Bibliographic Details
| Title: |
Extended modular functions and definite form class groups. |
| Authors: |
Jung, Ho Yun1 (AUTHOR) hoyunjung@dankook.ac.kr, Koo, Ja Kyung2 (AUTHOR) jkgoo@kaist.ac.kr, Shin, Dong Hwa3 (AUTHOR) dhshin@hufs.ac.kr, Shin, Gyucheol4 (AUTHOR) sgc7982@gmail.com |
| Source: |
Journal of Number Theory. Mar2026, Vol. 280, p808-824. 17p. |
| Subjects: |
Modular functions, Galois theory, Parameterization, Quadratic fields |
| Abstract: |
For a positive integer N , we define an extended modular function of level N motivated by physics and investigate its fundamental properties. Let K be an imaginary quadratic field, and let O be an order in K of discriminant D. Let K O , N denote the ray class field of O modulo N O. For N ≥ 3 , we provide an explicit description of the Galois group Gal (K O , N / Q) using special values of extended modular functions of level N and the definite form class group of discriminant D and level N. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
