ARTICLES

Filter  
Active filters 0
Remove
  

Refine your searches by:

Collections
Technology
Education
Economy
Social Sciences
Mathematics
Research
Computing
Pure sciences
Administration - Business
Architecture and Urbanism
all records (72)

Languages
English
Spanish
Portuguese
German

Countries
Indonesia
USA
Brazil
Australia
Ukraine
South Africa
Spain
Romania
Switzerland
Chile
all records (72)

Years
2023
2022
2021
2020
2019
2018
2017
2016
2015
2014
all records (24)

Filter  
 
3.982  Articles
1 of 399 pages  |  10  records  |  more records»
We introduce group actions on the integer partitions and their variances. Using generating functions and Burnside's lemma, we study arithmetic properties of the counting functions arising from group actions. In particular, we find a modulo 4 congruence in... see more

Partitions without sequences of consecutive integers as parts have been studied recently by many authors, including Andrews, Holroyd, Liggett, and Romik, among others. Their results include a description of combinatorial properties, hypergeometric represe... see more

In this paper, we study a family of generating functions whose coefficients are polynomials that enumerate partitions in lower order ideals of Young's lattice. Our main result is that this family satisfies a rational recursion and are therefore rational f... see more

For each nonempty integer partition p\pi, we define the maximal excludant of p\pi as the largest nonnegative integer smaller than the largest part of p\pi that is not itself a part. Let smaex(n)\sigma\!\operatorname{maex}(n) be the sum of maximal excludan... see more

Let spt (n) denote the total number of appearances of the smallest part in each partition of n. In 1988, Garvan gave new combinatorial interpretations of  Ramanujan’s partition congruences mod 5, 7 and 11 in terms of a crank for weighted vector parti... see more


Several authors have recently considered the smallest positive part missing from an integer partition, known as the minimum excludant or mex.  In this work, we revisit and extend connections between Dyson's crank statistic, the mex, and Frobenius sym... see more

Several authors have recently considered the smallest positive part missing from an integer partition, known as the minimum excludant or mex.  In this work, we revisit and extend connections between Dyson's crank statistic, the mex, and Frobenius sym... see more

 Resumen: La técnica de cuasi-implicación estadística es muy útil para determinar relaciones de causa y efecto (con un número pequeño de excepciones). La aplicación del análisis jerárquico de similitudes, busca constituir particiones cada vez más fin... see more

1 of 399 pages  |  10  records  |  more records»