Asymptotic formulas for M2-ranks of partitions without repeated odd parts

被引：2
|
作者：
Mao, Renrong [1 ]
机构：
[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
JOURNAL OF NUMBER THEORY | 2016年 / 166卷
基金：
中国国家自然科学基金;
关键词：
Asymptotics; M-2-rank; Partitions without repeated odd parts; Circle Method; DYSONS CRANK; SYMMETRIES;
D O I：
10.1016/j.jnt.2016.02.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, K. Bringmann, Dousse and Mertens established asymptotic formulas for ranks and cranks of partitions which were first conjectured by Dyson. Motivated by their works, we prove asymptotic formulas for M-2-ranks of partitions without repeated odd parts. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：324 / 343
页数：20
相关论文
共 25 条
  • [1] Asymptotic formulas related to the M2-rank of partitions without repeated odd parts
    Jennings-Shaffer, Chris
    Reihill, Dillon
    RAMANUJAN JOURNAL, 2020, 52 (01): : 175 - 242
  • [2] Pairs of partitions without repeated odd parts
    Chan, Song Heng
    Mao, Renrong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (01) : 408 - 415
  • [3] Inequalities for the M2-rank modulo 12 of partitions without repeated odd parts
    Fan, Yan
    Liu, Eric H.
    Xia, Ernest X. W.
    RAMANUJAN JOURNAL, 2023, : 105 - 130
  • [4] The M2-rank of partitions without repeated odd parts modulo 6 and 10
    Mao, Renrong
    RAMANUJAN JOURNAL, 2015, 37 (02): : 391 - 419
  • [5] Inequalities for the M2-rank modulo 12 of partitions without repeated odd parts
    Fan, Yan
    Liu, Eric H.
    Xia, Ernest X. W.
    RAMANUJAN JOURNAL, 2024, 63 (01): : 105 - 130
  • [6] Identities and inequalities for the M2-rank of partitions without repeated odd parts modulo 8
    Xia, Ernest X. W.
    Zhao, Xiang
    RAMANUJAN JOURNAL, 2022, 58 (04): : 1259 - 1284
  • [7] Rank and crank moments for partitions without repeated odd parts
    Jennings-Shaffer, Chris
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, 11 (03) : 683 - 703
  • [8] THE GENERATING FUNCTION OF THE M2-RANK OF PARTITIONS WITHOUT REPEATED ODD PARTS AS A MOCK MODULAR FORM
    Jennings-Shaffer, Chris
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 371 (01) : 249 - 277
  • [9] Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
    Garvan, Frank G.
    Sarma, Rishabh
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2024, 20
  • [10] Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
    Garvan, Frank G.
    Sarma, Rishabh
    arXiv,
123