| 关于丢番图方程a~m-kb~n=2和a~m-lb~n=1 |
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| 引用本文： | 孙琦. 关于丢番图方程a~m-kb~n=2和a~m-lb~n=1[J]. 四川大学学报(自然科学版), 1989, 0(1) |
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| 作者姓名： | 孙琦 |
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| 摘 要： | 丢番图方程α~m-kb=2和α~m-lb=1,其中k,l是给定的正整数,m>1,n>1,2×mn,包含了群论和组合论中一些未解决的问题。对于以上方程,本文用关于Pell方程的St(?)rmer定理,给出若干定理和推论。
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| 关 键 词： | 丢番图方程 Pell方程 整数解 基本解 Strmer定理 |
ON THE DIOPHANTINE EQUATIONS am-kbn=2 AND am-lbn=1 |
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| Sun Qi. ON THE DIOPHANTINE EQUATIONS am-kbn=2 AND am-lbn=1[J]. Journal of Sichuan University (Natural Science Edition), 1989, 0(1) |
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| Authors: | Sun Qi |
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| Abstract: | The Diophantine equationswhere k be a given odd number, andwhere I be a given integer, containing some unsolved equations on group theory and combinato rial theory.For Diophantine equations (1) and(2) , we prove the following theorem.1. If equati n (1) has a positive integral solution such that then is the fundamental solution of2. If equation (2) has a positive integral solution such that , is the fundamental solution of |
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| Keywords: | Diophantine equation Pell equation. integer folution fundamontal solution Stormer theorem. |
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