共查询到20条相似文献,搜索用时 31 毫秒
1.
Shanzhen LU 《Frontiers of Mathematics in China》2013,8(6):1237-1251
The aim of this paper is to state some conjectures and problems on Bochner-Riesz means in multiple Fourier series and integrals. The progress on these conjectures and problems are also mentioned. 相似文献
2.
本文研究了Smarandache函数与伪Smarandache函数的相关性质,主要给出了伪Smarandache函数均值的一个范围,证明了Majumdar提出的四个猜想是正确的。 相似文献
3.
Arsalan Wares 《International Journal of Mathematical Education in Science & Technology》2013,44(6):814-819
This note describes two conjectures pertaining to repeated partitioning of an arbitrary triangle. The first conjecture turns out to be true, and hence gives rise to a new, more general, conjecture that is also addressed in this article. Both conjectures can be explored in a dynamic geometry environment. The proofs to the conjectures addressed in this article require knowledge of high school Euclidean geometry. 相似文献
4.
5.
《Indagationes Mathematicae》2017,28(1):84-90
In a recent paper, Byrnes et al. (2014) have developed some recurrence relations for the hypergeometric zeta functions. Moreover, the authors made two conjectures for arithmetical properties of the denominators of the reduced fraction of the hypergeometric Bernoulli numbers. In this paper, we prove these conjectures using some recurrence relations. Furthermore, we assert that the above properties hold for both Carlitz and Howard numbers. 相似文献
6.
Paulo Brumatti Yves Lequain Daniel Levcovitz Aron Simis 《Proceedings of the American Mathematical Society》2002,130(1):15-21
The conjectures of Zariski-Lipman and of Nakai are still open in general in the class of rings essentially of finite type over a field of characteristic zero. However, they have long been known to be true in dimension one. Here we give counterexamples to both conjectures in the class of one-dimensional pseudo-geometric local domains that contain a field of characteristic zero. Likewise, in connection with a recent result of Traves on the Nakai conjecture, we also show that their hypothesis of finite generation of the integral closure cannot be removed even in the class of local domains containing a field of characteristic zero.
7.
In this article, we investigate some operator-norm inequalities related to some conjectures posed by Hayajneh and Kittaneh that are related to questions of Bourin regarding a special type of inequalities referred to as subadditivity inequalities. While some inequalities are meant to answer these conjectures, other inequalities present reverse-type inequalities for these conjectures. Then, we present some new trace inequalities related to Heinz means inequality and use these inequalities to prove some variants of the aforementioned conjectures. 相似文献
8.
9.
Zhang Xiang 《数学年刊B辑(英文版)》1997,18(4):429-434
ONTWOCONJECTURESOFTHEQUADRATICDIFFERENTIALSYSTEMSZHANGXIANG*AbstractManuscriptreceivedSeptember29,1995.*InstituteofMathematic... 相似文献
10.
The summatory function of the Möbius function is denotedM(x). In this article we deduce conditional results concerningM(x) assuming the Riemann hypothesis and a conjecture of Gonekand Hejhal on the negative moments of the Riemann zeta function.Assuming these conjectures, we show that M(x), when appropriatelynormalized, possesses a limiting distribution, and also thata strong form of the weak Mertens conjecture is true. Finally,we speculate on the lower order of M(x) by studying the constructeddistribution function. 2000 Mathematics Subject Classification11M26, 11N56. 相似文献
11.
Saber Elaydi 《Journal of Difference Equations and Applications》2013,19(4-5):379-392
In this paper we give an overview of some recent developments in the asymptotics of difference equations. Applications to combinatorics and orthogonal polynomials are briefly indicated. Some conjectures and open problems are presented 相似文献
12.
In a recent work, Andrews gave analytic proofs of two conjectures concerning some variations of two combinatorial identities between partitions of a positive integer into odd parts and partitions into distinct parts discovered by Beck. Subsequently, using the same method as Andrews, Chern presented the analytic proof of another Beck’s conjecture relating the gap-free partitions and distinct partitions with odd length. However, the combinatorial interpretations of these conjectures are still unclear and required. In this paper, motivated by Glaisher’s bijection, we give the combinatorial proofs of these three conjectures directly or by proving more generalized results. 相似文献
13.
A. M. Amleh 《Journal of Difference Equations and Applications》2013,19(4):621-631
Open Problems and Conjectures Edited by Gerry Ladas In this section we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas 相似文献
14.
An asymptotic formula is obtained for the number of representations of an element of a finite field as a weighted sum of two prescribed powers of primitive elements. This generalises previous work on sums of primitive elements, including that relating to some conjectures of Golomb. 相似文献
15.
ZHOU Xiangyu Institute of Mathematics AMSS Beijing Chinese Academy of Sciences. 《中国科学A辑(英文版)》2006,(11)
Two fundamental problems on the invariant holomorphic extensions have been posed, which are naturally arose from our solution of the extended future tube conjecture and closely and deeply related to the general theory of Stein manifolds due to Cartan-Serre. In this paper, the relationship is presented between the two problems, the motivation of considering the problems, and the methods to approach the problems. We have also posed some questions and conjectures related to this two problems. 相似文献
16.
A. Laurinčikas 《Lithuanian Mathematical Journal》1999,39(3):262-272
Using some conjectures on the mean-value of generalized numbers, limit theorems in the sense of the weak convergence of probability
measures for the Dirichlet series related to the Euler function are proved. Also, the limit measure is studied.
Partially supported by the Lithuanian State Science and Studies Foundation.
Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania: Šiauliai University, P. Višinskio 25, 5400 Šiauliai, Lithuania.
Translated from Lietuvos Matematikos Rinkinys, Vol. 39, No. 3, pp. 331–342, July–September, 1999.
Translated by A. Laurinčikas 相似文献
17.
In this paper, we investigate the finiteness of Ext-indices for certain ring extensions. In this direction, we introduce some conjectures and discuss the relationships among them. We also prove these conjectures in some special cases. Furthermore, we prove that the trivial extension of an Artinian local ring by its residue class field is always of finite Ext-index, and prove a generalization of the Auslander-Reiten conjecture for this type of ring. 相似文献
18.
We study the loci of principally polarized abelian varieties with points of high multiplicity on the theta divisor. Using
the heat equation and degeneration techniques, we relate these loci and their closures to each other, as well as to the singular
set of the universal theta divisor. We obtain bounds on the dimensions of these loci and relations among their dimensions,
and make further conjectures about their structure.
Research of the first author is supported in part by National Science Foundation under the grant DMS-05-55867. 相似文献
19.
Yu. V. Shestopalov Yu. G. Smirnov 《Mathematical Methods in the Applied Sciences》2003,26(16):1363-1389
In this paper, the unique solvability, Fredholm property, and the principle of limiting absorption are proved for a boundary value problem for the system of Maxwell's equations in a semi‐infinite rectangular cylinder coupled with a layer by an aperture of arbitrary shape. Conditions at infinity are taken in the form of the Sveshnikov–Werner partial radiation conditions. The method of solution employs Green's functions of the partial domains and reduction to vector pseudodifferential equations considered in appropriate vectorial Sobolev spaces. Singularities of Green's functions are separated both in the domain and on its boundary. The smoothness of solutions is established. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献
20.
We propose three new conjectures on perfect matchings in cubic graphs. The weakest conjecture is implied by a well-known conjecture of Berge and Fulkerson. The other two conjectures are a strengthening of the first one. All conjectures are trivially verified for 3-edge-colorable cubic graphs and by computer for all snarks of order at most 34. 相似文献