The fifth and seventh order mock theta functions
The fifth and seventh order mock theta functions
复制标题
DOI：
10.1090/s0002-9947-1986-0814916-2
复制
发表时间：
1986
影响因子：
1.3
通讯作者：
G. Andrews
中科院分区：
文献类型：
--
作者：
G. Andrews
。推广了Bailey链理论，给出了Hecke型模形式及其相关推广的恒等式。推广的结果允许我们产生五阶和七阶模拟函数的Hecke型级数。给出了三个平方和的母函数的新结果，并给出了一个新的证明：每个整数是三个三角数的和。
. The theory of Bailey chains is extended to yield identities for Hecke type modular forms and related generalizations. The extended results allow us to produce Hecke type series for the fifth and seventh order mock theta functions. New results on the generating function for sums of three squares also follow, and a new proof that every integer is the sum of three triangular numbers is given.