Add to ORKGWaring’s problem with small prime factors by Gergely Harcos (Budapest) 1. Introduction. As a natural continuation of the results of Hardy, Littlewood and Vinogradov, much attention has been paid in the last 60 years to the Waring–Goldbach problem, the problem of representing natural numbers as a sum of prime powers. This is the main subject of Hua’s book [7]. Stronger results can be drawn if one restricts to almost prime power
AbstractFor k a non-negative integer, let Pk(n) denote the kth largest prime factor of n where P0(n)...
AbstractGiven a positive integer l, this paper establishes the existence of constants η > 1 and δ > ...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...
Abstract. We investigate the Waring-Goldbach problem of representing a positive integer n as the sum...
Arne Winterhof (Braunschweig) 1. Introduction. Let g(k, pn) be the smallest s such that every elemen...
We reduce the number of variables required to guarantee the validity of the classical asymptotic for...
We obtain a lower bound for the minimum over positive integers such that the sum of certain powers o...
abstract: In this paper, we study the prime factorizations of numbers slightly larger than the facto...
AbstractIn this paper, it is proved that every sufficiently large odd integer is a sum of a prime, f...
Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number th...
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well ap...
Abstract In this paper, we prove the following estimate on exponential sums over primes: Let k ≥ 1
Abstract. We investigate sums of mixed powers involving two squares, two cubes, and various higher p...
In this paper, we investigate in various ways the representation of a large natural number as a sum ...
AbstractLet p be a prime k|p−1, t=(p−1)/k and γ(k,p) be the minimal value of s such that every numbe...
AbstractFor k a non-negative integer, let Pk(n) denote the kth largest prime factor of n where P0(n)...
AbstractGiven a positive integer l, this paper establishes the existence of constants η > 1 and δ > ...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...
Abstract. We investigate the Waring-Goldbach problem of representing a positive integer n as the sum...
Arne Winterhof (Braunschweig) 1. Introduction. Let g(k, pn) be the smallest s such that every elemen...
We reduce the number of variables required to guarantee the validity of the classical asymptotic for...
We obtain a lower bound for the minimum over positive integers such that the sum of certain powers o...
abstract: In this paper, we study the prime factorizations of numbers slightly larger than the facto...
AbstractIn this paper, it is proved that every sufficiently large odd integer is a sum of a prime, f...
Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number th...
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well ap...
Abstract In this paper, we prove the following estimate on exponential sums over primes: Let k ≥ 1
Abstract. We investigate sums of mixed powers involving two squares, two cubes, and various higher p...
In this paper, we investigate in various ways the representation of a large natural number as a sum ...
AbstractLet p be a prime k|p−1, t=(p−1)/k and γ(k,p) be the minimal value of s such that every numbe...
AbstractFor k a non-negative integer, let Pk(n) denote the kth largest prime factor of n where P0(n)...
AbstractGiven a positive integer l, this paper establishes the existence of constants η > 1 and δ > ...
This thesis consists of three topics. The first one is on quadratic Waring-Goldbach problems. The se...