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摘要
Jesmanowicz [ 9] conjectured that, for positive integers m and n with m> n, gcd( m, n) = 1 and m = n ( mod 2), the exponential Diophantine equation ( m 2 - n 2) x + ( 2mn) y = ( m 2 + n 2) z has only the positive integer solution ( x, y, z) = ( 2, 2, 2). We prove the conjecture for 2 mn and m + n has a prime factor p with p = 1 ( mod 16).
- 出版日期2018-10
- 单位广东外语外贸大学
