The points of a certain fivefold over finite fields and the twelfth power of the eta function

Scott Ahlgren

doi:10.1006/ffta.2001.0315

The points of a certain fivefold over finite fields and the twelfth power of the eta function

Research output: Contribution to journal › Article › peer-review

Abstract

If p is an odd prime, then denote by F_p the field with p elements. We prove that a certain fivefold is modular in the sense that for every odd p, the number of its points over F_p is predicted explicitly by the pth coefficient of the Fourier expansion of the weight 6 modular form η¹²(2z).

Original language	English (US)
Pages (from-to)	18-33
Number of pages	16
Journal	Finite Fields and their Applications
Volume	8
Issue number	1
DOIs	https://doi.org/10.1006/ffta.2001.0315
State	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Algebra and Number Theory
Engineering(all)
Applied Mathematics

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10.1006/ffta.2001.0315

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The points of a certain fivefold over finite fields and the twelfth power of the eta function

Abstract

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