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On Shimura’s trace formula

Published online by Cambridge University Press:  22 January 2016

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In [1], G. Shimura gave a very practical formula of the traces of the Hecke operators acting on the space of cusp forms of rational weight and there he emphasized that the traces are effectively computable. We shall practice the computation in some special cases and discuss the structure of the Hecke algebra, which is not necessarily semi-simple.

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Type
Research Article
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Copyright © Editorial Board of Nagoya Mathematical Journal 1977