High Degree Diophantine Equation c^q=a^p+b^p

Details High Degree Diophantine Equation c^q=a^p+b^p High Degree Diophantine Equation c^q=a^p+b^p

2008-09-12

arxiv.org/abs/0809.2293v28

Mathematics

General Mathematics

14 pages, v21 elementary change,v21 achieved proof,v24 a corection, v27 renew terminology

Scientific paper

The main idea is simply calculating integer functions in module (Modulated Function and digital function). This article studies power and exponent functions and logarithm function between integer modules, studies module in complex numbers, the analytic method of digit by digit, modular integration and differentials in discrete subspace. Finally prove a result of non-solution of Diophantine Equation $a^p+b^p=c^q$: $a,b>0,(a,b)=(b,c)=1,p,q\geq41$, $p$ is prime.

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