Strange Congruences on Point Counts

Nicholas M. Katz; Yuta Nakayama

doi:10.1080/10586458.2025.2579955

Strange Congruences on Point Counts

Nicholas M. Katz
, Yuta Nakayama

Mathematics

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

Abstract

We discuss some strange congruences on counts of rational points on (certain) curves over finite fields, raise some questions, and give applications to monodromy.

Original language	English (US)
Journal	Experimental Mathematics
DOIs	https://doi.org/10.1080/10586458.2025.2579955
State	Accepted/In press - 2026

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

congruences
curves over finite fields
monodromy groups

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10.1080/10586458.2025.2579955

Cite this

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title = "Strange Congruences on Point Counts",

abstract = "We discuss some strange congruences on counts of rational points on (certain) curves over finite fields, raise some questions, and give applications to monodromy.",

keywords = "congruences, curves over finite fields, monodromy groups",

author = "Katz, \{Nicholas M.\} and Yuta Nakayama",

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year = "2026",

doi = "10.1080/10586458.2025.2579955",

language = "English (US)",

journal = "Experimental Mathematics",

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T1 - Strange Congruences on Point Counts

AU - Katz, Nicholas M.

AU - Nakayama, Yuta

PY - 2026

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AB - We discuss some strange congruences on counts of rational points on (certain) curves over finite fields, raise some questions, and give applications to monodromy.

KW - congruences

KW - curves over finite fields

KW - monodromy groups

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SN - 1058-6458

JO - Experimental Mathematics

JF - Experimental Mathematics

ER -

Strange Congruences on Point Counts

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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