A formal power series of a Hecke ring associated with the Heisenberg Lie algebra over Z(p)

作者：Hyodo Fumitake^*

来源：International Journal of Number Theory, 2015, 11(8): 2305-2323.

DOI：10.1142/S1793042115501055

• Hecke rings
• Hecke series
• rationality

This paper studies a formal power series with coefficients in a Hecke ring associated with the Heisenberg Lie algebra. We relate the series to the classical Hecke series defined by Hecke, and prove that the series has a property similar to the rationality theorem of the classical Hecke series. And then, our results recover the rationality theorem of the classical Hecke series.

• 出版日期2015-12