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We extend our family rigidity and vanishing theorems in [{\bf LiuMaZ}] to the Spin^c case. In particular, we prove a K-theory version of the main results of [{\bf H}], [{\bf Liu1}, Theorem B] for a family of almost complex manifolds.

K理论与同调 · 数学 2007-05-23 Kefeng Liu , Xiaonan Ma , Weiping Zhang

We give a new proof of Theorem 6 in [L. Qiu and X. Zhan, On the span of Hadamard products of vectors, Linear Algebra Appl. 422 (2007) 304--307].

环与代数 · 数学 2008-11-15 Hajime Tanaka

Our goal in the present paper is to give a new ergodic proof of a well-known Veech's result, build upon our previous works.

动力系统 · 数学 2017-03-07 Panagiotis Georgopoulos

Twisted K-theory has its origins in the author's PhD thesis [27] : http://www.numdam.org/item?id=ASENS_1968_4_1_2_161_0 and in the paper with P. Donovan http://www.numdam.org/item?id=PMIHES_1970__38__5_0 The objective of this paper is to…

K理论与同调 · 数学 2007-08-23 Max Karoubi

We give here a new proof of a Tauberian Theorem of complex Laplace transform using the Theory of measure and theory of function with bounded variations. However we deduce the simple proof of Prime Number Theorem.

数论 · 数学 2014-03-03 Lahoucine Elaissaoui

In this short note, we given a new proof of Mitchell's theorem that $L_{T\left(n\right)} K(Z) \cong 0$ for $n \geq 2$. Instead of reducing the problem to delicate representation theory, we use recently established hyperdescent technology…

K理论与同调 · 数学 2020-08-13 Elden Elmanto , Denis Nardin , Lucy Yang

We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.

代数几何 · 数学 2007-05-23 Ivan V. Losev

In the current note, we present a new, short proof of the famous AM-GM-HM inequality using only induction and basic calculus.

综合数学 · 数学 2022-06-06 Konstantinos Gaitanas

The aim of this short note is to give counterexamples to two results by D. Y. Gao [5, Th. 16], [4, Th. 2] and to improve a related result by S.-C. Fang, D. Y. Gao, R.-L. Sheu and S.-Y. Wu [1, Th. 3].

最优化与控制 · 数学 2010-08-26 M. D. Voisei , C. Zalinescu

We give a new proof of certain cases of the sharp HLS inequality. Instead of symmetric decreasing rearrangement it uses the reflection positivity of inversions in spheres. In doing this we extend a characterization of the minimizing…

泛函分析 · 数学 2011-09-05 Rupert L. Frank , Elliott H. Lieb

The paper contains a proof of the conjecture of M. Klin and D. Maru$\breve{\rm s}$i$\breve{\rm c}$ that an automorphism group of a transitive graph contains a permutation, decomposed in cycles of the same length. The proof is based on the…

综合数学 · 数学 2007-05-23 Aleksandr Golubchik

In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.

数论 · 数学 2023-10-26 Samit Dasgupta , Mahesh Kakde , Jesse Silliman , Jiuya Wang

We derive new matrix representation for higher order Daehee numbers and polynomials, the higher order lambda-Daehee numbers and polynomials and the twisted lambda-Daehee numbers and polynomials of order k. This helps us to obtain simple and…

组合数学 · 数学 2015-03-03 B. S. El-Desouky , Abdelfattah Mustafa

Following suggestions of T. H. Koornwinder, we give a new proof of Kummer's theorem involving Zeilberger's algorithm, the WZ method and asymptotic estimates. In the first section, we recall a classical proof given by L. J. Slater. The…

经典分析与常微分方程 · 数学 2007-05-23 Bruno Gauthier

We give a new proof of the main theorem in the theory of C(6) small cancellation complexes. We prove the fundamental theorem of cubical small cancellation theory for C(9) cubical small cancellation complexes.

群论 · 数学 2017-12-01 Kasia Jankiewicz

We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of many results which are otherwise scattered in the literature.…

交换代数 · 数学 2022-01-19 Giulio Caviglia , Alessandro De Stefani , Enrico Sbarra

A very short proof of Kneser's theorem via transversal is given.

组合数学 · 数学 2021-09-16 Luis Montejano

This review article brings forth some recent results in the theory of the Riemann zeta-function $qzeta(s)$.

数论 · 数学 2007-05-23 Aleksandar Ivić

We give a combinatorial proof of the skew Kostka analogue of the K-saturation theorem. More precisely, for any positive integer k, we give an explicit injection from the set of skew semistandard Young tableaux with skew shape…

组合数学 · 数学 2018-11-13 Per Alexandersson

We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.

交换代数 · 数学 2025-01-15 Antonino Ficarra