Extreme values of class group L-functions

2025/09/05 by Campos-Vargas, João
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2509.05473

Abstract

We give a lower bound for the maximum value of class group L-functions attached to ℚ(√(-D)) at the central point and show that this value is on average at least exp(δ√((log D log log log D)/(log log D)) ) for any δ< (1)/(4).

Citations

• Large values of quadratic Dirichlet L-functions
• The maximum size of L-functions

Related

• Extreme values of quadratic Dirichlet L-functions
• Joint Extreme values of L-functions
• Extreme values of quadratic Dirichlet L-functions with prime-related moduli
• Extreme values of class numbers of real quadratic fields
• An extremal problem for univalent functions