On a phenomenon of Turan concerning the summands of partitions

被引：0

作者：

Dartyge, C. ^{[1
]}

Szalay, M. ^{[2
]}

机构：

[1] Univ Lorraine, Inst Elie Cartan, BP 239, F-54506 Vandoeuvre Les Nancy, France

[2] Eotvos Lorand Univ, Dept Algebra & Number Theory, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2016年 / 149卷 / 02期

基金：

奥地利科学基金会;

关键词：

pair of partitions; common part in residue classes; ARITHMETIC PROPERTIES; UNEQUAL PARTITIONS; LOCAL-DISTRIBUTION; PARTS;

D O I：

10.1007/s10474-016-0623-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Turan [12] proved that for almost all pairs of partitions of an integer, the proportion of common parts is very high, that is greater than with arbitrarily small. In this paper we prove that this surprising phenomenon persists when we look only at the summands in a fixed arithmetic progression.

引用

页码：375 / 395

页数：21

共 4 条

[1] On a phenomenon of Turán concerning the summands of partitions
C. Dartyge
M. Szalay
Acta Mathematica Hungarica, 2016, 149 : 375 - 395
[2] On the distribution of the summands of unequal partitions in residue classes
Cécile Dartyge
András Sárközy
Mihály Szalay
Acta Mathematica Hungarica, 2006, 110 : 323 - 335
[3] On the distribution of the summands of unequal partitions in residue classes
Dartyge, C
Sárközy, A
Szalay, M
ACTA MATHEMATICA HUNGARICA, 2006, 110 (04) : 323 - 335
[4] The number of tagged parts over the partitions with designated summands
Lin, Bernard L. S.
JOURNAL OF NUMBER THEORY, 2018, 184 : 216 - 234

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