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  5. Periods of modular forms on level p and Jacobi theta functions

Periods of modular forms on level p and Jacobi theta functions

来源 :Algebraic geometry, number theory, and related topics(代数几何,数 | 被引量 : 0次 | 上传用户：nothingme
【摘 要】
：
　　We give a closed formula for the expression of sums of period polynomials multiplied by its associated Hecke eigenform over the orthogonal basis of thespace
【作 者】
：
Yoon Kyung Park 
【出 处】
：
Algebraic geometry, number theory, and related topics(代数几何,数
【发表日期】
：
2015年5期
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论文部分内容阅读
　　We give a closed formula for the expression of sums of period polynomials multiplied by its associated Hecke eigenform over the orthogonal basis of thespace of modular forms on level p for any prime p,by means of sums of productsof Jacobi theta series.This extends the result proved by Zagiers result in 1991.This work is on the progress for more general level and joint with YoungjuChoie.
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