Gosper 若干 q-三角恒等式猜想的证明
经典分析与常微分方程
2021-05-10 v2 数论
摘要
应用椭圆函数理论，我们建立了两个 Jacobi theta 函数恒等式。由这些恒等式，我们证实了 Gosper 所猜想的两个 q-三角恒等式。作为应用，我们给出了 Gosper 的一个 Pi_q-恒等式的一种新的简单证明。
引用
@article{arxiv.2010.05011,
title = {Proofs for certain conjectures of Gosper on q-trigonometric identities},
author = {Bing He},
journal= {arXiv preprint arXiv:2010.05011},
year = {2021}
}
备注
This article is withdrawn because one of the main results (Theorem 1.1) is a special case of Weierstrass' addition formula (also called the Riemann relation)