- Modularity of tadpole Nahm sums in ranks 4 and 5
2025/04/24 by Shi, Changsong, Wang, Liuquan · 4 citations
#11F03 #11P84 #33D15 #33D45 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
- Distinctive features of inhomogeneous spin chains
2024/11/14 by Bernard, Pierre-Antoine, Parez, Gilles, Vinet, Luc · 2 citations
#33D45 #81V74 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)
- Zeta zeros and prolate wave operators
2023/10/27 by Alain Connes, Connes, Alain, Caterina Consani +3 · 3 citations
Mathematics · #11M06 #11M55 #22E46 #33D45 #34B20 #Analytic and geometric function theory #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #advanced mathematical theories
- On Some Double Nahm Sums of Zagier
2023/03/02 by Zhineng Cao, Cao, Zhineng, Hjalmar Rosengren +3 · 6 citations
Mathematics · #11P84 #33D15 #33D45 #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)
- Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics
2022/11/14 by Chatchai Noytaptim, Clayton Petsche, Noytaptim, Chatchai +1 · 1 citation
Mathematics · Physics and Astronomy · #11Y40 #31A15 #33D45 #37P05 #37P15 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Quantum chaos and dynamical systems
- Orthogonal polynomials on a class of planar algebraic curves
2022/11/13 by Fasondini, Marco, Olver, Sheehan, Xu, Yuan · 1 citation
#33D45 #65F25 #FOS: Mathematics #Numerical Analysis (math.NA)
- Differential equations for the recurrence coefficients of semi-classical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach
2021/09/14 by Dzhamay, Anton, Filipuk, Galina, Stokes, Alexander · 3 citations
#14J26 #33D45 #34M55 #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters
2017/09/26 by Brouwer, Andries E., Cioabă, Sebastian M., Ihringer, Ferdinand +1 · 4 citations
#05C50 #05E30 #33C47 #33D45 #68R10 #90C47 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics
- Nonexistence Results for Tight Block Designs
2011/10/16 by Dukes, Peter, Short-Gershman, Jesse · 1 citation
#05B05 #05E30 #33D45 #Combinatorics (math.CO) #FOS: Mathematics
- Tridiagonal pairs of shape (1,2,1)
2008/02/21 by Melvin A. Vidar, Vidar, Melvin A. · 2 citations
Engineering · Mathematics · #05E30 #05E35 #33C45 #33D45 #FOS: Mathematics #Finite Group Theory Research #Mathematics and Applications #Representation Theory (math.RT) #Rings and Algebras (math.RA) #graph theory and CDMA systems
- Scaled Asymptotics For Some q-Series
2007/03/01 by Zhang, Ruiming · 1 citation
#30E15 #33D45 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics
- An Inequality for Basic Confluent Hypergeometric Series
2006/11/24 by Ruiming Zhang, Zhang, Ruiming · 1 citation
Engineering · Mathematics · #30E15 #33D45 #3D Modeling in Geospatial Applications #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials
- Remarks on Ramanujan Function Aq(z)
2006/11/22 by Ruiming Zhang, Zhang, Ruiming · 1 citation
Mathematics · #30E15 #33D45 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials
- On A Limiting Relation Between Ramanujan's Entire Function Aq(z) And θ-Function
2006/06/30 by Zhang, Ruiming · 1 citation
#33D45 #33E05 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics
- Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials
2004/06/03 by Ion, Bogdan · 1 citation
#17B10 #20C08 #33D45 #33D52 #33D80 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
- Two relations that generalize the q-Serre relations and the Dolan-Grady relations
2003/07/01 by Paul Terwilliger, Terwilliger, Paul · 3 citations
Mathematics · Physics and Astronomy · #05E30 #05E35 #33C45 #33D45 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math-ph #math.CO #math.MP #math.QA #math.RA #math.RT #msc:05E30 #msc:05E35 #msc:33C45 #msc:33D45
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
2003/06/19 by Paul Terwilliger, Terwilliger, Paul · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #05E30 #17B37 #33C45 #33D45 #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Finite Group Theory Research #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #graph theory and CDMA systems #math-ph #math.CO #math.MP #math.QA #math.RA #math.RT #msc:05E30 #msc:17B37 #msc:33C45 #msc:33D45
- Leonard pairs and the Askey-Wilson relations
2003/05/26 by Paul Terwilliger, Raimundas Vidunas, Raimundas Vidūnas +2 · 3 citations
Mathematics · #05E35 #17B37 #33C45 #33D45 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:05E35 #msc:17B37 #msc:33C45 #msc:33D45
- The shape of a tridiagonal pair
2003/04/17 by Tatsuro Ito, Ito, Tatsuro, Paul Terwilliger +1 · 2 citations
Engineering · Mathematics · #05E35 #17B37 #33C45 #33D45 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #Manufacturing Process and Optimization #Quantum Algebra (math.QA) #math.QA #msc:05E35 #msc:17B37 #msc:33C45 #msc:33D45
- Segal-Bargmann Transforms of One-mode Interacting Fock Spaces Associated with Gaussian and Poisson Measures
2001/10/01 by Nobuhiro Asai, Izumi Kubo, Asai, Nobuhiro +3 · 1 citation
Mathematics · #33D45 #44A15 #46L53 #Advanced Algebra and Geometry #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Probability (math.PR) #math.PR #msc:33D45 #msc:44A15 #msc:46L53