Coefficients of exponential functions attached to Drinfeld modules of rank 2

Let be a Drinfeld A -module of rank 2 defined over C ∞ . We explicitly determine the pattern of valuations of the exponential functions attached to and discuss applications to the study of zeroes of para-Eisenstein series.

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Bibliographic Details
Published in:Manuscripta mathematica 2012-09, Vol.139 (1-2), p.123-136
Main Authors: Chen, Imin, Lee, Yoonjin
Format: Article
Language:English
Subjects:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Description
Summary:Let be a Drinfeld A -module of rank 2 defined over C ∞ . We explicitly determine the pattern of valuations of the exponential functions attached to and discuss applications to the study of zeroes of para-Eisenstein series.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-011-0505-2