A Note on genus problem and conjugation of the normalizer
Yıl 2017,
Cilt: 5 Sayı: 4, 117 - 122, 01.10.2017
Bahadır Ozgur Guler
Serkan Kader
Öz
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)
Kaynakça
- M. Akbaş, D. Singerman, The Signature of the normalizer of Γ_0 (N), London Math. Soc. Lecture Note Series , 165, CUP, (1992), 77-86.
- H. Helling, On the commensurability class of rational modular group, J. London Math. Soc., 2, (1970), 67-72.
- M. L. Lang, The Signature of Γ_0^+ (N), Journal of Algebra , 241, (2001), 146-185.
- C. Machlaclan, Groups of units of zero ternary quadratic forms, Proceeding of the Royal Society of Edinburg, 88A, (1981), 141-157.
- G. Shimura, Inroduction to the arithmetic theory of automorphic functions, Princeton Univ. Press, 1971.
Yıl 2017,
Cilt: 5 Sayı: 4, 117 - 122, 01.10.2017
Bahadır Ozgur Guler
Serkan Kader
Kaynakça
- M. Akbaş, D. Singerman, The Signature of the normalizer of Γ_0 (N), London Math. Soc. Lecture Note Series , 165, CUP, (1992), 77-86.
- H. Helling, On the commensurability class of rational modular group, J. London Math. Soc., 2, (1970), 67-72.
- M. L. Lang, The Signature of Γ_0^+ (N), Journal of Algebra , 241, (2001), 146-185.
- C. Machlaclan, Groups of units of zero ternary quadratic forms, Proceeding of the Royal Society of Edinburg, 88A, (1981), 141-157.
- G. Shimura, Inroduction to the arithmetic theory of automorphic functions, Princeton Univ. Press, 1971.
Toplam 5 adet kaynakça vardır.