April 24, 2025Hardy-Ramanujan JournalOpen Access

Explicit formulas for the Fourier coefficients of a class of eta quotients

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Explicit formulas for Fourier coefficients were derived, enhancing the understanding of eta quotients.
The approach involved the application of results from ternary quadratic forms, which improve the mathematical framework.
This analysis utilized advanced mathematical theory, focusing on eta quotients and their Fourier coefficients effectively and accurately in calculations and applications of interest. The findings could pave the way for further research in number theory and related fields, where eta quotients play a significant role.

Implication

Mathematical analysis provides explicit formulas for Fourier coefficients in eta quotients, suggesting new insights into their properties.

Abstract

We determine explicit formulas for the Fourier coefficients of a class of eta quotients by making use of some results from the theory of ternary quadratic forms.

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Cite This Study

Münkel et al. (2025) studied this question.

synapsesocial.com/papers/68e55b4ce2b3180350ef892d https://doi.org/10.46298/hrj.2025.13676

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Implication

Mathematical analysis provides explicit formulas for Fourier coefficients in eta quotients, suggesting new insights into their properties.

Abstract

We determine explicit formulas for the Fourier coefficients of a class of eta quotients by making use of some results from the theory of ternary quadratic forms.

Explicit formulas for the Fourier coefficients of a class of eta quotients

Key Points

Implication

Abstract

Discussion

Cite This Study

Explicit formulas for the Fourier coefficients of a class of eta quotients

Key Points

Implication

Abstract

Discussion

Cite This Study

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