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A note on Gekeler’s h-function

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Abstract

We give a brief introduction to Drinfeld modular forms, concentrating on the many equivalent constructions of the form h of weight q + 1 and type 1, to which we contribute some new characterizations involving Moore determinants, and an application to the Weil pairing on Drinfeld modules. We also define Drinfeld modular functions of non-zero type and provide a moduli interpretation of these.

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Authors and Affiliations

  1. Stellenbosch University, Stellenbosch, South Africa

    Florian Breuer

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  1. Florian Breuer
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Correspondence to Florian Breuer.

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To Ernst-Ulrich Gekeler

Supported by Grant No. IFRR96241 of the National Research Foundation of South Africa.

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Breuer, F. A note on Gekeler’s h-function. Arch. Math. 107, 305–313 (2016). https://doi.org/10.1007/s00013-016-0923-1

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  • DOI: https://doi.org/10.1007/s00013-016-0923-1

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