On singular moduli that are S-units

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Standard

On singular moduli that are S-units. / Campagna, Francesco.

I: Manuscripta Mathematica, Bind 166, 2021, s. 73–90.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Campagna, F 2021, 'On singular moduli that are S-units', Manuscripta Mathematica, bind 166, s. 73–90. https://doi.org/10.1007/s00229-020-01230-1

APA

Campagna, F. (2021). On singular moduli that are S-units. Manuscripta Mathematica, 166, 73–90. https://doi.org/10.1007/s00229-020-01230-1

Vancouver

Campagna F. On singular moduli that are S-units. Manuscripta Mathematica. 2021;166:73–90. https://doi.org/10.1007/s00229-020-01230-1

Author

Campagna, Francesco. / On singular moduli that are S-units. I: Manuscripta Mathematica. 2021 ; Bind 166. s. 73–90.

Bibtex

@article{409547d35c4d4bf2a7586f3b6757ab82,
title = "On singular moduli that are S-units",
abstract = "Recently Yu. Bilu, P. Habegger and L. K\{"}uhne proved that no singular modulus can be a unit in the ring of algebraic integers. In this paper we study for which sets $S$ of prime numbers there is no singular modulus that is an $S$-units. Here we prove that when the set $S$ contains only primes congruent to 1 modulo 3 then no singular modulus can be an $S$-unit. We then give some remarks on the general case and we study the norm factorizations of a special family of singular moduli.",
author = "Francesco Campagna",
year = "2021",
doi = "10.1007/s00229-020-01230-1",
language = "English",
volume = "166",
pages = "73–90",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer",

}

RIS

TY - JOUR

T1 - On singular moduli that are S-units

AU - Campagna, Francesco

PY - 2021

Y1 - 2021

N2 - Recently Yu. Bilu, P. Habegger and L. K\"uhne proved that no singular modulus can be a unit in the ring of algebraic integers. In this paper we study for which sets $S$ of prime numbers there is no singular modulus that is an $S$-units. Here we prove that when the set $S$ contains only primes congruent to 1 modulo 3 then no singular modulus can be an $S$-unit. We then give some remarks on the general case and we study the norm factorizations of a special family of singular moduli.

AB - Recently Yu. Bilu, P. Habegger and L. K\"uhne proved that no singular modulus can be a unit in the ring of algebraic integers. In this paper we study for which sets $S$ of prime numbers there is no singular modulus that is an $S$-units. Here we prove that when the set $S$ contains only primes congruent to 1 modulo 3 then no singular modulus can be an $S$-unit. We then give some remarks on the general case and we study the norm factorizations of a special family of singular moduli.

U2 - 10.1007/s00229-020-01230-1

DO - 10.1007/s00229-020-01230-1

M3 - Journal article

VL - 166

SP - 73

EP - 90

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

ER -

ID: 257327688