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We prove a general inequality for more than two sequences mirroring that of the discrete two-sequence Cauchy-Schwarz.

Functional Analysis · Mathematics 2020-05-12 Nihal Uppugunduri

An overview is given of recent developments in the field of Dirac equations generalized to curved space-times. An illustrative discussion is provided. We conclude with a variation of Dirac's large-number hypothesis which relates a number of…

General Physics · Physics 2014-08-05 U. D. Jentschura

Several results about the union-closed sets conjecture are presented.

Combinatorics · Mathematics 2017-06-21 Yining Hu

The weight hierarchy of generalized Reed-Muller codes over arbitrary finite fields was determined by Heijnen and Pellikaan. In this paper we produce curves over finite fields with many points which are closely related to this weight…

alg-geom · Mathematics 2007-05-23 Gerard van der Geer , Marcel van der Vlugt

In this paper, we study generalized quantum operations and almost sharp quantum effects, our results generalize and improve some important conclusions in [2] and [3].

Mathematical Physics · Physics 2017-11-09 Shen Jun , Wu Junde

We derive an expression for the generalized Bernoulli numbers in terms of the Bernoulli numbers involving the (exponential) complete Bell polynomials.

Classical Analysis and ODEs · Mathematics 2018-01-25 Donal F. Connon

The aim of this paper is to generalize the Maass relation for generalized Cohen-Eisenstein series of degree two and of degree three. Here the generalized Cohen-Eisenstein series are certain Siegel modular forms of half-integral weight, and…

Number Theory · Mathematics 2013-05-07 Shuichi Hayashida

A complete characterization of near subnormality for bilateral weighted shifts is obtained. As an application of the main results, many new answers to the Hilbert space problem 160 are presented at the end of the paper.

Functional Analysis · Mathematics 2007-05-23 Wang Gong-bao , Ma Ji-pu

Maximal estimates for Schr\"odinger means and convergence almost everywhere of sequences of Schr\"odinger means are studied.

Functional Analysis · Mathematics 2020-11-17 Per Sjölin , Jan-Olov Strömberg

The abstract will be added in due course.

Logic · Mathematics 2019-11-01 Paola D'Aquino , Jamshid Derakhshan , Angus Macintyre

In this article we discuss a generalized Wirtinger inequality.

Analysis of PDEs · Mathematics 2010-05-04 Gisella Croce , Bernard Dacorogna

The goal of this paper is to define a certain Chow weight structure for the category of Voevodsky's motivic complexes with integral coefficients (as described by Cisinski and Deglise) over any excellent finite-dimensional separated scheme…

Algebraic Geometry · Mathematics 2013-12-31 Mikhail V. Bondarko

The main results extend to sums over primes in a short interval earlier estimates by the author for "long" Weyl sums over primes.

Number Theory · Mathematics 2011-12-02 Angel V. Kumchev

In this paper, we provide suitable characterisations of pairs of weights $(V,W),$ known as Bessel pairs, that ensure the validity of weighted Hardy-type inequalities. The abstract approach adopted here makes it possible to establish such…

Analysis of PDEs · Mathematics 2025-11-14 Lucrezia Cossetti , Lorenzo D'Arca

A new approach to the Selberg trace formula, and more precisely to its spectral side, is developed. The approach relies on a notion of "Plancherel decomposition" of "asymptotically finite functions", and may generalize to obtain a general…

Number Theory · Mathematics 2017-10-06 Yiannis Sakellaridis

In this paper we consider a transformation $L_a$ of sequences of complex numbers. We find the inverse transformation of $L_a$ as well as the inverse of a related transformation $\tilde{L}_a$. We explore a connection to the binomial…

Combinatorics · Mathematics 2015-12-29 Ilia D. Mishev

A brief review of large-N_c QCD and the 1/N_c expansion is given. Important results for large-N_c mesons and baryons are highlighted.

High Energy Physics - Phenomenology · Physics 2009-07-30 Elizabeth Jenkins

In this paper we introduce an abstract approach to the notion of absolutely summing multilinear operators. We show that several previous results on different contexts (absolutely summing, almost summing, Cohen summing) are particular cases…

Functional Analysis · Mathematics 2013-05-28 Diana Marcela Serrano-Rodríguez

This paper focuses on the specification of the weights for the components of mixture priors.

Applications · Statistics 2023-07-04 Beat Neuenschwander , Simon Wandel , Satrajit Roychoudhury , Heinz Schmidli

In this paper, we will provide a mathematically rigorous computer aided estimation for the exact values and robustness for Gelfond exponent of weighted Thue-Morse sequences. This result improves previous discussions on Gelfond exponent by…

Dynamical Systems · Mathematics 2018-06-26 Yiwei Zhang , Ke Yin , Wanquan Wu