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Periods of mixed automorphic forms and differential equations

✍ Scribed by M.H. Lee

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
280 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

We construct mixed automorphic forms associated to a certain class of linear ordinary differential equations and establish a relation between the monodromy of such a differential equation and the periods of the corresponding mixed automorphic form. (~) 1998 Elsevier Science Ltd. All rights reserved.

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We study the detailed structure of the distribution of Eichler Shimura periods of an automorphic form on a compact hyperbolic surface. We show that these periods do not cluster around the asymptotic period over a homology class discovered by Zelditch. 2001 Academic Press ## 0. INTRODUCTION AND RES