论文标题
在21的“混合”模块化方程上
On "mixed" modular equations of degree 21
论文作者
论文摘要
在拟议的工作中，我们总共建立了六个新的$ p $ - $ q $模块化方程，涉及theta-函数$ f（-q）$，订单1、3、7和21的模量。这些方程在签名理论3中被视为模块化身份。
In the proposed work, we establish a total of six new $P$--$Q$ modular equations involving theta--function $f(-q)$ with moduli of orders 1, 3, 7 and 21.These equations can be regarded as modular identities in the alternate theory of signature 3. As a consequence, several values of quotients of theta--function are evaluated.
