supported by National Natural Science Foundation of China(Grant Nos.12271475 and U23A2064)。
Let{Xi,i∈J}be a family of locally dependent non-negative integer-valued random variables with finite expectations and variances.We consider the sum W=∑_(i∈J)X_(i)and apply Stein's method to establish general upper ...
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...
Supported by Key Laboratory of Financial Mathematics of Fujian Province University(Putian University)(JR202203);the NSF of Anhui Province(2008085MA06).
In this paper,we study reduced rings in which every element is a sum of three tripotents that commute,and determine the integral domains over which every n£n matrix is a sum of three tripotents.It is proved that for ...
Supported by the National Natural Science Foundation of China(Grant No.11971476)。
Let f be any arithmetic function and define S_(f)(x):=Σ_(n≤x)f([x/n]).If the function f is small,namely,f(n)﹤﹤n^(ε),then the error term E_(f)(x)in the asymptotic formula of S_f(x)has the form O(x^(1/2+ε)).In thi...
In this correspondence,we establish mean convergence theorems for the maximum of normed double sums of Banach space valued random elements.Most of the results pertain to random elements which are M-dependent.We expand...
supported by the NSFC(12271134,11771401);supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(NRF-2019R1I1A3A01041943)。
We consider dual Toeplitz operators on the orthogonal complements of the FockSobolev spaces of all nonnegative real orders.First,for symbols in a certain class containing all bounded functions,we study the problem of ...
Supported by the Scientific Research Foundation of Hubei Provincial Education Department of China(Q20174503);the National Science Foundation of Hubei Polytechnic University of China(12xjz14A and 17xjz03A)。
In this paper,we first give the definition of the Euclidean sums of linear codes,and prove that the Euclidean sums of linear codes are Euclidean dual-containing.Then we construct two new classes of optimal asymmetric ...
The paper is devoted to non-homogeneous second-order differential equations with polynomial right parts and polynomial coefficients.We derive estimates for the partial sums and products of the zeros of solutions to th...
After posing the axiom of linear algebra, the author develops how this allows the calculation of arbitrary base powers, which provides an instantaneous calculation of powers in a particular base such as base ten;first...