Asymptotic formulae for partition ranks

被引：19

作者：

Dousse, Jehanne ^{[1
]}

Mertens, Michael H. ^{[2
]}

机构：

[1] Univ Paris Diderot, LIAFA, F-75025 Paris 13, France

[2] Univ Cologne, Math Inst, D-50931 Cologne, Germany

来源：

ACTA ARITHMETICA | 2015年 / 168卷 / 01期

关键词：

integer partitions; rank; circle method; Appell-Lerch sums; MOMENTS; CRANK;

D O I：

10.4064/aa168-1-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：83 / 100

页数：18

共 12 条

[1] DYSONS CRANK OF A PARTITION [J].

ANDREWS, GE ;

GARVAN, FG .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 18 (02) :167-171

[2]

Atkin A. O. L., 1954, P LOND MATH SOC, V4, P84, DOI [10.1112/plms/s3-4.1.84, DOI 10.1112/PLMS/S3-4.1.84]

[3]

BRINGMANN K, T AM MATH S IN PRESS

[4] Taylor coefficients of mock-Jacobi forms and moments of partition statistics [J].

Bringmann, Kathrin ;

Mahlburg, Karl ;

Rhoades, Robert C. .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2014, 157 (02) :231-251

[5]

Bringmann K, 2014, T AM MATH SOC, V366, P1073

[6]

Dyson F. J., 1944, EUREKA CAMBRIDGE, V8, P10

[7] NEW COMBINATORIAL INTERPRETATIONS OF RAMANUJAN PARTITION CONGRUENCES MOD-5, MOD-7 AND MOD-11 [J].

GARVAN, FG .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 305 (01) :47-77

[8]

Parry D., 2014, PREPRINT

[9] Congruence properties of partitions. [J].

Ramanujan, S .

MATHEMATISCHE ZEITSCHRIFT, 1921, 9 :147-153

[10]

Wright E. M., 1933, P LOND MATH SOC, V36, P117

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