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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Eta quotients of level 12 and weight 1

Ayşe ALACA
Şaban ALACA
Zafer Selçuk TUNCER
Pages
1–8
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We find all the eta quotients in the spaces $M_1(Gamma_0(12),;(frac d.));(d=-3,-4)$ of modular forms and determine their Fourier coefficients, where $(frac d.)$ is the Legendre–Jacobi–Kronecker symbol.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We find all the eta quotients in the spaces $M_1(Gamma_0(12),;(frac d.));(d=-3,-4)$ of modular forms and determine their Fourier coefficients, where $(frac d.)$ is the Legendre–Jacobi–Kronecker symbol.
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Key Findings & Data:We find all the eta quotients in the spaces $M_1(Gamma_0(12),;(frac d.));(d=-3,-4)$ of modular forms and determine their Fourier coefficients, where $(frac d.)$ is the Legendre–Jacobi–Kronecker symbol.
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Conclusion & Impact:We find all the eta quotients in the spaces $M_1(Gamma_0(12),;(frac d.));(d=-3,-4)$ of modular forms and determine their Fourier coefficients, where $(frac d.)$ is the Legendre–Jacobi–Kronecker symbol.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We find all the eta quotients in the spaces $M_1(Gamma_0(12),;(frac d.));(d=-3,-4)$ of modular forms and determine their Fourier coefficients, where $(frac d.)$ is the Legendre–Jacobi–Kronecker symbol.

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Cite This Article

ALACA, A., ALACA, Ş., TUNCER, Z. S. (2022). Eta quotients of level 12 and weight 1. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 1–8. https://ajindex.com/articles/608017

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References (11)

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