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arXiv · 0802.0361

Automorphic forms of higher order

Anton Deitmar·Nikolaos Diamantis
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Abstract

In this paper a theory of Hecke operators for higher order modular forms is established. The definition of cusp forms and attached L-functions is extended beyond the realm of parabolic invariants. The role of representation theoretic methods is clarified and, motivated by higher order forms, new convolution products of L-functions are introduced.

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Anton Deitmar, Nikolaos Diamantis. 2017-09-01. Automorphic forms of higher order. https://doi.org/10.1112/jlms%2Fjdp015

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