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We prove some extensions of Andrews inequality.

Differential Geometry · Mathematics 2020-11-02 Hao Fang , Biao Ma , Wei Wei

We prove a duality theorem for certain graded algebras and show by various examples different kinds of failure of tameness of local cohomology.

Commutative Algebra · Mathematics 2007-05-23 Marc Chardin , Steven Dale Cutkosky , Juergen Herzog , Hema Srinivasan

We confirm several conjectures of Guo, Jouhet and Zeng concerning the factors of alternative binomials sums.

Number Theory · Mathematics 2009-06-16 Hui-Qin Cao , Hao Pan

The article provides a counterexample to a conjecture by Blocki-Zwonek.

Complex Variables · Mathematics 2015-07-20 John Erik Fornæss

In this paper, we give a new and short proof of a Theorem on k-hypertournament losing scores due to Zhou et al.[7].

Combinatorics · Mathematics 2007-05-23 S. Pirzada , Zhou Guofei

We prove some uniqueness results which improve and generalize results of Jiang-Tao Li and Ping Li[Uniqueness of entire functions concerning differential polynomials. Commun. Korean Math. Soc. 30 (2015), No. 2, pp. 93-101].

Complex Variables · Mathematics 2016-08-15 Kuldeep Singh Charak , Banarsi Lal

In this short note, a general result concerning the positivity, under some conditions, of the coefficients of a power series is proved. This allows us to answer positively a question raised by Guo (2010) about the sign of the coefficients…

Complex Variables · Mathematics 2011-04-05 Omran Kouba

This is a correction to the afore-mentioned paper in Duke Math. J. vol. 75 (1994), 99-119 by S. Keel, K. Matsuki, and J. McKernan. We completely rewrite Chapter 6 according to the original manuscript of the second author, in order to fix…

Algebraic Geometry · Mathematics 2007-05-23 Kenji Matsuki

We present new counterexamples, which provide stronger limitations to sums-differences statements than were previously known. The main idea is to consider non-uniform probability measures.

Combinatorics · Mathematics 2014-10-06 Marius Lemm

The aim of this paper is to revisit some duality results in conic linear programming and to answer an open problem related to the duality gap function for Gale's example.

Optimization and Control · Mathematics 2022-09-26 C. Zalinescu

In this talk, some aspects of duality symmetries are presented.

High Energy Physics - Theory · Physics 2007-05-23 A. Giveon , M. Porrati

The main goal of these notes, compiled in 2008-2009, is to present a more-or-less self-contained discussion of some of the recent results and techniques of R. Berman and S. Boucksom in the setting of weighted pluripotential theory. We…

Complex Variables · Mathematics 2010-10-21 Norm Levenberg

In this short note we present a family of counterexamples to the King's conjecture.

Algebraic Geometry · Mathematics 2011-03-09 Mateusz Michalek

We discuss the naive duality theory of coherent, torsion free, $S_2$ sheaves on schemes. Version 2: A solution of the original Conjecture 6.2 is added as an appendix by Hailong Dao.

Algebraic Geometry · Mathematics 2018-12-11 János Kollár , Hailong Dao

In this paper, we introduce the method of adding additional factors and a parameter to multiple zeta values and prove some generalizations of the duality theorem and several relations among multiple zeta values. In particular, we are able…

Number Theory · Mathematics 2017-09-04 Chan-Liang Chung , Minking Eie

We introduce a duality triads` notion. These are dual recurrences as used in dynamical data bases theory completed by a third pertinacious relation. Several representative examples of them are given. q-Gaussian triads as well as Fibonomial…

General Mathematics · Mathematics 2007-05-23 A. K. Kwasniewski

Due to some results by John P. D Angelo and Dusty Grundmeier about CR- mappings the main results of my 2001 paper about recurrences for some sequences of binomial sums can be simplified.

Combinatorics · Mathematics 2013-02-19 Johann Cigler

Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.

Computational Complexity · Computer Science 2012-12-03 Bhaskar DasGupta , Lakshmi Kaligounder

George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third order mock theta functions $\omega(q)$ and $\nu(q)$, thereby extending their earlier results with the second author.…

Combinatorics · Mathematics 2021-01-29 Bruce C. Berndt , Atul Dixit , Rajat Gupta

We obtain simple proofs of certain inequalites for bivariate means.

Classical Analysis and ODEs · Mathematics 2011-05-04 Jozsef Sandor