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The ring of symmetric functions Λ, with natural basis given by the Schur functions, arise in many different areas of mathematics. For example, as the cohomology ring of the grassmanian, and as the representation ring of the symmetric group. One may define a coproduct on Λ by the plethystic addition on alphabets. In this way the ring of symmetric functions… (More)

- Tom Koornwinder, Walter Van Assche, Ole Warnaar
- Journal of Approximation Theory
- 2015

Richard A. (Dick) Askey1 was born June 4, 1933 in St. Louis, Missouri. He received his PhD at Princeton University in 1961 under the direction of Salomon Bochner. After instructorships at Washington University and the University of Chicago he joined the faculty of the University of Wisconsin-Madison in 1963, where he became full professor in 1968. Since… (More)

- Bruce C. Berndt, H. Farkas, Roberta Rui, Ole Warnaar, Colin Sandon, Fabrizio Zanello
- 2014

Our study has its origin in the work of H. M. Farkas and I. Kra, who observed that certain theta function identities can be transformed into remarkable identities for partition functions. The present author then observed that many of these theta function identities can be recast in the language of Ramanujan’s modular equations. The author and his co-author,… (More)

- Richard P. Brent, Christian Krattenthaler, Ole Warnaar
- J. Comb. Theory, Ser. A
- 2016

Article history: Available online 15 July 2016

- Klavdija Kutnar, Alen Orbanic, +16 authors Ole Warnaar
- ACM Comm. Computer Algebra
- 2013

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