Results 1 to 10 of about 496 (82)

Waring–Goldbach Problem of Even Powers in Short Intervals

Journal of Mathematics, 2021
In this paper, we study the average behaviour of the representations of n=p12+p24+p34+p4k over short intervals for k≥4, where p1,p2,p3,p4 are prime numbers. This improves the previous results.
Liqun Hu, Tanhui Zhang
doaj   +2 more sources

On the Waring-Goldbach problem for two squares and four cubes

Open Mathematics, 2023
Let NN be a sufficiently large integer. In this article, it is proved that, with at most O(N112+ε)O\left({N}^{\tfrac{1}{12}+\varepsilon }) exceptions, all even positive integers up to NN can be represented in the form p12+p22+p33+p43+p53+p63{p}_{1}^{2 ...
Zhang Min, Bai Hongxin, Li Jinjiang
doaj   +2 more sources

Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions

Discrete Analysis, 2018
Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions, Discrete Analysis 2018:10, 18pp. An important role in harmonic analysis is played by the notion of a _maximal function_ (which is actually a non-linear operator on a space of ...
Theresa C. Anderson, Brian Cook, Kevin Hughes, Angel Kumchev   +3 more
doaj   +2 more sources

The exceptional sets of a Waring-Goldbach problem with unequal powers

Xi'an Gongcheng Daxue xuebao, 2021
The representability of positive odd number n=p1+P32+p3k(k∈N and k≥4) was studied. The circle method in additive number theory and the iterative method in the circle method were used to deal with the main arcs and the exponential sum method was used to ...
Doudou ZHU
doaj   +1 more source

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