Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 1989. 19/8. (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 19)

K. Dialek — A . Grytzuk: Some remarks on certain diophontine equations

- 24 C2.10) A = <7. *rv í' y; '•Z> X2 y2' n +1 It is easy to see that from C2.10) C 2.11) A - 1 [ [

yk

xi ~ xk

yJ i^i<k5n+l det [x. , y

t [

xk lil<k5n+l follows. Thus by (2.11) and Ca) it follows that A*0 therefore by Crammer's ruele we obtain and C2.

12) m • A' 2 ~Ä m » A' n • 1 3 ' ai " Sine:« a eZ, from C2.12) we hava C2.13) A | m • A£ for every i=i

,2,... ,n+i But Cm,A)=l, since from (b) from <2.13) we get m > det f

xl »

yi [V

yk C2.14) A | A> for every i=l

,2,.. . ,n+i Thus by C2.14) and C2.

12) it follows A' A' where A' i TT « 2 for every 1=1,2,...,

n+1, and