Add to ORKGIt is conjectured that Lagrange’s theorem of four squares is true for prime variables, i.e. all positive integers n with n 4 ðmod 24Þ are the sum of four squares of primes. In this paper, the size for the exceptional set in the above conjecture is reduced to OðN38þeÞ
Goldbach’s conjecture is one of the oldest and best-known unsolved problems in number theory and all...
AbstractWe show that almost every natural numberMis the sum of four squares with all their prime fac...
In 1951, Linnik proved the existence of a constant $K$ such that every sufficiently large even numbe...
AbstractIt is conjectured that Lagrange's theorem of four squares is true for prime variables, i.e. ...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...
Lagrange proved that every positive integer is the sum of four squares of natural numbers. Although ...
It is conjectured that every sufficiently large integer $N\equiv 4\pmod{24}$ should be a sum of the ...
In this paper, we prove that every sufficiently large positive integer satisfying some neces-sary co...
AbstractIn this paper, we prove that every sufficiently large positive integer satisfying some neces...
We prove that the theory IΔ0, extended by a weak version of the Δ0-Pigeonhole Principle, proves that...
Knowledge about number theory and prime numbersGoldbach's conjecture is one of the oldest open probl...
This article provides a formalized proof of the so-called “the four-square theorem”, namely any natu...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135473/1/plms0001.pd
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
Goldbach’s conjecture is one of the oldest and best-known unsolved problems in number theory and all...
AbstractWe show that almost every natural numberMis the sum of four squares with all their prime fac...
In 1951, Linnik proved the existence of a constant $K$ such that every sufficiently large even numbe...
AbstractIt is conjectured that Lagrange's theorem of four squares is true for prime variables, i.e. ...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...
Lagrange proved that every positive integer is the sum of four squares of natural numbers. Although ...
It is conjectured that every sufficiently large integer $N\equiv 4\pmod{24}$ should be a sum of the ...
In this paper, we prove that every sufficiently large positive integer satisfying some neces-sary co...
AbstractIn this paper, we prove that every sufficiently large positive integer satisfying some neces...
We prove that the theory IΔ0, extended by a weak version of the Δ0-Pigeonhole Principle, proves that...
Knowledge about number theory and prime numbersGoldbach's conjecture is one of the oldest open probl...
This article provides a formalized proof of the so-called “the four-square theorem”, namely any natu...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135473/1/plms0001.pd
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
Goldbach’s conjecture is one of the oldest and best-known unsolved problems in number theory and all...
AbstractWe show that almost every natural numberMis the sum of four squares with all their prime fac...
In 1951, Linnik proved the existence of a constant $K$ such that every sufficiently large even numbe...