 2111.08796v1.
• Huaning Liu, Arne Winterhof. Balance and pattern distribution of sequences derived from pseudorandom subsets of $\mathbb{Z}_q$. ArXiv 2111.05662v1.
• Huaning Liu, Arne Winterhof. Balance and pattern distribution of sequences derived from pseudorandom subsets of \(\mathbb{Z}_q\). Unif. Distrib. Theory 16(2):89-108 .
• Wilfried Meidl, Isabel Pirsic. Bent and \(\mathbb{Z}_{2^k}\)-bent functions from spread-like partitions. Des. Codes Cryptography 89(1):75-89 .
• Arne Winterhof, Zibi Xiao. Binary sequences derived from differences of consecutive primitive roots. IEEE Trans. Inf. Theory 67(8):5334-5338 .
• Arne Winterhof, Zibi Xiao. Binary Sequences Derived from Differences of Consecutive Primitive Roots. ArXiv 2105.08003v1.
• Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda, Elaine Wong. Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz. ArXiv 2105.08539v1.
• Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda, Elaine Wong. Binomial Determinants for Tiling Problems Yield to the Holonomic Ansatz. ArXiv 2105.08539v2.
• Erhard Aichinger, Jakob Moosbauer. Chevalley-Warning type results on abelian groups. J. Algebra 569, 30-66 .
• Matteo Gallet, Georg Grasegger, Jan Legerský, Josef Schicho. Combinatorics of Bricard’s octahedra. (Combinatoire des octaèdres de Bricard.) C. R., Math., Acad. Sci. Paris 359(1):7-38 .
• Johannes Middeke, David J. Jeffrey, Christoph Koutschan. Common factors in fraction-free matrix decompositions. Math. Comput. Sci. 15(4):589-608 .
• Clemens Hofstadler, Clemens G. Raab, Georg Regensburger. Computing elements of certain form in ideals to prove properties of operators. ArXiv 2110.12933v1.
• Clemens Hofstadler, Clemens G. Raab, Georg Regensburger. Computing elements of certain form in ideals to prove properties of operators. ArXiv 2110.12933v2.
• Christoph Koutschan, Elaine Wong. Creative telescoping on multiple sums. Math. Comput. Sci. 15(3):483-498 .
• Ralph Kritzinger, Friedrich Pillichshammer. Exact order of extreme $L_p$ discrepancy of infinite sequences in arbitrary dimension. ArXiv 2109.06461v1.
• Johannes Siegele, Martin Pfurner, Hans-Peter Schröcker. Factorization of dual quaternion polynomials without study’s condition. Adv. Appl. Clifford Algebr. 31(2):Paper No. 22, 17 p. .
• Sean Dewar, Jan Legerský. Flexing infinite frameworks with applications to braced Penrose tilings. ArXiv 2110.01854v1.
• Sean Dewar, Jan Legerský. Flexing infinite frameworks with applications to braced Penrose tilings. ArXiv 2110.01854v2.
• Clemens G. Raab, Georg Regensburger, Jamal Hossein Poor. Formal proofs of operator identities by a single formal computation. J. Pure Appl. Algebra 225(5):Article ID 106564, 21 p. .
• Sean Dewar, Anthony Nixon. Generalised rigid body motions in non-Euclidean planes with applications to global rigidity. ArXiv 2108.06484v1.
• Erhard Aichinger, Sebastian Kreinecker. Generating integer polynomials from \(X^2\) and \(X^3\) using function composition: a study of subnearrings of \((\mathbb{Z}[X],+,\circ)\). Quaest. Math. 44(5):693-715 .
• Thomas Vetterlein. Gradual transitivity in orthogonality spaces of finite rank. Aequationes Math. 95(3):483-503 .
• Dominik Bernhardt, Tim Boykett, Alice Devillers, Johannes Flake, S. P. Glasby. Groups $G$ satisfying a functional equation $f(xk) = xf(x)$ for some $k \in G$. ArXiv 2105.09117v1.
• Lin Jiu, Ye Li. Hankel Determinants of Certain Sequences Of Bernoulli Polynomials: A Direct Proof of an Inverse Matrix Entry from Statistics. ArXiv 2109.00772v2.
• Karl Dilcher, Lin Jiu. Hankel Determinants of shifted sequences of Bernoulli and Euler numbers. ArXiv 2105.01880v1.
• J. Blümlein, M. Saragnese, C. Schneider. Hypergeometric Structures in Feynman Integrals. ArXiv 2111.15501v1.
• Sean Dewar. Infinitesimal rigidity and prestress stability for frameworks in normed spaces. ArXiv 2109.14468v1.
• J. Ablinger, J. Blümlein, C. Schneider. Iterated integrals over letters induced by quadratic forms. ArXiv 2103.08330v1.
• Shaoshi Chen, Lixin Du, Manuel Kauers. Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions. ArXiv 2102.06538v2.
• Ilias Kotsireas, Christoph Koutschan. Legendre pairs of lengths $\ell \equiv 0$ (mod $3$). ArXiv 2101.03116v2.
• Ilias Kotsireas, Christoph Koutschan. Legendre pairs of lengths $\ell \equiv 0$ (mod $3$). ArXiv 2101.03116v3.
• Ilias Kotsireas, Christoph Koutschan, Dursun Bulutoglu, David Arquette, Jonathan Turner, Kenneth Ryan. Legendre pairs of lengths $\ell\equiv0$ (mod 5). ArXiv 2111.02105v3.
• Ilias Kotsireas, Christoph Koutschan, Dursun Bulutoglu, David Arquette, Jonathan Turner, Kenneth Ryan. Legendre pairs of lengths $\ell\equiv0$ (mod 5). ArXiv 2111.02105v2.
• Dursun Bulutoglu, Ilias Kotsireas, Christoph Koutschan, Jonathan Turner. Legendre pairs of lengths $\ell\equiv0$ (mod 5). ArXiv 2111.02105v1.
• Daniel Irving Bernstein, Sean Dewar, Steven J. Gortler, Anthony Nixon, Meera Sitharam, Louis Theran. Maximum likelihood thresholds via graph rigidity. ArXiv 2108.02185v1.
• Daniel Irving Bernstein, Sean Dewar, Steven J. Gortler, Anthony Nixon, Meera Sitharam, Louis Theran. Maximum likelihood thresholds via graph rigidity. ArXiv 2108.02185v2.
• J. Ablinger, J. Blümlein, A. De Freitas, M. Saragnese, C. Schneider, K. Schönwald. New 2- and 3-loop heavy flavor corrections to unpolarized and polarized deep-inelastic scattering. ArXiv 2107.09350v1.
• Mehdi Makhul, Arne Winterhof. Normality of the Thue-Morse function for finite fields along polynomial values. ArXiv 2106.12218v1.
• Xavier Caruso, Tristan Vaccon, Thibaut Verron. On FGLM Algorithms with Tate Algebras. ArXiv 2102.05324v1.
• Sergei A. Abramov, Manuel Bronstein, Marko Petkovšek, Carsten Schneider. On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions. J. Symb. Comput. 107, 23-66 .
• Cécile Dartyge, László Mérai, Arne Winterhof. On the distribution of the Rudin-Shapiro function for finite fields. Proc. Am. Math. Soc. 149(12):5013-5023 .
• Matteo Gallet, Georg Grasegger, Jan Legerský, Josef Schicho. On the existence of paradoxical motions of generically rigid graphs on the sphere. SIAM J. Discrete Math. 35(1):325-361 .
• Maria Francis, Thibaut Verron. On Two Signature Variants Of Buchberger's Algorithm Over Principal Ideal Domains. ArXiv 2102.03339v2.
• Thomas Vetterlein. Orthogonality spaces arising from infinite-dimensional complex Hilbert spaces. Int. J. Theor. Phys. 60(2):727-738 .
• Ralph Kritzinger, Friedrich Pillichshammer. Point sets with optimal order of extreme and periodic discrepancy. ArXiv 2109.05781v1.
• Gerhard Wendt. Primeness and primitivity in near-rings. J. Korean Math. Soc. 58(2):309-326 .
• Lin Jiu, Italo Simonelli, Heng Yue. Random Walk Models for Nontrivial Identities of Bernoulli and Euler Polynomials. ArXiv 2112.08716v1.
• Clemens Hofstadler, Thibaut Verron. Signature Gr\"obner bases, bases of syzygies and cofactor reconstruction in the free algebra. ArXiv 2107.14675v3.
• Jakob Ablinger, Carsten Schneider. Solving linear difference equations with coefficients in rings with idempotent representations. ArXiv 2102.03307v1.
• . Special issue OPSFA15: Orthogonal polynomials, special functions and applications. Integral Transforms Spec. Funct. 32(5-8):333-335 .
• Isabela Drămnesc, Tudor Jebelean. Synthesis of sorting algorithms using multisets in Theorema . J. Log. Algebr. Methods Program. 119, Article ID 100635, 26 p. .
• Carsten Schneider. Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. ArXiv 2102.01471v1.
• Carsten Schneider. Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. ArXiv 2102.01471v2.
• Carsten Schneider. Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation. ArXiv 2102.01471v3.
• Carsten Schneider. The absent-minded passengers problem: a motivating challenge solved by computer algebra. Math. Comput. Sci. 15(4):577-588 .
• Dominik Bernhardt, Tim Boykett, Alice Devillers, Johannes Flake, S. P. Glasby. The groups $G$ satisfying a functional equation $f(xk) = xf(x)$ for some $k \in G$. ArXiv 2105.09117v2.
• Dominik Bernhardt, Tim Boykett, Alice Devillers, Johannes Flake, S. P. Glasby. The groups $G$ satisfying a functional equation $f(xk) = xf(x)$ for some $k \in G$. ArXiv 2105.09117v3.
• J. Blümlein, A. De Freitas, M. Saragnese, C. Schneider, K. Schönwald. The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering. ArXiv 2105.09572v1.
• A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, K. Schönwald, C. Schneider. The Polarized Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$. ArXiv 2101.05733v1.
• A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, K. Schönwald, C. Schneider. The polarized transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O(\alpha_s^3)\). Nucl. Phys., B 964, Article ID 115331, 26 p. .
• Bahar Kalkan, Zijia Li, Hans-Peter Schröcker, Johannes Siegele. The Study Variety of Conformal Kinematics. ArXiv 2112.01027v3.
• J. Blümlein, P. Marquard, C. Schneider, K. Schönwald. The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements. ArXiv 2111.12401v2.
• J. Blümlein, P. Marquard, C. Schneider, K. Schönwald. The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements. Nucl. Phys., B 971, Article ID 115542, 44 p. .
• J. Blümlein, P. Marquard, C. Schneider, K. Schönwald. The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements. ArXiv 2107.06267v1.
• Shalosh B. Ekhad, Christoph Koutschan, Doron Zeilberger. There are EXACTLY 1493804444499093354916284290188948031229880469556 ways to derange a standard deck of cards (ignoring suits) [and many other such useful facts]. Enumer. Comb. Appl. 1(3):Article ID S2R17, 4 p. .
• Shalosh B. Ekhad, Christoph Koutschan, Doron Zeilberger. There are EXACTLY 1493804444499093354916284290188948031229880469556 Ways to Derange a Standard Deck of Cards (ignoring suits) [and many other such useful facts]. ArXiv 2101.10147v1.
• Adrian Ebert, Friedrich Pillichshammer. Tractability of approximation in the weighted Korobov space in the worst-case setting -- a complete picture. ArXiv 2102.01449v2.
• Thomas Vetterlein. Transitivity and homogeneity of orthosets and the real Hilbert spaces. ArXiv 2111.01438v1.
• Robert Dougherty-Bliss, Christoph Koutschan, Doron Zeilberger. Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery. ArXiv 2101.08308v1.
• Ayça Çeşmelioğlu, Wilfried Meidl, Isabel Pirsic. Vectorial bent functions and partial difference sets. Des. Codes Cryptography 89(10):2313-2330 .
• Matteo Gallet, Georg Grasegger, Jan Legerský, Josef Schicho. Zero-sum cycles in flexible non-triangular polyhedra. ArXiv 2108.08744v1.