We find all the eta quotients in the spaces $M_{1}\left(\Gamma_{0}(20), \left(\frac{d}{*}\right)\right)$ with $d = -4, -20$ of modular forms, and we determine their Fourier coefficients, where $\left(\frac{d}{*}\right)$ is the Legendre-Jacobi-Kronecker symbol in the group of Dirichlet characters modulo $20$ with values in the rational field $\mathbb{Q}$.
| Mualliflar | Bouchikhi, A., Mezroui, S. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 42-48 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-5 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-5 · Maqolaning asl sahifasi
Eta quotients, Modular forms, Fourier coefficients of cusp forms, eta function
| APA | Bouchikhi, A., & Mezroui, S. (2026). Eta quotients of level $20$ and weight $1$. O‘zbekiston matematika jurnali, 70(2), 42-48. https://doi.org/10.29229/uzmj.2026-2-5 |
|---|---|
| GOST (OAK) | Bouchikhi, A., Mezroui, S. Eta quotients of level $20$ and weight $1$ // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 42-48. – DOI: 10.29229/uzmj.2026-2-5. |
| MLA | Bouchikhi, A., and Mezroui, S. “Eta quotients of level $20$ and weight $1$.” O‘zbekiston matematika jurnali, 70(2), 42-48, 2026. https://doi.org/10.29229/uzmj.2026-2-5 |
| Chicago | Bouchikhi, A., and Mezroui, S. “Eta quotients of level $20$ and weight $1$.” O‘zbekiston matematika jurnali, 70(2), 42-48 (2026). https://doi.org/10.29229/uzmj.2026-2-5 |
| Harvard | Bouchikhi, A., and Mezroui, S (2026) ‘Eta quotients of level $20$ and weight $1$’, O‘zbekiston matematika jurnali, 70(2), 42-48. https://doi.org/10.29229/uzmj.2026-2-5 |
| BibTeX | @article{bouchikhia2026,
title = {Eta quotients of level $20$ and weight $1$},
author = {Bouchikhi, A. and Mezroui, S.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {42-48},
doi = {10.29229/uzmj.2026-2-5},
url = {https://doi.org/10.29229/uzmj.2026-2-5}
} |
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