“Ramanujan Theta Functions”的概念、定义、习题解题方法及翻译-数学辞典

单词

Ramanujan Theta Functions

释义

Ramanujan Theta Functions

Ramanujan's one-variable theta function is defined by

(1)

It is equal to the function in the Jacobi Triple Product with


			(2)

Special values include

			(3)
			(4)

Ramanujan's two-variable theta function is defined by

(5)

for

. It is a generalization of the function

(6)

and satisfies

(7)

(8)

(9)

where

are q-Series.

See also Jacobi Triple Product, q-Series, Schröter's Formula

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