论文标题
在Ramanujan的丢失笔记本和新的第十阶像身份，用于第二，第六和第八阶模拟theta功能
On Ramanujan's lost notebook and new tenth-order like identities for second-, sixth-, and eighth-order mock theta functions
论文作者
论文摘要
Ramanujan的丢失笔记本包含许多模拟theta功能和模拟theta功能身份，在他给Hardy的最后一封信中未提及。例如，我们发现了四个十阶模拟theta函数及其六个身份。六个身份本身具有壮观的性质，首先由崔证明。我们还在《丢失的笔记本》中发现了八个六阶模拟theta功能，但是在他们的许多身份中，只有一个像第十词的关系。使用Hickerson和Mortenson的Appell函数属性，我们发现并证明并证明了三阶模拟theta函数的三个新身份。我们还提供了一个额外的十九阶（例如身份），以用于第二，第六和第八阶模拟theta函数的各种组合。
Ramanujan's lost notebook contains many mock theta functions and mock theta function identities not mentioned in his last letter to Hardy. For example, we find the four tenth-order mock theta functions and their six identities. The six identities themselves are of a spectacular nature and were first proved by Choi. We also find eight sixth-order mock theta functions in the lost notebook, but among their many identities there is only a single relationship like those of the tenth-orders. Using Appell function properties of Hickerson and Mortenson, we discover and prove three new identities for the sixth-order mock theta functions that are in the spirit of the six tenth-order identities. We also include an additional nineteen tenth-order like identities for various combinations of second-, sixth-, and eighth-order mock theta functions.
