AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence conditions are the sum of four cubes of primes. Using the circle method and sieves, we prove that the conjecture is true for at least 1.5% of the positive integers satisfying the necessary conditions
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
AbstractIn this paper, it is proved that every sufficiently large odd integer is a sum of a prime, f...
Abstract. We study the representations of large integers n as sums p21 + · · ·+p2s, where p1,..., p...
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
It is conjectured that every sufficiently large integer $N\equiv 4\pmod{24}$ should be a sum of the ...
AbstractIn this paper, we prove that every sufficiently large positive integer satisfying some neces...
Lagrange proved that every positive integer is the sum of four squares of natural numbers. Although ...
In this paper, we prove that every sufficiently large positive integer satisfying some neces-sary co...
A long-standing conjecture states that every positive integer greater than 454 is a sum of at most s...
Abstract. In this paper, we prove that all positive integers up toN but at mostO(N17/18+ε) exception...
AbstractIn this paper, we are able to sharpen Hua's classical result by showing that each sufficient...
In this thesis we use recent versions of the Circle Method to prove three theorems in the area of ad...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
We prove that the theory IΔ0, extended by a weak version of the Δ0-Pigeonhole Principle, proves that...
AbstractWe prove that the density of integers ≡2 (mod24), which can be represented as the sum of two...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
AbstractIn this paper, it is proved that every sufficiently large odd integer is a sum of a prime, f...
Abstract. We study the representations of large integers n as sums p21 + · · ·+p2s, where p1,..., p...
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
It is conjectured that every sufficiently large integer $N\equiv 4\pmod{24}$ should be a sum of the ...
AbstractIn this paper, we prove that every sufficiently large positive integer satisfying some neces...
Lagrange proved that every positive integer is the sum of four squares of natural numbers. Although ...
In this paper, we prove that every sufficiently large positive integer satisfying some neces-sary co...
A long-standing conjecture states that every positive integer greater than 454 is a sum of at most s...
Abstract. In this paper, we prove that all positive integers up toN but at mostO(N17/18+ε) exception...
AbstractIn this paper, we are able to sharpen Hua's classical result by showing that each sufficient...
In this thesis we use recent versions of the Circle Method to prove three theorems in the area of ad...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
We prove that the theory IΔ0, extended by a weak version of the Δ0-Pigeonhole Principle, proves that...
AbstractWe prove that the density of integers ≡2 (mod24), which can be represented as the sum of two...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
AbstractIn this paper, it is proved that every sufficiently large odd integer is a sum of a prime, f...
Abstract. We study the representations of large integers n as sums p21 + · · ·+p2s, where p1,..., p...
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