Periods of mixed automorphic forms and differential equations
type: Item
instance of: scholarly article
title: Periods of mixed automorphic forms and differential equations
zbMATH Open document ID: 0953.11014
DOI: 10.1016/S0893-9659(98)00049-4
author: Min Ho Lee
published in: Applied Mathematics Letters
publication date: 2000-09-27T00:00:00Z
review text: The purpose of this paper is to establish certain relations between the periods of mixed automorphic forms, i.e., a generalization of ordinary automorphic forms, and the monodromy of differential equations associated with them. The author of this paper constructs a solution of a differential equation associated with a mixed automorphic form using the mixed automorphic form and conversely makes a mixed automorphic form from a solution to an ordinary differential equation. Then he writes a cocycle in the cohomology group of the monodromy associated to solutions of ordinary differential equations by using the periods of mixed automorphic forms.
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 34M35
zbMATH DE Number: 1369516
zbMATH Keywords: periods of mixed automorphic forms
zbMATH Keywords: monodromy of differential equations
reviewed by: Masakazu Muro
MaRDI profile type: Publication
cites work: Q4693061
cites work: Special values of Dirichlet series, monodromy, and the periods of automorphic forms
cites work: Mixed automorphic forms and invariants of elliptic surfaces
cites work: Mixed cusp forms and holomorphic forms on elliptic varieties
cites work: Periods of mixed cusp forms
cites work: Mixed automorphic forms on semisimple Lie groups
cites work: Mixed automorphic vector bundles on Shimura varieties
cites work: Mixed automorphic forms and differential equations
description: scientific article; zbMATH DE number 1369516