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Proof of class number formulae by machine --A note on a Chowla's conjecture

Proof of class number formulae by machine --A note on a Chowla's conjecture
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摘要 As an attempt to follow the direction of machine proof, a personal computer LEO386/25 is used to prove some class number formulae for certain imaginary quadratic number fields Q (p) , ( q =3, 7, 11, 19, 23, 31, 43 and 47) if the real quadratic number field Q (-p) has class number one for a prime p=4N 2+1 (N is a positive integer). As an attempt to follow the direction of machine proof, a personal computer LEO386/25 is used to prove some class number formulae for certain imaginary quadratic number fields Q (p) , ( q =3, 7, 11, 19, 23, 31, 43 and 47) if the real quadratic number field Q (-p) has class number one for a prime p=4N 2+1 (N is a positive integer).
出处 《Science China Mathematics》 SCIE 1998年第4期371-378,共8页 中国科学:数学(英文版)
基金 ProjectsupportedbytheNationalNaturalScienceFoundationofChina .
关键词 QUADRATIC fields class number continued FRACTIONS computer. quadratic fields, class number, continued fractions, computer.
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