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Bull. Korean Math. Soc. 2016; 53(6): 1893-1908

Online first article November 1, 2016      Printed November 30, 2016

https://doi.org/10.4134/BKMS.b160009

Copyright © The Korean Mathematical Society.

Theta sums of higher index

Jae-Hyun Yang

Inha University

Abstract

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In this paper, we obtain some behaviours of theta sums of higher index for the Schr{\"o}dinger-Weil representation of the Jacobi group associated with a positive definite symmetric real matrix of degree $m$.

Keywords: the Schr{\"o}dinger-Weil representation, theta sums

MSC numbers: Primary 11F27, 11F50

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