Generalized Rademacher functions and some congruence properties

被引：0
|
作者：
Nakamura, H [1 ]
机构：
[1] Okayama Univ, Fac Sci, Dept Math, Okayama 7008530, Japan
来源：
GALOIS THEORY AND MODULAR FORMS | 2004年 / 11卷
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：
In 1, we introduce the classical Dedekind sum and the Rademacher function. Then, in 2, certain generalized Rademacher functions are introduced as the Eichler-Shimura type period integrals of Eisenstein series. In 3, we present a version of continued fraction algorithm which computes efficiently the generalized Rademacher functions. In 4, we show a congruence formula connecting values of the generalized Rademacher functions of weight 2 and weight k > 2. This formula will be applied in a forthcoming paper [N4].
引用
收藏
页码：375 / 393
页数：19
相关论文
共 50 条
  • [21] Some Properties of Correlation Function on Generalized Boolean Functions
    Zhuo Zepeng
    Chong Jinfeng
    Wei Shimin
    CHINESE JOURNAL OF ELECTRONICS, 2015, 24 (01) : 166 - 169
  • [22] On some geometric properties of the generalized CES production functions
    Vilcu, Alina Daniela
    Vilcu, Gabriel Eduard
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (01) : 124 - 129
  • [23] Some properties of the generalized Jacobian elliptic functions III
    Neuman, Edward
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 27 (10) : 824 - 834
  • [24] Some matrix properties preserved by generalized matrix functions
    Benzi, Michele
    Huang, Ru
    SPECIAL MATRICES, 2019, 7 (01): : 27 - 37
  • [25] Some Properties and Generating Functions of Generalized Harmonic Numbers
    Dattoli, Giuseppe
    Licciardi, Silvia
    Sabia, Elio
    Srivastava, Hari M.
    MATHEMATICS, 2019, 7 (07)
  • [26] SOME PROPERTIES OF GENERALIZED CONVOLUTION OF HARMONIC UNIVALENT FUNCTIONS
    Porwal, Saurabh
    Dixit, K. K.
    DEMONSTRATIO MATHEMATICA, 2013, 46 (01) : 63 - 74
  • [27] SOME PROPERTIES OF THE GENERALIZED COMPLETE AND INCOMPLETE BETA FUNCTIONS
    Parmar, Rakesh K.
    Purohit, Sunil Dutt
    Joshi, Mukesh M.
    JOURNAL OF SCIENCE AND ARTS, 2015, (02): : 151 - 156
  • [28] Some properties of sequences of generalized fuzzy integrable functions
    Fang, Jin-Wan
    FUZZY SETS AND SYSTEMS, 2007, 158 (16) : 1832 - 1842
  • [29] ASYMPTOTIC PROPERTIES OF SOME CLASSES OF GENERALIZED-FUNCTIONS
    DROZHZHINOV, YN
    ZAVYALOV, BI
    MATHEMATICS OF THE USSR-IZVESTIYA, 1985, 49 (01): : 77 - 131
  • [30] Some properties of the generalized Jacobian elliptic functions II
    Neuman, Edward
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 27 (02) : 101 - 110
12345