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Proof of class number formulae by machine

A note on a Chowla’s conjecture

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Abstract

As an attempt to follow the direction of machine proof, a personal computer LE0386/25 is used to prove some class number formulae for certain imaginary quadratic number fields \({\Bbb Q}\left( {\sqrt p } \right)\),q=3, 7, 11, 19, 23, 31, 43 and 47) if the real quadratic number field \({\Bbb Q}\left( {\sqrt { - p} } \right)\) has class number one for a primep = 4N 2 + 1 (N is a positive integer).

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Authors and Affiliations

  1. Department of Mathematics, Tongji University, 200092, Shanghai, China

    Guangheng Ji & Hongwen Lu

Authors
  1. Guangheng Ji
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  2. Hongwen Lu
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Additional information

Project supported by the National Natural Science Foundation of China.

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Ji, G., Lu, H. Proof of class number formulae by machine. Sci. China Ser. A-Math. 41, 371–378 (1998). https://doi.org/10.1007/BF02879028

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  • DOI: https://doi.org/10.1007/BF02879028

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