On a Question of Zannier

Nicholas M. Katz

doi:10.1080/10586458.2018.1551818

On a Question of Zannier

Nicholas M. Katz

Mathematics

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

1 Scopus citations

Abstract

We formulate and answer a question of Zannier about elliptic curves over varying prime fields. We then give some experimental findings. In a final section, we formulate some analogous questions for curves of higher genus.

Original language	English (US)
Pages (from-to)	422-428
Number of pages	7
Journal	Experimental Mathematics
Volume	30
Issue number	3
DOIs	https://doi.org/10.1080/10586458.2018.1551818
State	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

11G05
11K99
14G15
14H10
14H52
Cartier operator
Eisenstein series
elliptic curves
equidistribution

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10.1080/10586458.2018.1551818

Cite this

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title = "On a Question of Zannier",

abstract = "We formulate and answer a question of Zannier about elliptic curves over varying prime fields. We then give some experimental findings. In a final section, we formulate some analogous questions for curves of higher genus.",

keywords = "11G05, 11K99, 14G15, 14H10, 14H52, Cartier operator, Eisenstein series, elliptic curves, equidistribution",

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year = "2021",

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KW - 11G05

KW - 11K99

KW - 14G15

KW - 14H10

KW - 14H52

KW - Cartier operator

KW - Eisenstein series

KW - elliptic curves

KW - equidistribution

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DO - 10.1080/10586458.2018.1551818

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SN - 1058-6458

VL - 30

SP - 422

EP - 428

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 3

ER -

On a Question of Zannier

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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