Ayşe ALACA, Şaban ALACA, Zafer Selcuk AYGIN

153129

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

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

FATEMEH AHANGARI

Ömür Kivanç KÜRKÇÜ, Ersin ASLAN, Mehmet SEZER

Some classes of harmonic mappings with analytic part defined by subordination

Shuhai LI, Ma LI NA, Ao EN, Tang HUO

Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial

Adnan CANBULAT, F. Müge SAKAR

Fethiye Müge SAKAR, Adnan CANBULAT

On a pair of Ramanujan’s modular equations and P -Q theta functions of level 35

Anusha THIPPESHA, Kaliyur Ranganna VASUKI

On the composition and exterior products of double forms and p-pure manifolds

Abdelhadi BELKHIRAT, Mohammed LABBI

Properties in $L_p$ of root functions for a nonlocal problem with involution

Leonid V. KRITSKOV, Makhmud A. SADYBEKOV, Abdizhahan M. SARSENBI

Sedat AKLEYLEK, Meryem SOYSALDI

On the starlikeness of p-valent functions

Nak Eun CHO, Janusz SOKÓŁ, Mamoru NUNOKAWA, Oh Sang KWON