Some Eisenstein Series Identities
نویسندگان
چکیده
منابع مشابه
Some Eisenstein Series Identities Related to Modular Equations of the Seventh Order
In this paper we will use one well-known modular equation of seventh order, one theta function identity of S. McCullough and L.-C. Shen, 1994, and the complex variable theory of elliptic functions to prove some new septic identities for theta functions. Then we use these identities to provide new proofs of some Eisenstein series identities in Ramanujan’s notebooks or “lost” notebook. We also de...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2000
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2543