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2010 Journal Article The sl(3) Selberg integralWarnaar, S. Ole (2010). The sl(3) Selberg integral. Advances in Mathematics, 224 (2), 499-524. doi: 10.1016/j.aim.2009.11.011 |
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2009 Journal Article A Selberg integral for the Lie algebra AnWarnaar, S. Ole (2009). A Selberg integral for the Lie algebra An. Acta Mathematica, 203 (2), 269-304. doi: 10.1007/s11511-009-0043-x |
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2009 Journal Article Nonsymmetric interpolation Macdonald polynomials and gln basic hypergeometric seriesLascoux, Alain, Rains, Eric. M. and Warnaar, S. Ole (2009). Nonsymmetric interpolation Macdonald polynomials and gln basic hypergeometric series. Transformation Groups, 14 (3), 613-647. doi: 10.1007/s00031-009-9061-1 |
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2009 Conference Publication Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjectureLanger, Robin, Schlosser, Michael J. and Warnaar, S. Ole (2009). Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture. Workshop on Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions, Bonn, Germany, 21-25 Jul 2008. Kyiv, Ukraine: Natsional'na Akademiya Nauk Ukrainy. doi: 10.3842/SIGMA.2009.055 |
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2008 Journal Article The importance of the Selberg integralForrester, P. J. and Warnaar, S. O. (2008). The importance of the Selberg integral. Bulletin (New Series) of the American Mathematical Society, 45 (4), 489-534. doi: 10.1090/S0273-0979-08-01221-4 |
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2008 Journal Article Bisymmetric functions, Macdonald polynomials and sl3 basic hypergeometric seriesWarnaar, S. O. (2008). Bisymmetric functions, Macdonald polynomials and sl3 basic hypergeometric series. Compositio Mathematica, 144 (02), 271-303. doi: 10.1112/S0010437X07003211 |
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2008 Journal Article On the generalised Selberg integral of Richards and ZhengWarnaar, S. O. (2008). On the generalised Selberg integral of Richards and Zheng. Advances in Applied Mathematics, 40 (2), 212-218. doi: 10.1016/j.aam.2006.12.002 |
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2008 Conference Publication The Mukhin-Varchenko conjecture for type AWarnaar, S. Ole (2008). The Mukhin-Varchenko conjecture for type A. FPSAC 2008: 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics, Viña del Mar, Chile, 23-27 June, 2008. Nancy, France: INRIA. |
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2007 Journal Article Characters of graded parafermion conformal field theoryFortin, J. F., Mathieu, P. and Warnaar, S. O. (2007). Characters of graded parafermion conformal field theory. Advances in Theoretical and Mathematical Physics, 11 (6), 945-989. |
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2007 Journal Article Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theoryWarnaar, S. O. (2007). Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory. Journal Of Physics A-Mathematical And Theoretical, 40 (40), 12243-12254. doi: 10.1088/1751-8113/40/40/015 |
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2007 Journal Article The Bailey transform and false theta functionsAndrews, G. E. and Warnaar, S. O. (2007). The Bailey transform and false theta functions. Ramanujan Journal, 14 (1), 173-188. doi: 10.1007/s11139-006-9006-4 |
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2007 Journal Article The product of partial theta functionsAndrews, G. E. and Warnaar, S. O. (2007). The product of partial theta functions. Advances in Applied Mathematics, 39 (1), 116-120. doi: 10.1016/j.aam.2005.12.003 |
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2006 Journal Article Inversions of integral operators and elliptic beta integrals on root systemsVyacheslav P., Spiridonov, S. and Warnaar, S. O. (2006). Inversions of integral operators and elliptic beta integrals on root systems. Advances in Mathematics, 207 (1), 91-132. doi: 10.1016/j.aim.2005.11.007 |
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2006 Journal Article Rogers-Szego polynomials and Hall-Littlewood symmetric functionsWarnaar, S. Ole (2006). Rogers-Szego polynomials and Hall-Littlewood symmetric functions. Journal of Algebra, 303 (2), 810-830. doi: 10.1016/j.jalgebra.2006.04.026 |
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2006 Journal Article Hall–Littlewood functions and the A2 Rogers–Ramanujan identitiesWarnaar, S. O. (2006). Hall–Littlewood functions and the A2 Rogers–Ramanujan identities. Advances in Mathematics, 200 (2), 403-434. doi: 10.1016/j.aim.2004.12.001 |
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2006 Edited Outputs Counting Complexity: An International Workshop on Statistical Mechanics and CombinatoricsJan de Gier and Ole Warnaar eds. (2006). Counting Complexity: An International Workshop on Statistical Mechanics and Combinatorics. Counting Complexity: An International Workshop on Statistical Mechanics and Combinatorics, Dunk Island, Queensland, Australia, 10–15 July 2005. |
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2005 Journal Article A generalization of the Farkas and Kra partition theorem for modulus 7Warnaar, S. O. (2005). A generalization of the Farkas and Kra partition theorem for modulus 7. Journal of Combinatorial Theory Series A, 110 (1), 43-52. doi: 10.1016/j.jcta.2004.08.008 |
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2005 Journal Article Summation formulae for elliptic hypergeometric seriesWarnaar, S. O. (2005). Summation formulae for elliptic hypergeometric series. Proceedings of the American Mathematical Society, 133 (2), 519-527. doi: 10.1090/S0002-9939-04-07558-6 |
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2005 Journal Article Positivity preserving transformations for q-binomial coefficientsBerkovich, A. and Warnaar, S. O. (2005). Positivity preserving transformations for q-binomial coefficients. Transactions of the American Mathematical Society, 357 (6), 2291-2351. doi: 10.1090/S0002-9947-04-03680-3 |
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2005 Journal Article q-Hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theoremWarnaar, S. O. (2005). q-Hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem. Ramanujan Journal, 8 (4), 467-474. doi: 10.1007/s11139-005-0275-0 |
