英语语法分析

Diophantine equation; prime; integer solution; Legendre symbol; congruence.

丢番图方程；素数；整数解；勒让德符号；同余。

"France symbolises a cultural wonder, industrial know-how, the good life," said architect Legendre.

“法国象征文化奇迹、工业强国、美好生活，”建筑师勒让德说。

This paper demonstrates the generalized Rolle theorem and discussed the zero of Legendre polynomials.

对广义罗尔定理进行了证明，并应用广义罗尔定理讨论了勒让德多项式的零点。