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Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other related stronger congruences.

Number Theory · Mathematics 2014-10-01 Christian Ballot

In this paper, we give more general definitions of weighted means and MN-convex functions. Using these definitions, we also obtain some generalized results related to properties of MN-convex functions. The importance of this study is that…

General Mathematics · Mathematics 2021-10-05 İmdat İşcan

We characterize directs sums of twists of symmetric powers of the universal quotient bundle over the Grassmannian of lines. We use a method that could be used for analogue results on any arbitrary variety, and that should give stronger…

Algebraic Geometry · Mathematics 2024-10-01 Enrique Arrondo , Alicia Tocino

Extencion of Krein's special method for solving of integral equation to that method for solving of systems of integral equations is established. Generalizations of formulae for solution of integral equations are obtained. The result…

Classical Analysis and ODEs · Mathematics 2025-10-07 G. A. Grigorian

The paper deals with a generalisation of uniform distribution. The analogues of Weyl's criterion are derived.

Functional Analysis · Mathematics 2015-11-25 Ligia L. Cristea , Milan Pasteka

The aim of this paper is twofold. The first is to give a quantitative version of Schmidt's subspace theorem for arbitrary families of higher degree polynomials. The second is to give a generalization of the subspace theorem for arbitrary…

Number Theory · Mathematics 2023-08-01 Si Duc Quang

A review of the superstatistics concept is provided, including various recent applications to complex systems.

Statistical Mechanics · Physics 2007-05-28 Christian Beck

A brief introduction is given to the topic of Smith normal forms of incidence matrices. A general discussion of techniques is illustrated by some classical examples. Some recent advances are described and the limits of our current…

Combinatorics · Mathematics 2015-06-18 Peter Sin

In this note we provide a simple formula of general term of recurrent sequence.

Rings and Algebras · Mathematics 2007-05-23 S. Amghibech

Long ago, in math.AG/0112004, we pledged more details on the algebraic version of Chen-Ruan's math.AG/0103156. This is it.

Algebraic Geometry · Mathematics 2008-04-13 Dan Abramovich , Tom Graber , Angelo Vistoli

In this work we extend Goldberg result \cite{Goldberg} for generalized string links over closed, connected and orientable surfaces of genus $g \geq 1$, i.e., different from the sphere (up to link-homotopy).

Geometric Topology · Mathematics 2025-02-03 Juliana Roberta Theodoro de Lima

This is a survey of the spectral theory of tensors.

Spectral Theory · Mathematics 2012-01-18 Liqun Qi

Almost uniform version of noncommutative Wiener-Wintner ergodic theorem and its extension to Besicovitch weights are proved.

Functional Analysis · Mathematics 2020-12-03 Vladimir Chilin , Semyon Litvinov

We provide numerical procedures for possibly best evaluating the sum of positive series. Our procedures are based on the application of a generalized version of Kummer's test.

Classical Analysis and ODEs · Mathematics 2022-04-26 Vyacheslav M. Abramov

An observation on Hall-Littlewood polynomials.

Combinatorics · Mathematics 2013-09-13 R. Virk

This is a survey on Sarnak's Conjecture

Dynamical Systems · Mathematics 2020-09-11 Joanna Kułaga-Przymus , Mariusz Lemańczyk

We first show how the cohomology of some Bernstein-Gelfand-Gelfand (BGG) sequences that are important for the numerical analysis of partial differential equations, can be obtained through the construction of a long exact sequence connecting…

Numerical Analysis · Mathematics 2026-05-18 Snorre H. Christiansen

Cyclotomic polylogarithms are reviewed and new results concerning the special constants that occur are presented. This also allows some comments on previous literature results using PSLQ.

High Energy Physics - Theory · Physics 2017-12-25 Jakob Ablinger , Johannes Blumlein , Mark Round , Carsten Schneider

The main results of this paper are generalizations some classical theorems about transversals for families of finite sets to some cases of families of infinite sets.

Combinatorics · Mathematics 2020-08-10 G. R. Chelnokov , V. L. Dol'nikov

We review some results of calculations, having the property of maximal transcendentality.

High Energy Physics - Phenomenology · Physics 2017-04-26 A. V. Kotikov
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