, Volume 76, Issue 3, pp 202-214

Eta products of weight 1 and level 36

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Abstract.

There are 65 holomorphic eta products of weight 1 on the Fricke group of level 36. We describe all Hecke theta series on imaginary quadratic fields which are linear combinations of these eta products. There are several linear relations among the eta products.

Received: 6.8.1999