resume14_4. 52KB Jun 04 2011 12:07:05 AM

Journal de Th´

eorie des Nombres

de Bordeaux

17

_{(2005), 925–948}

On the exceptional set of Lagrange’s equation

with three prime and one almost–prime variables

par

Doychin TOLEV

R´esum´e. _{Nous consid´erons une version affaiblie de la conjecture}

sur la repr´esentation des entiers comme somme de quatre carr´es de nombres premiers.

Abstract. _{We consider an approximation to the popular}

con-jecture about representations of integers as sums of four squares of prime numbers.

DoychinTolev

Department of Mathematics Plovdiv University “P. Hilendarski” 24 “Tsar Asen” str.

Plovdiv 4000, Bulgaria

E-mail_{:dtolev@pu.acad.bg}