Bibliographic Details
| Title: |
A Kronecker congruence relation for modular functions of higher level and genus. |
| Authors: |
Jung, Ho Yun1 (AUTHOR) hoyunjung@dankook.ac.kr, Koo, Ja Kyung2 (AUTHOR) jkgoo@kaist.ac.kr, Shin, Dong Hwa1,3 (AUTHOR) dhshin@hufs.ac.kr |
| Source: |
Journal of Number Theory. Jan2026, Vol. 278, p875-892. 18p. |
| Subjects: |
Modular functions, Congruence lattices, Holomorphic functions, Elliptic functions, Polynomials |
| Abstract: |
Let j be the elliptic modular function, a weakly holomorphic modular function for SL 2 (Z). Weber showed that for each prime p the modular polynomial Φ p (x , y) of j satisfies what is known as the Kronecker congruence relation Φ p (x , y) ≡ (x p − y) (x − y p) (mod p Z [ x , y ]). We give a generalization of this congruence applicable to certain weakly holomorphic modular functions of higher level in terms of integrality over Z [ j ]. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
