Identities and congruences for Ramanujan’s ω(q)

被引：0
|
作者：
Jan H. Bruinier
Ken Ono
机构：
[1] Technische Universität Darmstadt,Fachbereich Mathematik
[2] University of Wisconsin,Department of Mathematics
来源：
The Ramanujan Journal | 2010年 / 23卷
关键词：
Mock theta functions; Harmonic Maass forms; 11F37; 33D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Recently, the authors constructed generalized Borcherds products where modular forms are given as infinite products arising from weight 1/2 harmonic Maass forms. Here we illustrate the utility of these results in the special case of Ramanujan’s mock theta function ω(q). We obtain identities and congruences modulo 512 involving the coefficients of ω(q).
引用
收藏
页码：151 / 157
页数：6
相关论文
共 50 条
  • [21] Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
    Baruah, Nayandeep Deka
    Ojah, Kanan Kumari
    RAMANUJAN JOURNAL, 2012, 28 (03): : 385 - 407
  • [22] Congruences related to the Ramanujan/Watson mock theta functions ω (q) and v(q)
    Andrews, George E.
    Passary, Donny
    Sellers, James A.
    Yee, Ae Ja
    RAMANUJAN JOURNAL, 2017, 43 (02): : 347 - 357
  • [23] On Plouffe's Ramanujan identities
    Vepstas, Linas
    RAMANUJAN JOURNAL, 2012, 27 (03): : 387 - 408
  • [24] Analogues of Ramanujan’s partition identities and congruences arising from his theta functions and modular equations
    Nayandeep Deka Baruah
    Kanan Kumari Ojah
    The Ramanujan Journal, 2012, 28 : 385 - 407
  • [25] On Plouffe’s Ramanujan identities
    Linas Vepštas
    The Ramanujan Journal, 2012, 27 : 387 - 408
  • [26] CONGRUENCES FOR NUMBERS OF RAMANUJAN
    HOWARD, FT
    HAYASHI, EK
    FIBONACCI QUARTERLY, 1989, 27 (01): : 61 - 69
  • [27] On the identities of Ramanujan-a q-series approach
    Srivastava, Bhaskar
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2023, 27 (01): : 93 - 99
  • [28] RAMANUJAN PARTITION CONGRUENCES
    HIRSCHHORN, MD
    DISCRETE MATHEMATICS, 1994, 131 (1-3) : 351 - 355
  • [29] Analogues of Ramanujan’s partition identities
    Ernest X. W. Xia
    Olivia X. M. Yao
    The Ramanujan Journal, 2013, 31 : 373 - 396
  • [30] Analogues of Ramanujan's partition identities
    Xia, Ernest X. W.
    Yao, Olivia X. M.
    RAMANUJAN JOURNAL, 2013, 31 (03): : 373 - 396
12345