Ayşe ALACA, Şaban ALACA, Zafer Selcuk AYGIN

Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$

Öz We find all the eta quotients in the spaces $M_1 \Big(\Gamma_0(12), \left(\frac{d}{\cdot}\right) \Big)$ ($d=-3, -4$) of modular forms and determine their Fourier coefficients, where $\left(\frac{d}{\cdot}\right)$ is the Legendre-Jacobi-Kronecker symbol.

Anahtar Kelimeler:

Dedekind eta function, eta quotients, Eisenstein series, modular forms, cusp forms, Fourier coefficients, Fourier series

Tam Metin

Kaynak Göster

Bibtex	`@ { tbtkmath575238, journal = {Turkish Journal of Mathematics}, issn = {1300-0098}, eissn = {1303-6149}, address = {}, publisher = {TÜBİTAK}, year = {2019}, volume = {43}, pages = {1 - 8}, doi = {}, title = {Eta quotients of level \$\\mathbf\{12\}\$ and weight \$\\mathbf\{1\}\$}, key = {cite}, author = {Alaca, Ayşe and Alaca, Şaban and Aygın, Zafer Selcuk} }`
APA	Alaca, A , Alaca, Ş , Aygın, Z . (2019). Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$ . Turkish Journal of Mathematics , 43 (1) , 1-8 .
MLA	Alaca, A , Alaca, Ş , Aygın, Z . "Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$" . Turkish Journal of Mathematics 43 (2019 ): 1-8 <
Chicago	Alaca, A , Alaca, Ş , Aygın, Z . "Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$". Turkish Journal of Mathematics 43 (2019 ): 1-8
RIS	TY - JOUR T1 - Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$ AU - Ayşe Alaca , Şaban Alaca , Zafer Selcuk Aygın Y1 - 2019 PY - 2019 N1 - DO - T2 - Turkish Journal of Mathematics JF - Journal JO - JOR SP - 1 EP - 8 VL - 43 IS - 1 SN - 1300-0098-1303-6149 M3 - UR - Y2 - 2021 ER -
EndNote	%0 Turkish Journal of Mathematics Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$ %A Ayşe Alaca , Şaban Alaca , Zafer Selcuk Aygın %T Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$ %D 2019 %J Turkish Journal of Mathematics %P 1300-0098-1303-6149 %V 43 %N 1 %R %U
ISNAD	Alaca, Ayşe , Alaca, Şaban , Aygın, Zafer Selcuk . "Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$". Turkish Journal of Mathematics 43 / 1 (Şubat 2019): 1-8 .
AMA	Alaca A , Alaca Ş , Aygın Z . Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$. Turkish Journal of Mathematics. 2019; 43(1): 1-8.
Vancouver	Alaca A , Alaca Ş , Aygın Z . Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$. Turkish Journal of Mathematics. 2019; 43(1): 1-8.
IEEE	A. Alaca , Ş. Alaca ve Z. Aygın , "Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$", Turkish Journal of Mathematics, c. 43, sayı. 1, ss. 1-8, Şub. 2019