论文标题
关于加泰罗尼亚猜想的标准
On a criterion for Catalan's Conjecture
论文作者
论文摘要
我们给出了P. Mihailescu的定理的新证明，该证明表示方程$ x^p-y^q = 1 $无法与$ x，y $ intectals和$ p，q $奇数的数量，除非$ p^q \ equiv p^q \ equiv p \ equiv p \ equiv p \ equiv p \ pm pm^p^2} $ {q^2} $和$ q^p \ equiv equiv e equ q q \ equ Q \ pmod}
We give a new proof of a theorem by P. Mihailescu which states that the equation $x^p-y^q=1$ is unsolvable with $x, y$ integral and $p, q$ odd primes, unless the congruences $p^q \equiv p\pmod{q^2}$ and $q^p\equiv q \pmod{p^2}$ hold.
