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单词 Modular Function Multiplier
释义

Modular Function Multiplier

When and satisfy a Modular Equation, a relationship of the form

(1)

exists, and is called the multiplier. The multiplier of degree can be given by
(2)

where is a Theta Function and is a complete Elliptic Integral of the First Kind.


The first few multipliers in terms of and are

(3)
(4)

In terms of the and defined for Modular Equations,
(5)
(6)
 
 (7)


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更新时间:2025/4/5 19:45:20