A Cusp Form Example as An Eta Product
International Journal of Advanced Multidisciplinary Research and Studies, cilt.2, sa.2, ss.347-349, 2022 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2 Sayı: 2
- Basım Tarihi: 2022
- Dergi Adı: International Journal of Advanced Multidisciplinary Research and Studies
- Sayfa Sayıları: ss.347-349
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
Modular forms are important in several branches of
mathematics especially in number theory and they have
interesting properties. For example, they have lots of
internal symmetries and they are finite vector spaces over
complex field. Dedekind-Eta function is one of the most
important examples for half integral weight of modular
forms. In this short note, we give an example for cusp form
which is subspace of modular forms by using product of
certain Dedekind-Eta functions. Moreover, some codes are
given that using in Magma Computational Algebra System.
This work is a part of master thesis of the first and the
second author.