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We prove some symmetric $q$-congruences.

Number Theory · Mathematics 2016-01-18 He-Xia Ni , Hao Pan

We derive weighted sums, including binomial and double binomial sums, for the generalized Fibonacci sequence $\{G_m\}$ where for $m\ge 2$, $G_m=G_{m-1}+G_{m-2}$ with initial values $G_0$ and $G_1$.

Classical Analysis and ODEs · Mathematics 2018-05-07 Kunle Adegoke

A symplectic realization and some symmetries of a Rikitake type system are presented.

Dynamical Systems · Mathematics 2014-04-29 Cristian Lazureanu , Tudor Binzar

Special cases of Weber-Schafheitlin type integrals are evaluated analytically.

Mathematical Physics · Physics 2015-12-29 R. Mehrem

A class of generalized Schr\"{o}dinger problems in bounded domain is studied. A complete overview of the set of solutions is provided, depending on the values assumed by parameters involved in the problem. In order to obtain the results, we…

Analysis of PDEs · Mathematics 2018-10-25 Andrelino V. Santos , João R. Santos Júnior , Antonio Suárez

Chen and Cheung [C.-P. Chen, W.-S. Cheung, Sharpness of Wilker and Huygens type inequalities, J. Inequal. Appl. 2012 (2012) 72, \url{http://dx.doi.org/10.1186/1029-242X-2012-72}] established sharp Wilker and Huygens-type inequalities. These…

Classical Analysis and ODEs · Mathematics 2016-02-02 C. P Chen , R B Paris

This article present a new, direct and simple formula for constructing Mignotte sequences.

Cryptography and Security · Computer Science 2024-12-23 Marek Putresza

This is a survey on Kawaguchi-Silverman conjecture.

Algebraic Geometry · Mathematics 2023-11-28 Yohsuke Matsuzawa

D. G. Higman generalized a coherent configuration and defined a weight. In this article, we will modify the definition and investigate weights on coherent configurations. If our weights are on a thin homogeneous coherent configuration, that…

Combinatorics · Mathematics 2025-12-16 Akihide Hanaki

We use the relations between quadrics, trace codes and algebraic curves to construct algebraic curves over finite fields with many points and to compute generalized Hamming weights of codes.

alg-geom · Mathematics 2008-02-03 G. van der Geer , M. van der Vlugt

These Lecture notes give an introduction to Regge calculus as a discrete model of General Relativity.

General Relativity and Quantum Cosmology · Physics 2009-09-29 Alexis Larranaga

We discuss some questions about Gromov-Witten classes of target stacks.

Algebraic Geometry · Mathematics 2023-01-10 Hsian-Hua Tseng

In this note we study some sequences whose ratio converges to the square root of rationals. Further we analyze some related sequences obtained when the above mentioned ratio simplifies.

Number Theory · Mathematics 2007-05-23 Mario Catalani

Using the notion of generalized weight we improve estimates on the parameters of quantum codes obtained by Steane's construction from binary codes. This yields several new families of quantum codes.

Quantum Physics · Physics 2007-05-23 Gérard Cohen , Sylvia Encheva , Simon Litsyn

Several exact expansions as well as lower and upperbounds of the Kermack and McKendrick SIR equations are presented.

Physics and Society · Physics 2020-10-08 Piet Van Mieghem

Concentration of measure is studied, and obtained, for stable and related random vectors.

Probability · Mathematics 2007-05-23 Christian Houdre , Philippe Marchal

This paper continues the work which attempts to understand the general properties of the graded algebras associated with Hecke symmetries without a restriction on the parameter q of the Hecke relation imposed in earlier results.

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We explore the concentration properties of the ratio between the geometric mean and the arithmetic mean, showing that for certain sequences of weights one does obtain concentration, around a value that depends on the sequence.

Metric Geometry · Mathematics 2010-10-20 J. M. Aldaz