O‘zbekiston matematika jurnali Том 70 № 2 (2026) · с. 42-48

Eta quotients of level $20$ and weight $1$

Bouchikhi, A., Mezroui, S.

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Аннотация

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 $\mathbb{Q}$.

Eta quotientsModular formsFourier coefficients of cusp formseta function

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APA 7
Bouchikhi, A. & Mezroui, S. (2026). Eta quotients of level $20$ and weight $1$. O‘zbekiston matematika jurnali, 70(2), 42-48.
GOST R 7.0.5
Bouchikhi, A., Mezroui, S. Eta quotients of level $20$ and weight $1$ // O‘zbekiston matematika jurnali. 2026. Т. 70. № 2. С. 42-48.
BibTeX
@article{a.2026,
  author  = {Bouchikhi, A. and Mezroui, S.},
  title   = {Eta quotients of level $20$ and weight $1$},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {2},
  pages   = {42-48}
}
RIS
TY  - JOUR
AU  - Bouchikhi, A.
AU  - Mezroui, S.
TI  - Eta quotients of level $20$ and weight $1$
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 2
SP  - 42
EP  - 48
ER  -