✦ LIBER ✦

Odd Power Divisor Functions in Positive Characteristic

✍ Scribed by Antonios Broumas

Book ID: 102573351
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 94 KB
Volume: 217
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7852

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✦ Synopsis

In positive characteristic any two generating functions of odd power divisor functions are algebraically dependent via separable relations. Classically this is proved in the context of the theory of integral modular forms. We provide an alternative proof based on the explicit canonical isomorphism between the formal groups of the Tate curve and the multiplicative group scheme.

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