»ã±¨±êÌâ (Title)£ºDiophantine m-tuples £¨¶ª·¬Í¼mÔª×飩
»ã±¨ÈË (Speaker)£º ºÎ²¨ ½ÌÊÚ£¨°¢°Óʦ·¶Ñ§Ôº£©
»ã±¨¹¦·ò (Time)£º2023Äê6ÔÂ19ÈÕ (ÖÜÒ») 15:00-16:00
»ã±¨µØÖ· (Place)£ºÐ£±¾²¿D106
Ô¼ÇëÈË(Inviter)£ºÃÏãìÑó
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A set of positive integers $\{a_1, a_2,¡,a_m \}$ is called a Diophantine $m$-tuples if a_i*a_j + 1 is a perfect square for $1 \leq i<j \leq m$. It is known that there is no diophantine quintuple (5-tuple). In this talk, we will introduce recent progress and results.