Results 11 to 20 of about 11,421,197 (96)

A density version of Waring-Goldbach problem

International Journal of Number Theory, 2023
In this paper, we study a density version of the Waring-Goldbach problem. Suppose that A is a subset of the primes, and the lower density of A in the primes is larger than 1/2. Let k be a positive integer other than 1, 2, 4, 8, and 9. We prove that every
Gao, Meng
core   +2 more sources

Waring-Goldbach problem in short intervals [PDF]

Israel Journal of Mathematics, 2019
Let $k\geq2$ and $s$ be positive integers. Let $\theta\in(0,1)$ be a real number. In this paper, we establish that if $s>k(k+1)$ and $\theta>0.55$, then every sufficiently large natural number $n$, subjects to certain congruence conditions, can be ...
Wang, Mengdi
core   +2 more sources

Sums of One Prime Power and Four Prime Cubes in Short Intervals

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
Let k⩾1 be an integer. In this study, we derive an asymptotic formula for the average number of representations of integers n=p1k+p23+p33+p43+p53 in short intervals, where p1, p2, p3, p4, p5 are prime numbers.
Gen Li, Xianjiu Huang, Xiaoming Pan, Li Yang, Xiaogang Liu   +4 more
wiley   +1 more source

Facing the heat: Political instability and firm new product innovation in sub‐Saharan Africa

Journal of Product Innovation Management, Volume 39, Issue 5, Page 604-642, September 2022., 2022
Abstract We examine how political instability (PI) affects firms' product innovation and the strategies that firms can employ in response to PI. We argue that while higher levels of PI influence firms' innovation negatively, greater international exposure (through foreign ownership and exporting) can help firms partly overcome this external challenge ...
Sorin M. S. Krammer, Mario I. Kafouros
wiley   +1 more source

One Kind New Hybrid Power Mean and Its Computational Formulae

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two‐term exponential sums and give an exact computational formula for it.
Li Wang, Xuexia Wang, Shaofang Hong
wiley   +1 more source

Pace of life and perceived stress in international students

PsyCh Journal, Volume 10, Issue 3, Page 425-436, June 2021., 2021
Abstract An accelerated pace of life greatly impacts individuals' health and lifestyles. However, this imposition has not been systematically researched within a culturally diverse sample. Thus, this study aimed to explore the subjective experience of the pace of life and its correlates in a culturally diverse sample within a German university context.
Sonia Lippke, Torven M. Schalk, Ulrich Kühnen, Borui Shang   +3 more
wiley   +1 more source

Exceptional Sets for Sums of Prime Cubes in Short Interval

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
Let E(N, X) denote the number of even integers n, with N − X ≤ n ≤ N, such that n cannot be written as n=p13+⋯+p83. We prove that if X > N1/36+ɛ, then E(N, X) = o(X).
Gongrui Chen, Jie Wu
wiley   +1 more source

On the Hybrid Power Mean of Two‐Term Exponential Sums and Cubic Gauss Sums

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, an interesting third‐order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two‐term exponential sums and the cubic Gauss sums.
Shaofan Cao, Tingting Wang, Stanislaw Migorski   +2 more
wiley   +1 more source

On the Waring-Goldbach Problem for One Square and Five Cubes in Short Intervals [PDF]

Czechoslovak Mathematical Journal, 2020
Let N be a sufficiently large integer. We prove that almost all sufficiently large even integers n ∈ [ N − 6 U, N + 6 U ] can be represented as $$\left\{ {\matrix{ {n = p_1^2 + p_2^3 + p_3^3 + p_4^3 + p_5^3 + p_6^3} \hfill \cr {\left| {p_1^2 - {N \over 6}
Fei Xue, Min Zhang, Jinjia Li
semanticscholar   +2 more sources