“Dedekind Eta Function”的概念、定义、习题解题方法及翻译-数学辞典

单词

Dedekind Eta Function

释义

Dedekind Eta Function

Let

(1)

then the Dedekind eta function is defined over the upper half-plane

(2)

which can be written as

(3)

(Weber 1902, pp. 85 and 112; Atkin and Morain 1993).

is a Modular Form. Letting

be a Root of Unity,

satisfies

			(4)
			(5)

(Weber 1902, p. 113; Atkin and Morain 1993).

See also Dirichlet Eta Function, Theta Function, Weber Functions

References

Atkin, A. O. L. and Morain, F. ``Elliptic Curves and Primality Proving.'' Math. Comput. 61, 29-68, 1993.

Weber, H. Lehrbuch der Algebra, Vols. I-II. New York: Chelsea, 1902.

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