Skip to menu Skip to content Skip to footer

2023

Journal Article

The A2 Andrews–Gordon identities and cylindric partition

Warnaar, S. Ole (2023). The A2 Andrews–Gordon identities and cylindric partition. Transactions of the American Mathematical Society Series B, 10 (22), 715-765. doi: 10.1090/btran/147

The A2 Andrews–Gordon identities and cylindric partition

2021

Journal Article

AFLT-type Selberg integrals

Albion, Seamus P., Rains, Eric M. and Warnaar, S. Ole (2021). AFLT-type Selberg integrals. Communications in Mathematical Physics, 388 (2), 735-791. doi: 10.1007/s00220-021-04157-0

AFLT-type Selberg integrals

2021

Journal Article

Bounded Littlewood identities

Rains, Eric M. and Warnaar, S. Ole (2021). Bounded Littlewood identities. Memoirs of the American Mathematical Society, 270 (1317), 1-115. doi: 10.1090/memo/1317

Bounded Littlewood identities

2020

Journal Article

An elliptic hypergeometric function approach to branching rules

Lee, Chul-Hee, Rains, Eric M. and Warnaar, S. Ole (2020). An elliptic hypergeometric function approach to branching rules. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 16 142, 1-52. doi: 10.3842/SIGMA.2020.142

An elliptic hypergeometric function approach to branching rules

2017

Journal Article

A Nekrasov–Okounkov formula for Macdonald polynomials

Rains, Eric M. and Warnaar, S. Ole (2017). A Nekrasov–Okounkov formula for Macdonald polynomials. Journal of Algebraic Combinatorics, 48 (1), 1-30. doi: 10.1007/s10801-017-0790-2

A Nekrasov–Okounkov formula for Macdonald polynomials

2016

Journal Article

Fifty years of The Journal of Combinatorial Theory

Barcelo, Helene, Rothschild, Bruce L. and Warnaar, S. Ole (2016). Fifty years of The Journal of Combinatorial Theory. Journal of Combinatorial Theory. Series A, 144 (3), 1-6. doi: 10.1016/j.jcta.2016.06.003

Fifty years of The Journal of Combinatorial Theory

2016

Journal Article

Discrete analogues of Macdonald-Mehta integrals

Brent, Richard P., Krattenthaler, Christian and Warnaar, Ole (2016). Discrete analogues of Macdonald-Mehta integrals. Journal of Combinatorial Theory. Series A, 144, 80-138. doi: 10.1016/j.jcta.2016.06.005

Discrete analogues of Macdonald-Mehta integrals

2016

Journal Article

A framework of Rogers-Ramanujan identities and their arithmetic properties

Griffin, Michael J., Ono, Ken and Warnaar, S. Ole (2016). A framework of Rogers-Ramanujan identities and their arithmetic properties. Duke Mathematical Journal, 165 (8), 1475-1527. doi: 10.1215/00127094-3449994

A framework of Rogers-Ramanujan identities and their arithmetic properties

2015

Journal Article

Hall-Littlewood polynomials and characters of affine Lie algebras

Bartlett, Nick and Warnaar, S. Ole (2015). Hall-Littlewood polynomials and characters of affine Lie algebras. Advances in Mathematics, 285, 1066-1105. doi: 10.1016/j.aim.2015.08.011

Hall-Littlewood polynomials and characters of affine Lie algebras

2015

Journal Article

Constant term identities and Poincaré polynomials

Károlyi, Gyula, Lascoux, Alain and Ole Warnaar, S. (2015). Constant term identities and Poincaré polynomials. Transactions of the American Mathematical Society, 367 (10), 6809-6836. doi: 10.1090/tran/6119

Constant term identities and Poincaré polynomials

2015

Journal Article

A tribute to Dick Askey

Koornwinder, Tom, Van Assche, Walter and Warnaar, Ole (2015). A tribute to Dick Askey. Journal of Approximation Theory, 193, 1-3. doi: 10.1016/j.jat.2015.03.001

A tribute to Dick Askey

2013

Journal Article

Srinivasa Ramanujan: Going Strong at 125, Part II

Alladi, Krishnaswami, Ono, Ken, Soundararajan, K., Vaughan, R. C. and Warnaar, S. Ole (2013). Srinivasa Ramanujan: Going Strong at 125, Part II. Notices of the American Mathematical Society, 60 (01), 10-22. doi: 10.1090/noti926

Srinivasa Ramanujan: Going Strong at 125, Part II

2013

Journal Article

Remarks on the paper "Skew Pieri rules for Hall-Littlewood functions" by Konvalinka and Lauve

Warnaar, S. Ole (2013). Remarks on the paper "Skew Pieri rules for Hall-Littlewood functions" by Konvalinka and Lauve. Journal of Algebraic Combinatorics, 38 (3), 519-526. doi: 10.1007/s10801-013-0423-3

Remarks on the paper "Skew Pieri rules for Hall-Littlewood functions" by Konvalinka and Lauve

2012

Journal Article

Dedekind's eta-function and Rogers-Ramanujan identities

Warnaar, S. Ole and Zudilin, Wadim (2012). Dedekind's eta-function and Rogers-Ramanujan identities. Bulletin of the London Mathematical Society, 44 (1), 1-11. doi: 10.1112/blms/bdr019

Dedekind's eta-function and Rogers-Ramanujan identities

2011

Journal Article

The Riemann Hypothesis

Warnaar, Ole and Zudilin, Wadim (2011, 12 07). The Riemann Hypothesis

The Riemann Hypothesis

2011

Journal Article

New multiple 6ψ6 summation formulas and related conjectures

Spiridonov, Vyacheslav P. and Warnaar, S. Ole (2011). New multiple 6ψ6 summation formulas and related conjectures. The Ramanujan Journal, 25 (3), 319-342. doi: 10.1007/s11139-011-9310-5

New multiple 6ψ6 summation formulas and related conjectures

2011

Journal Article

A q-rious positivity

Warnaar, S. Ole and Zudilin, W. (2011). A q-rious positivity. Aequationes Mathematicae, 81 (1-2), 177-183. doi: 10.1007/s00010-010-0055-9

A q-rious positivity

2011

Journal Article

Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series

Lascoux, Alain and Warnaar, S. Ole (2011). Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series. Advances in Applied Mathematics, 46 (1-4), 424-456. doi: 10.1016/j.aam.2010.01.012

Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series

2010

Journal Article

The sl(3) Selberg integral

Warnaar, S. Ole (2010). The sl(3) Selberg integral. Advances in Mathematics, 224 (2), 499-524. doi: 10.1016/j.aim.2009.11.011

The sl(3) Selberg integral

2009

Journal Article

A Selberg integral for the Lie algebra An

Warnaar, S. Ole (2009). A Selberg integral for the Lie algebra An. Acta Mathematica, 203 (2), 269-304. doi: 10.1007/s11511-009-0043-x

A Selberg integral for the Lie algebra An