On Eisenstein series on quaternion unitary groups of degree 2

doi:10.2969/jmsj/05110093

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January, 1999 On Eisenstein series on quaternion unitary groups of degree 2

Yoshikazu HIRAI

J. Math. Soc. Japan 51(1): 93-128 (January, 1999). DOI: 10.2969/jmsj/05110093

Abstract

In this paper we give an explicit Fourier expansion of the Eisenstein series on certain quaternion unitary groups of degree 2 by means of Shimura's method. Moreover using an explicit formula of the Fourier coefficients of holomorphic Eisenstein series and Oda's lifted cusp forms, we give some numerical examples.

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Yoshikazu HIRAI. "On Eisenstein series on quaternion unitary groups of degree 2." J. Math. Soc. Japan 51 (1) 93 - 128, January, 1999. https://doi.org/10.2969/jmsj/05110093