On the Sign Changes of [xxx]
Theorem. If all nont r iv ia l zeros ß + iy of £(s) wi th |-;| < Τ lie on the crit ical line σ= 1/2 and a rc simple then [ι 1 i+ 1 1 Υ ι , y ι Jif Y >c(T). Us ing the c o m p u t a t i o n a l result of R. P. Brent we get sign changes in every interval [ y ' ~ 1 0 , V] for y > c , (explicit cons tan t ) . T h e fo rmer best result , d u e to I. K á t a i gua ran t ee s sign changes in the intervals of fo rm [y ( --\ y], y > ¡ 2 . AMS-Classification: 10 Ν 44