DOIAbstract
AbstractIn this paper, we prove that every sufficiently large positive integer satisfying some necessary congruence conditions can be represented by the sum of a fourth power of integer and twelve fourth powers of prime numbers
AbstractIn this paper, we prove that every sufficiently large positive integer satisfying some necessary congruence conditions can be represented by the sum of a fourth power of integer and twelve fourth powers of prime numbers
Waring’s problem with small prime factors by Gergely Harcos (Budapest) 1. Introduction. As a natural...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
Abstract. Recent progress on Vinogradov’s mean value theorem has resulted in improved estimates for ...
In this paper, we prove that every sufficiently large positive integer satisfying some neces-sary co...
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
It is conjectured that Lagrange’s theorem of four squares is true for prime variables, i.e. all posi...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...
AbstractIn this paper, it is proved that every sufficiently large odd integer is a sum of a prime, f...
Abstract. We investigate the Waring-Goldbach problem of representing a positive integer n as the sum...
We prove an upper bound for the number of representations of a positive integer N as the sum of four...
In this paper, it is proved that with at most O(N65/66) exceptions, all even positive integers up to...
Knowledge about number theory and prime numbersGoldbach's conjecture is one of the oldest open probl...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
We are concerned with the problem of finding the least s for which every large natural number n admi...
The representation symbol [a,b,c] is the statement that an integer of n-ic type a is congruent to th...
Waring’s problem with small prime factors by Gergely Harcos (Budapest) 1. Introduction. As a natural...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
Abstract. Recent progress on Vinogradov’s mean value theorem has resulted in improved estimates for ...
In this paper, we prove that every sufficiently large positive integer satisfying some neces-sary co...
AbstractIt is conjectured that all sufficiently large integers satisfying some necessary congruence ...
It is conjectured that Lagrange’s theorem of four squares is true for prime variables, i.e. all posi...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...
AbstractIn this paper, it is proved that every sufficiently large odd integer is a sum of a prime, f...
Abstract. We investigate the Waring-Goldbach problem of representing a positive integer n as the sum...
We prove an upper bound for the number of representations of a positive integer N as the sum of four...
In this paper, it is proved that with at most O(N65/66) exceptions, all even positive integers up to...
Knowledge about number theory and prime numbersGoldbach's conjecture is one of the oldest open probl...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
We are concerned with the problem of finding the least s for which every large natural number n admi...
The representation symbol [a,b,c] is the statement that an integer of n-ic type a is congruent to th...
Waring’s problem with small prime factors by Gergely Harcos (Budapest) 1. Introduction. As a natural...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
Abstract. Recent progress on Vinogradov’s mean value theorem has resulted in improved estimates for ...
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