A q-Series Bernoulli-Euler Partition Formula

被引：0
|
作者：
Shannon, A. G. [1 ,2 ]
机构：
[1] Univ New South Wales, Warrane Coll, Kensington, NSW 1465, Australia
[2] Raffles Coll, Sydney, NSW 2060, Australia
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2008年 / 14卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper utilises a modification of q-series to develop some partition formulas in the tradition of Bernoulli-Euler-Rogers-Ramanujan identities. Many of the ideas owe their development to the detailed pioneering work of Leonard Carlitz, with the added acknowledgement to the creative work currently being done by other number theorists working in this fertile area.
引用
收藏
页码：6 / 9
页数：4
相关论文
共 50 条
  • [21] Partition implications of a three-parameter q-series identity
    Dixit, Atul
    Maji, Bibekananda
    RAMANUJAN JOURNAL, 2020, 52 (02): : 323 - 358
  • [22] Partition implications of a three-parameter q-series identity
    Atul Dixit
    Bibekananda Maji
    The Ramanujan Journal, 2020, 52 : 323 - 358
  • [23] HIGH EIGENFREQUENCIES OF NONUNIFORM BERNOULLI-EULER BEAMS
    KATHNELSON, AN
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1992, 34 (10) : 805 - 808
  • [24] A q-series expansion formula and the Askey-Wilson polynomials
    Liu, Zhi-Guo
    RAMANUJAN JOURNAL, 2013, 30 (02): : 193 - 210
  • [25] SEVERAL q-SERIES IDENTITIES FROM THE EULER EXPANSIONS OF (a; q)(infinity) AND 1/(a;q)(infinity)
    Zhang, Zhizheng
    Yang, Jizhen
    ARCHIVUM MATHEMATICUM, 2009, 45 (01): : 47 - 58
  • [26] Analogies between nonlocal and local Bernoulli-Euler nanobeams
    Barretta, Raffaele
    de Sciarra, Francesco Marotti
    ARCHIVE OF APPLIED MECHANICS, 2015, 85 (01) : 89 - 99
  • [27] Partition-theoretic interpretations of some q-series identities of Ramanujan
    Saikia, Nipen
    KUWAIT JOURNAL OF SCIENCE, 2021, 48 (02)
  • [28] Strain proportional damping in Bernoulli-Euler beam theory
    Lisitano, Domenico
    Slavic, Janko
    Bonisoli, Elvio
    Boltezar, Miha
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2020, 145
  • [29] DYNAMIC-RESPONSE OF AN INFINITE BERNOULLI-EULER BEAM
    SHEEHAN, JP
    DEBNATH, L
    PURE AND APPLIED GEOPHYSICS, 1972, 97 (05) : 100 - &
  • [30] A new four parameter q-series identity and its partition implications
    Krishnaswami Alladi
    George E. Andrews
    Alexander Berkovich
    Inventiones mathematicae, 2003, 153 : 231 - 260
12345