平方自由判别格指标的雅可比-爱森斯坦级数的精确公式

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/BKMS.B190342

R. Xiong

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引用次数: 1

摘要

本文给出了Jacobi-Eisenstein级数的平方自由判别格指数的傅里叶系数的精确公式。对于格的判别式为素数的特殊情况，我们证明了雅可比-爱森斯坦级数对应于众所周知的模形式的爱森斯坦级数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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EXACT FORMULA FOR JACOBI-EISENSTEIN SERIES OF SQUARE FREE DISCRIMINANT LATTICE INDEX

In this paper we give an exact formula for the Fourier coefficients of the Jacobi-Eisenstein series of square free discriminant lattice index. For a special case the discriminant of lattice is prime we show that the Jacobi-Eisenstein series corresponds to a well known Eisenstein series of modular forms.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).