An application of the p-adic analytic class number formula

作者:Fieker Claus*; Zhang Yinan
来源:LMS Journal of Computation and Mathematics, 2016, 19(1): 217-228.
DOI:10.1112/S1461157016000097

摘要

We propose an algorithm to verify the p-part of the class number for a number field K, provided K is totally real and an abelian extension of the rational field Q, and p is any prime. On fields of degree 4 or higher, this algorithm has been shown heuristically to be faster than classical algorithms that compute the entire class number, with improvement increasing with larger field degrees.

  • 出版日期2016-1