Polynomials vanishing on a basis of \(S_m(\Gamma_0(N))\)

In this paper we compute the bases of homogeneous polynomials of degree \(d\) such that they vanish on cuspidal modular forms of even weight \(m\geq 4\) that form a basis for \(S_m(\Gamma_0(N))\). Among them we find the irreducible ones.

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Publication Details

Journal
Glasnik Matematicki
Published
2024-12-15
DOI
https://doi.org/10.3336/gm.59.2.04
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Polynomials vanishing on a basis of \(S_m(\Gamma_0(N))\)

Helena Koncul, Iva Kodrnja
Glasnik Matematicki
Advanced Algebra and Geometry
article

Polynomials vanishing on a basis of \(S_m(\Gamma_0(N))\)

Helena Koncul, Iva Kodrnja
article en

Abstract

In this paper we compute the bases of homogeneous polynomials of degree \(d\) such that they vanish on cuspidal modular forms of even weight \(m\geq 4\) that form a basis for \(S_m(\Gamma_0(N))\). Among them we find the irreducible ones.

Glasnik MatematickiVol. 59(2)
University of Zagreb (HR)
Hrvatska Zaklada za Znanost
Openalex Percentile: Top 60%
Advanced Algebra and Geometry
DOIOpen Access PDFOpenAlex
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Polynomials vanishing on a basis of \(S_m(\Gamma_0(N))\) — Helena Koncul, Iva Kodrnja · Glasnik Matematicki (2024) | TGRS Research Map | TGRS