Open Access𝐂²-saddle method and Beukers’ integral
Author(s) -
Masayoshi Hata
Publication year - 2000
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-00-02432-6
Subject(s) - saddle , algorithm , annotation , class (philosophy) , mathematics , logarithm , computer science , artificial intelligence , mathematical analysis , mathematical optimization
We give good non-quadraticity measures for the values of logarithm at specific rational points by modifying Beukers’ double integral. The two-dimensional version of the saddle method, which we call C 2 \mathbf {C}^{2} -saddle method, is applied.