On the refined 3-enumeration of alternating sign matrices |
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| Authors: | F. Colomo A.G. Pronko |
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| Affiliation: | aINFN, Sezione di Firenze, and Dipartimento di Fisica, Università di Firenze, Via G. Sansone 1, 50019 Sesto Fiorentino (FI), Italy;bSankt-Petersburg Department of V.A. Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27, 191023 Sankt-Petersburg, Russia |
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| Abstract: | An explicit expression for the numbers A(n,r;3) describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Stroganov for the corresponding generating function. As a result, A(n,r;3)'s are represented as 1-fold sums which can also be written in terms of terminating series of argument 1/4. |
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