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

Csóké Lajos: Sturm tételének gyakorlati alkalmazásáról.

- M A/rO < 2 p3y where C7) y - fc

iC

l -^flü— * lo

§. < for anV sufficiently large n. We know that CB) J 1 < log log x + c

2 p^x I thus by C7) and C8) CO) AJCII) < log log log n + c

g follows. Now we give an estimation for A^tn) supposing that n is sufficiently large. It is enough to deal with the sum (10) A;Cn) lb 2 ' P d j n rC p)=d d>log n pSn p<d

3 i 1 I-, ti 1 J - S J — ' — < c d I n rCp)«d d>log n u d d>log n p^d

3 and so Cll) A (n) < AlCn) + c . 2 2 4We can write A'Cm) in the form 2 <12> AjCní - 2 2 } * 0 (,-»—) , I =o where N is an integer defined by M + 1 Clog n)

2 < n S Clog n)

z and the summation in £ is extended for primes p for which l