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class-numbers-cuda

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by cahlen mit
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Class Numbers of Real Quadratic Fields

Computes class numbers h(d) for fundamental discriminants d using continued fraction regulator + Euler product L(1, chi_d).

Usage

import torch
from kernels import get_kernel

kernel = get_kernel("cahlen/class-numbers-cuda")
result = class_numbers.compute(discriminants)

Compile (standalone)

nvcc -O3 -arch=sm_90 -o class_numbers class_numbers/class_numbers_v2.cu -lm

Results

All computation results are open:

Citation

@misc{humphreys2026bigcompute,
  author = {Humphreys, Cahlen},
  title = {bigcompute.science: GPU-Accelerated Computational Mathematics},
  year = {2026},
  url = {https://bigcompute.science}
}

Human-AI collaborative. Not peer-reviewed. All code and data open.