Lower Bound for the Class Number of Q49m2+4m
Rahaf Jihny, Boushra Darrag, Ahmad Issa · International Journal of Mathematics and Mathematical Sciences · 2025
In this paper, we obtain an explicit lower bound for the class number of real quadratic field , where D = 49 m 2 + 4 m is a square‐free positive integer and m ≡ 2 (mod 7) be an odd positive integer. The main tools used are special values of zeta functions for ideal classes of the respective real quadratic fields.