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# An $E_8$ Correspondence for Multiplicative Eta-Products

Published:2011-04-14
Printed: Mar 2012
• C. J. Cummins,
Department of Mathematics and Statistics, Concordia University, Montréal, QC
• J. F. Duncan,
Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106, USA
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## Abstract

We describe an $E_8$ correspondence for the multiplicative eta-products of weight at least $4$.
 Keywords: We describe an E8 correspondence for the multiplicative eta-products of weight at least 4. We describe an E8 correspondence for the multiplicative eta-products of weight at least 4.
 MSC Classifications: 11F20 - Dedekind eta function, Dedekind sums 11F12 - Automorphic forms, one variable 17B60 - Lie (super)algebras associated with other structures (associative, Jordan, etc.) [See also 16W10, 17C40, 17C50]