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Glasnik matematički, Vol. 59 No. 2, 2024.

Original scientific paper

https://doi.org/10.3336/gm.59.2.04

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

Iva Kodrnja ; Faculty of Geodesy, University of Zagreb, 10 000 Zagreb, Croatia
Helena Koncul ; Faculty of Civil Engineering, University of Zagreb, 10 000 Zagreb, Croatia

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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.

Keywords

Modular forms, modular curves, projective curves, Hilbert polynomial

Hrčak ID:

325173

URI

https://hrcak.srce.hr/325173

Publication date:

27.12.2024.

Visits: 0 *

Publication date: 15 December 2024

Volume: Vol 59

Issue: Svezak 2

Pages: 313-325

DOI: 10.3336/gm.59.2.04

Article Information (continued)

Categories:

Subject: Izvorni znanstveni članak

Keywords:

Keyword: Modular forms, modular curves, projective curves, Hilbert polynomial

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

Iva Kodrnja[1]

Email: iva.kodrnja@geof.unizg.hr

Helena Koncul[2]

Email: helena.koncul@grad.unizg.hr

 

[1] Faculty of Geodesy, University of Zagreb, 10 000 Zagreb, Croatia

[2] Faculty of Civil Engineering, University of Zagreb, 10 000 Zagreb, Croatia

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.

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