On the equation x_1^2+x_2^2+x_3^2+x_4^2=N with variables such that x_1+x_2+x_3+x_4+1 is an almost-prime

In: Tatra Mountains Mathematical Publications, vol. 59, no. 2

T. L. Todorova - D. I Tolev

Detaily:

Rok, strany: 2014, 1 - 26

Kľúčové slová:

Lagrange's equation, almost-primes

O článku:

We consider Lagrange’s equation x_1^2+x_2^2+x_3^2+x_4^2=N, where N is a sufficiently large and odd integer, and prove that it has a solution in natural numbers x_1,…,x_4 such that x_1+x_2+x_3+x_4+1 has no more than 48 prime factors.

Ako citovať:

ISO 690:

Todorova, T., Tolev, D. 2014. On the equation x_1^2+x_2^2+x_3^2+x_4^2=N with variables such that x_1+x_2+x_3+x_4+1 is an almost-prime. In Tatra Mountains Mathematical Publications, vol. 59, no.2, pp. 1-26. 1210-3195.

APA:

Todorova, T., Tolev, D. (2014). On the equation x_1^2+x_2^2+x_3^2+x_4^2=N with variables such that x_1+x_2+x_3+x_4+1 is an almost-prime. Tatra Mountains Mathematical Publications, 59(2), 1-26. 1210-3195.