基于Jacobi三重乘积恒等式的Ramanujan函数χ(-q)的剖分研究  

Research Dissection of Ramanujan Function χ(-q)based on Jacobi Triple Product Identity

作　　者：李紫微 LI Ziwei(School of Mathematical Science,Chongqing Normal University,Chongqing 401331)

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《绵阳师范学院学报》2023年第5期18-24,共7页Journal of Mianyang Teachers＇ College

基　　金：重庆市自然科学基金(cstc2019jcyj-msxmX0143).

摘　　要：首先,介绍了剖分的定义以及相关方法,然后引入了Ramanujan theta函数定义和Jacobi三重乘积恒等式,基于Ramanujan theta函数的剖分现状进行了说明,利用Jacobi三重乘积恒等式给出了一个新的特殊函数χ(-q)及其倒数的2-剖分的形式,根据χ(-q)及其倒数的2-剖分得到关于χ(-q)剖分的两个推论.Firstly,the definition of partition and related methods are introduced.Then,the definition of Ramanujan Theta function and Jacobi triple product identity are introduced.based on the status of the dissection of Ramanujan Theta function was explained.A new special function χ(-q)and its reciprocal 2-division form are given by using Jacobi triple product identity,and two inferences about the division are obtained according to the reciprocal 2-division.

关 键 词：Jacobi三重乘积恒等式 2-剖分 Ramanujan theta函数 χ(-q) 

分 类 号：O156.1[理学—数学]