Tohoku Mathematical Journal
2002
March
SECOND SERIES VOL. 54, NO. 1

Tohoku Math. J.
54 (2002), 61-69

Title A CERTAIN CLASS OF POINCARÉ SERIES ON $Sp_n$, II

Author Winfried Kohnen and Jyoti Sengupta

(Received March 7, 2000, revised October 23, 2000)
Abstract. We compute the Petersson scalar product of certain Poincare series introduced in our previous paper against a Siegel cusp form and show that it can be written as a certain averaged cycle integral. This generalizes earlier work by Katok, Zagier and the first named author in the case of genus 1.

2000 Mathematics Subject Classification. Primary 11F46.

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