Weber Functions and Weierstrass Sigma Function Associated with Hecke Operators
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Kos, Yunanistan, 19 - 25 Eylül 2012, cilt.1479, ss.356-359, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1479
- Doi Numarası: 10.1063/1.4756137
- Basıldığı Şehir: Kos
- Basıldığı Ülke: Yunanistan
- Sayfa Sayıları: ss.356-359
- Anahtar Kelimeler: Dedekind eta function, Hecke operators, Weber functions, Weierstrass sigma-function
- Akdeniz Üniversitesi Adresli: Hayır
Özet
In this paper we investigate the action of the Hecke operators to families of Weber functions and the Weierstrass sigma-function. We prove that the function of -eta(2)/8 + logs sigma (1/2, tau) is an eigenfunction (or eigenform) of the Hecke operator where eta(2) is a variable depending on tau in definition of Weierstrass sigma-function.