SOME PARTITIONS WHERE EVEN PARTS APPEAR TWICE

被引：0

作者：

Patkowski, Alexander E.

机构：

来源：

ARS COMBINATORIA | 2009年 / 92卷

关键词：

q-series; partitions; MOCK THETA-FUNCTIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider some partitions where even parts appear twice and some where evens do not repeat. Further, we offer a new partition theoretic interpretation of two mock theta functions of order 8.

引用

页码：263 / 270

页数：8

共 8 条

[1] RAMANUJAN LOST NOTEBOOK .7. THE 6TH ORDER MOCK THETA FUNCTIONS [J].

ANDREWS, GE ;

HICKERSON, D .

ADVANCES IN MATHEMATICS, 1991, 89 (01) :60-105

[2] THE 5TH AND 7TH ORDER MOCK THETA-FUNCTIONS [J].

ANDREWS, GE .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 293 (01) :113-134

[3] PARTITIONS AND INDEFINITE QUADRATIC-FORMS [J].

ANDREWS, GE ;

DYSON, FJ ;

HICKERSON, D .

INVENTIONES MATHEMATICAE, 1988, 91 (03) :391-407

[4] Euler's "De Partitio Numerorum" [J].

Andrews, George E. .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 44 (04) :561-573

[5] Some eighth order mock theta functions [J].

Gordon, B ;

McIntosh, RJ .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 62 :321-335

[6]

Lovejoy J, 2002, MATH RES LETT, V9, P191

[7]

Slater L.J., 1951, Proc. Lond. Math. Soc., V53, P460

[8]

[No title captured]

← 1 →