GEOMETRIC POLYNOMIALS AND INTEGER PARTITIONS

被引：0

作者：

Merca, Mircea ^{[1
,2
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

[2] Acad Romanian Scientists, Ilfov 3,Sect 5, Bucharest, Romania

来源：

CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2021年 / 16卷 / 01期

关键词：

geometric polynomials; geometric numbers; Bernoulli numbers; Genocchi numbers; partitions; NUMBERS; SERIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that the geometric polynomials can be expressed as sums over integer partitions in two different ways. New formulas involving geometric numbers, Bernoulli numbers, and Genocchi numbers are derived in this context.

引用

页码：117 / 127

页数：11

共 50 条

[31] CONSECUTIVE-INTEGER PARTITIONS
GUERIN, EE
ARS COMBINATORIA, 1995, 39 : 255 - 260
[32] Integer partitions and binary trees
Schmidt, F
ADVANCES IN APPLIED MATHEMATICS, 2002, 28 (3-4) : 592 - 601
[33] Stirling numbers and integer partitions
Merca, Mircea
QUAESTIONES MATHEMATICAE, 2016, 39 (04) : 457 - 469
[34] Strongly intersecting integer partitions
Borg, Peter
DISCRETE MATHEMATICS, 2014, 336 : 80 - 84
[35] Integer partitions detect the primes
Craig, William
van Ittersum, Jan-Willem
Ono, Ken
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2024, 121 (39)
[36] On the Distribution of Multiplicities in Integer Partitions
Dimbinaina Ralaivaosaona
Annals of Combinatorics, 2012, 16 : 871 - 889
[37] An expansion for the number of partitions of an integer
Stella Brassesco
Arnaud Meyroneinc
The Ramanujan Journal, 2020, 51 : 563 - 592
[38] The lattice of partitions of a positive integer
Baransky, V. A.
Koroleva, T. A.
DOKLADY MATHEMATICS, 2008, 77 (01) : 72 - 75
[39] Polynomials with integer coefficients and Chebyshev polynomials
Trigub R.M.
Journal of Mathematical Sciences, 2017, 222 (6) : 797 - 818
[40] Smooth partitions and Chebyshev polynomials
Mansour, Toufik
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 961 - 970

← 1 2 3 4 5 →