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EISENSTEIN SERIES TO THE TREDECIC BASE
Published online by Cambridge University Press: 27 June 2014
Abstract
We employ a modular method to establish the new result that two types of Eisenstein series to the tredecic base may be parametrised in terms of the eta quotients ${\it\eta}^{13}({\it\tau})/{\it\eta}(13{\it\tau})$ and ${\it\eta}^{2}(13{\it\tau})/{\it\eta}^{2}({\it\tau})$. The method can also be used to give short and simple proofs for the analogous cubic, quintic and septic theories.
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- Copyright © 2014 Australian Mathematical Publishing Association Inc.
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