On the interlacing of the zeros of Poincaré series

Article Type

Research Article

Publication Title

Ramanujan Journal

Abstract

Rankin proved that the Poincaré series for SL(2 , Z) that are not cusp forms have all their zeros on the unit circle in the standard fundamental domain. In this article we investigate the interlacing property of the zeros of such Poincaré series.

First Page

439

Last Page

465

DOI

10.1007/s11139-019-00164-x

Publication Date

11-1-2020

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