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

▪▪▪ 2021 ▪ 2020 ▪ 2019 ▪ 2018 ▪ 2017 ▪▪▪

• Erhard Aichinger, Bernardo Rossi. A clonoid based approach to some finiteness results in universal algebraic geometry. ArXiv 1909.10232v1.
• Christoph Koutschan, Thotsaporn Thanatipanonda. A curious family of binomial determinants that count rhombus tilings of a holey hexagon. J. Comb. Theory, Ser. A 166, 352-381 .
• Marijn Heule, Manuel Kauers, Martina Seidl. A family of schemes for multiplying \(3 \times 3\) matrices with 23 coefficient multiplications. ACM Commun. Comput. Algebra 53(3):118-121 .
• Hassan Aly, Arne Winterhof. A note on Hall's sextic residue sequence: correlation measure of order $k$ and related measures of pseudorandomness. ArXiv 1910.13713v1.
• Friedrich Pillichshammer, Mathias Sonnleitner. A note on isotropic discrepancy and spectral test of lattice point sets. ArXiv 1907.06435v3.
• Ísabel Pirsic. A parametrization of 8x8 magic squares of squares through octonionic multiplication. ArXiv 1908.00838v2.
• Johannes Blümlein, Peter Marquard, Carsten Schneider. A refined machinery to calculate large moments from coupled systems of linear differential equations. ArXiv 1912.04390v1.
• Oliver Roche-Newton, Igor E. Shparlinski, Arne Winterhof. Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions. Ann. Comb. 23(1):183-205 .
• J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Automated solution of first order factorizable systems of differential equations in one variable. Nucl. Phys., B 939, 253-291 .
• William DeMeo, Peter Mayr, Nik Ruskuc. Bounded homomorphisms and finitely generated fiber products of lattices. ArXiv 1907.08046v1.
• William DeMeo, Peter Mayr, Nik Ruskuc. Bounded homomorphisms and finitely generated fiber products of lattices. ArXiv 1907.08046v2.
• Erhard Aichinger. Bounding the free spectrum of nilpotent algebras of prime power order. Isr. J. Math. 230(2):919-947 .
• Clemens Hofstadler, Clemens G. Raab, Georg Regensburger. Certifying operator identities via noncommutative Gröbner bases. ACM Commun. Comput. Algebra 53(2):49-52 .
• Elisenda Feliu, Stefan Müller, Georg Regensburger. Characterizing injectivity of classes of maps via classes of matrices. ArXiv 1901.11272v1.
• E. Feliu, S. Müller, G. Regensburger. Characterizing injectivity of classes of maps via classes of matrices. Linear Algebra Appl. 580, 236-261 .
• Erhard Aichinger, Jakob Moosbauer. Chevalley Warning type results on abelian groups. ArXiv 1912.08448v1.
• Igor E. Shparlinski, Arne Winterhof. Codes correcting restricted errors. Des. Codes Cryptography 87(4):855-863 .
• Balazs Boros, Stefan Müller, Georg Regensburger. Complex-balanced equilibria of generalized mass-action systems: Necessary conditions for linear stability. ArXiv 1906.12214v1.
• Erhard Aichinger, Gábor Horváth. Congruence preserving expansions of nilpotent algebras. ArXiv 1903.07148v1.
• Audie Warren, Arne Winterhof. Conical Kakeya and Nikodym sets in finite fields. Finite Fields Appl. 59, 185-198 .
• Matteo Gallet, Georg Grasegger, Josef Schicho. Counting realizations of Laman graphs on the sphere. ArXiv 1903.01145v1.
• Nurdagül Anbar, Tekgül Kalaycı, Wilfried Meidl. Determining the Walsh spectra of Taniguchi’s and related APN-functions. Finite Fields Appl. 60, Article ID 101577, 20 p. .
• Friedrich Pillichshammer. Discrepancy of Digital Sequences: New Results on a Classical QMC Topic. ArXiv 1904.10346v1.
• Nurdagül Anbar, Wilfried Meidl, Alexander Pott. Equivalence for negabent functions and their relative difference sets. Discrete Appl. Math. 270, 1-12 .
• Christoph Koutschan, Elaine Wong. Exact Lower Bounds for Monochromatic Schur Triples and Generalizations. ArXiv 1904.01925v1.
• Christoph Koutschan, Elaine Wong. Exact Lower Bounds for Monochromatic Schur Triples and Generalizations. ArXiv 1904.01925v2.
• Sean Dewar. Flexible placements of periodic graphs in the plane. ArXiv 1911.05634v1.
• . Foreword. Math. Comput. Sci. 13(1-2):1-3 .
• Clemens G. Raab, Georg Regensburger, Jamal Hossein Poor. Formal proofs of operator identities by a single formal computation. ArXiv 1910.06165v1.
• J. Blümlein, A. Maier, P. Marquard, G. Schäfer, C. Schneider. From Momentum Expansions to Post-Minkowskian Hamiltonians by Computer Algebra Algorithms. ArXiv 1911.04411v1.
• Wilfried Meidl, Alexander Pott. Generalized bent functions into \(\mathbb{Z}_{p^k}\) from the partial spread and the Maiorana-McFarland class. Cryptogr. Commun. 11(6):1233-1245 .
• Georg Grasegger, Jan Legerský, Josef Schicho. Graphs with flexible labelings. Discrete Comput. Geom. 62(2):461-480 .
• Xavier Caruso, Tristan Vaccon, Thibaut Verron. Gr{\"o}bner bases over Tate algebras. ArXiv 1901.09574v1.
• Y. Abdelaziz, S. Boukraa, C. Koutschan, J-M. Maillard. Heun functions and diagonals of rational functions (unabridged version). ArXiv 1910.10761v1.
• Jiayue Qi. How to avoid collisions in 3D-realizations for moving graphs. ArXiv 1904.13260v2.
• Marijn J. H. Heule, Manuel Kauers, Martina Seidl. Local Search for Fast Matrix Multiplication. ArXiv 1903.11391v1.
• Marijn J. H. Heule, Manuel Kauers, Martina Seidl. Local Search for Fast Matrix Multiplication. ArXiv 1903.11391v2.
• Maximilian Jaroschek, Manuel Kauers, Laura Kovacs. Lonely Points in Simplices. ArXiv 1905.08747v1.
• Isabela Drămnesc, Tudor Jebelean, Sorin Stratulat. Mechanical synthesis of sorting algorithms for binary trees by logic and combinatorial techniques. J. Symb. Comput. 90, 3-41 .
• Gerhard Wendt. Minimal ideals and primitivity in near-rings. Taiwanese J. Math. 23(4):799-820 .
• Carsten Schneider. Minimal representations and algebraic relations for single nested products. ArXiv 1911.04837v1.
• Manuel Kauers, Marc Mezzarobba. Multivariate ore polynomials in SageMath. ACM Commun. Comput. Algebra 53(2):57-60 .
• Marijn J. H. Heule, Manuel Kauers, Martina Seidl. New ways to multiply 3 x 3-matrices. ArXiv 1905.10192v1.
• J. Ablinger, J. Blümlein, M. Round, C. Schneider. Numerical implementation of harmonic polylogarithms to weight w = 8. Comput. Phys. Commun. 240, 189-201 .
• P. Kritzer, F. Pillichshammer, L. Plaskota, G. W. Wasilkowski. On alternative quantization for doubly weighted approximation and integration over unbounded domains. ArXiv 1907.04015v1.
• Lin Jiu, Diane Y. H. Shi. On b-ary binomial coefficients with negative entries. ArXiv 1909.10592v1.
• Y. Abdelaziz, C. Koutschan, J-M. Maillard. On Christol's conjecture. ArXiv 1912.10259v2.
• T. Boykett, W.-F. Ke, J. H. Meyer. On invertible matrices over a near-field. J. Algebra 526, 345-355 .
• Stefan Müller, Josef Hofbauer, Georg Regensburger. On the bijectivity of families of exponential/generalized polynomial maps. SIAM J. Appl. Algebra Geom. 3(3):412-438 .
• David Kruml, Jan Paseka, Thomas Vetterlein. On the coextension of cut-continuous pomonoids. Order 36(2):271-290 .
• Matteo Gallet, Georg Grasegger, Jan Legerský, Josef Schicho. On the existence of paradoxical motions of generically rigid graphs on the sphere. ArXiv 1908.00467v1.
• Matteo Gallet, Georg Grasegger, Jan Legerský, Josef Schicho. On the existence of paradoxical motions of generically rigid graphs on the sphere. ArXiv 1908.00467v2.
• Manuel Kauers, Martina Seidl, Doron Zeilberger. On the maximal minimal cube lengths in distinct DNF tautologies. ArXiv 1902.03431v1.
• Zhimin Sun, Arne Winterhof. On the maximum order complexity of subsequences of the Thue-Morse and Rudin-Shapiro sequence along squares. ArXiv 1910.13763v1.
• Zhimin Sun, Arne Winterhof. On the maximum order complexity of the Thue-Morse and Rudin-Shapiro sequence. Unif. Distrib. Theory 14(2):33-42 .
• Zhimin Sun, Arne Winterhof. On the maximum order complexity of the Thue-Morse and Rudin-Shapiro sequence. ArXiv 1910.13723v1.
• Thomas Vetterlein. Orthogonality spaces of finite rank and the complex Hilbert spaces. Int. J. Geom. Methods Mod. Phys. 16(5):Article ID 1950080, 24 p. .
• Balázs Boros, Josef Hofbauer, Stefan Müller, Georg Regensburger. Planar S-systems: global stability and the center problem. Discrete Contin. Dyn. Syst. 39(2):707-727 .
• Shaoshi Chen, Christoph Koutschan. Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms. J. Symb. Comput. 93, 133-147 .
• Daniel F. Scharler, Johannes Siegele, Hans-Peter Schröcker. Quadratic Split Quaternion Polynomials: Factorization and Geometry. ArXiv 1908.05093v3.
• Johannes Siegele, Daniel F. Scharler, Hans-Peter Schröcker. Rational Motions with Generic Trajectories of Low Degree. ArXiv 1907.11525v2.
• Matteo Gallet, Niels Lubbes, Josef Schicho, Jan Vršek. Reconstruction of rational ruled surfaces from their silhouettes. ArXiv 1905.11853v1.
• Matteo Gallet, Niels Lubbes, Josef Schicho, Jan Vršek. Reconstruction of rational ruled surfaces from their silhouettes. ArXiv 1905.11853v2.
• Milan Petrík, Thomas Vetterlein. Rees coextensions of finite tomonoids and free pomonoids. Semigroup Forum 99(2):345-367 .
• Maria Francis, Thibaut Verron. Signature-based M\"oller's algorithm for strong Gr\"obner bases over PIDs. ArXiv 1901.09586v1.
• Erhard Aichinger. Solving systems of equations in supernilpotent algebras. ArXiv 1901.07862v1.
• Franz Winkler. The algebro-geometric method for solving algebraic differential equations – a survey. J. Syst. Sci. Complex. 32(1):256-270 .
• Jiří Janda, Thomas Vetterlein. The coextension of commutative pomonoids and its application to triangular norms. Quaest. Math. 42(3):319-345 .
• J. Blümlein, P. Marquard, N. Rana, C. Schneider. The Heavy Fermion Contributions to the Massive Three Loop Form Factors. ArXiv 1908.00357v1.
• J. Blümlein, P. Marquard, N. Rana, C. Schneider. The heavy fermion contributions to the massive three loop form factors. Nucl. Phys., B 949, Article ID 114751, 97 p. .
• Arnd Behring, Johannes Blümlein, Abilio De Freitas, Alexander Goedicke, Sebastian Klein, Andreas van Manteuffel, Carsten Schneider, Kay Schönwald. The Polarized Three-Loop Anomalous Dimensions from a Massive Calculation. ArXiv 1911.06189v1.
• A. Behring, J. Blümlein, A. De Freitas, A. Goedicke, S. Klein, A. von Manteuffel, C. Schneider, K. Schönwald. The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements. ArXiv 1908.03779v1.
• A. Behring, J. Blümlein, A. De Freitas, A. Goedicke, S. Klein, A. von Manteuffel, C. Schneider, K. Schönwald. The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements. Nucl. Phys., B 948, Article ID 114753, 41 p. .
• J. Blümlein, C. Raab, K. Schönwald. The polarized two-loop massive pure singlet Wilson coefficient for deep-inelastic scattering. Nucl. Phys., B 948, Article ID 114736, 23 p. .
• J. Ablinger, J. Blümlein, A. De Freitas, M. Saragnese, C. Schneider, K. Schönwald. The three-loop polarized pure singlet operator matrix element with two different masses. ArXiv 1911.11630v1.
• J. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. von Manteuffel, C. Schneider, K. Schönwald. The three-loop single mass polarized pure singlet operator matrix element. ArXiv 1912.02536v1.
• J. Blümlein, A. De Freitas, C. G. Raab, K. Schönwald. The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering. Nucl. Phys., B 945, Article ID 114659, 45 p. .
• J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Three loop heavy quark form factors and their asymptotic behavior. ArXiv 1906.05829v1.
• J. Ablinger, J. Blümlein, P. Marquard, N. Rana, C. Schneider. Three loop QCD corrections to heavy quark form factors. ArXiv 1905.03728v1.
• Johannes Middeke, Carsten Schneider. Towards a direct method for finding hypergeometric solutions of linear first order recurrence systems. ACM Commun. Comput. Algebra 52(3):89-91 .
• Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer, Joscha Prochno. Tractability properties of the discrepancy in Orlicz norms. ArXiv 1910.12571v2.
• Manuel Kauers, Thibaut Verron. Why you should remove zeros from data before guessing. ACM Commun. Comput. Algebra 53(3):126-129 .
• Richard Hofer, Arne Winterhof. \(r\)-th order nonlinearity, correlation measure and least significant bit of the discrete logarithm. Cryptogr. Commun. 11(5):993-997 .