A four-parameter partition identity

被引：13
|
作者：
Boulet, Cilanne E. [1 ]
机构：
[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
来源：
RAMANUJAN JOURNAL | 2006年 / 12卷 / 03期
关键词：
partitions; bijective proof; partition identity;
D O I：
10.1007/s11139-006-0145-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a new partition identity and give a combinatorial proof of our result. This generalizes a result of Andrews in which he considers the generating function for partitions with respect to size, number of odd parts, and number of odd parts of the conjugate.
引用
收藏
页码：315 / 320
页数：6
相关论文
共 50 条
  • [1] A four-parameter partition identity
    Cilanne E. Boulet
    [J]. The Ramanujan Journal, 2006, 12 : 315 - 320
  • [2] A four-parameter quadratic distribution
    Roberts, DS
    Jones, DL
    [J]. 2001 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-VI, PROCEEDINGS: VOL I: SPEECH PROCESSING 1; VOL II: SPEECH PROCESSING 2 IND TECHNOL TRACK DESIGN & IMPLEMENTATION OF SIGNAL PROCESSING SYSTEMS NEURALNETWORKS FOR SIGNAL PROCESSING; VOL III: IMAGE & MULTIDIMENSIONAL SIGNAL PROCESSING MULTIMEDIA SIGNAL PROCESSING - VOL IV: SIGNAL PROCESSING FOR COMMUNICATIONS; VOL V: SIGNAL PROCESSING EDUCATION SENSOR ARRAY & MULTICHANNEL SIGNAL PROCESSING AUDIO & ELECTROACOUSTICS; VOL VI: SIGNAL PROCESSING THEORY & METHODS STUDENT FORUM, 2001, : 3533 - 3536
  • [3] Four-parameter equation of state of solids
    Li, JH
    Liang, SH
    Guo, HB
    Liu, BX
    [J]. APPLIED PHYSICS LETTERS, 2005, 87 (19) : 1 - 3
  • [4] A four-parameter atomic decomposition of chirplets
    Bultan, A
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1999, 47 (03) : 731 - 745
  • [5] A new four-parameter lifetime distribution
    Alizadeh, Mojtaba
    Bagheri, Seyyed Fazel
    Alizadeh, Mohammad
    Nadarajah, Saralees
    [J]. JOURNAL OF APPLIED STATISTICS, 2017, 44 (05) : 767 - 797
  • [6] Numerical solution of four-parameter potentials
    Kaur, S
    Mahajan, CG
    [J]. JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2001, 69 (01): : 111 - 120
  • [7] More on the four-parameter Kappa distribution
    Dupuis, DJ
    Winchester, C
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2001, 71 (02) : 99 - 113
  • [8] A four-parameter atomic decomposition of chirplets
    Bultan, A
    [J]. 1997 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I - V: VOL I: PLENARY, EXPERT SUMMARIES, SPECIAL, AUDIO, UNDERWATER ACOUSTICS, VLSI; VOL II: SPEECH PROCESSING; VOL III: SPEECH PROCESSING, DIGITAL SIGNAL PROCESSING; VOL IV: MULTIDIMENSIONAL SIGNAL PROCESSING, NEURAL NETWORKS - VOL V: STATISTICAL SIGNAL AND ARRAY PROCESSING, APPLICATIONS, 1997, : 3625 - 3628
  • [9] On a Four-Parameter Linear Failure Criterion
    Pouyan Asem
    Heloise Fuselier
    Joseph F. Labuz
    [J]. Rock Mechanics and Rock Engineering, 2021, 54 : 3369 - 3376
  • [10] A new four-parameter lifetime distribution
    Nadarajah, Saralees
    Shahsanaei, Fatemeh
    Rezaei, Sadegh
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2014, 84 (02) : 248 - 263
12345