Higher-order Maass forms

Roelof Bruggeman; Nikolaos Diamantis

doi:10.2140/ant.2012.6.1409

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Home > Journals > Algebra Number Theory > Volume 6 > Issue 7 > Article

2012 Higher-order Maass forms

Roelof Bruggeman, Nikolaos Diamantis

Algebra Number Theory 6(7): 1409-1458 (2012). DOI: 10.2140/ant.2012.6.1409

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Abstract

The spaces of Maass forms of even weight and of arbitrary order are studied. It is shown that, if we allow exponential growth at the cusps, these spaces are as large as algebraic restrictions allow. These results also apply to higher-order holomorphic forms of even weight.

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Roelof Bruggeman. Nikolaos Diamantis. "Higher-order Maass forms." Algebra Number Theory 6 (7) 1409 - 1458, 2012. https://doi.org/10.2140/ant.2012.6.1409