Fourier coefficients of half-integral weight cusp forms and Waring’s problem

被引:0
|
作者
Fabian Waibel
机构
[1] Georg-August-Universitat Gottingen,
来源
The Ramanujan Journal | 2018年 / 47卷
关键词
Half-integral weight cusp forms; Maaß forms; Ternary quadratic forms; Waring’s problem; Primary 11F03; 11F30; 11P05;
D O I
暂无
中图分类号
学科分类号
摘要
Extending the approach of Iwaniec and Duke, we present strong uniform bounds for Fourier coefficients of half-integral weight cusp forms of level N. As an application, we consider a Waring-type problem with sums of mixed powers.
引用
收藏
页码:185 / 200
页数:15
相关论文
共 50 条
  • [1] Fourier coefficients of half-integral weight cusp forms and Waring's problem
    Waibel, Fabian
    [J]. RAMANUJAN JOURNAL, 2018, 47 (01): : 185 - 200
  • [2] Fourier coefficients of cusp forms of half-integral weight
    W. Kohnen
    Y.-K. Lau
    J. Wu
    [J]. Mathematische Zeitschrift, 2013, 273 : 29 - 41
  • [3] Fourier coefficients of cusp forms of half-integral weight
    Kohnen, W.
    Lau, Y. -K.
    Wu, J.
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2013, 273 (1-2) : 29 - 41
  • [4] ON A PROPERTY OF FOURIER COEFFICIENTS OF CUSP FORMS OF HALF-INTEGRAL WEIGHT
    MIYAKE, T
    MAEDA, Y
    [J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1994, 34 (02): : 463 - 473
  • [5] THE SIGN OF FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT CUSP FORMS
    Hulse, Thomas A.
    Kiral, E. Mehmet
    Kuan, Chan Ieong
    Lim, Li-Mei
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (03) : 749 - 762
  • [6] Sign changes of Fourier coefficients of half-integral weight cusp forms
    Meher, Jaban
    Murty, M. Ram
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (04) : 905 - 914
  • [7] SUMS OVER PRIMES OF THE FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT CUSP FORMS
    DUKE, W
    IWANIEC, H
    [J]. ASTERISQUE, 1991, (198) : 121 - 125
  • [8] On calculations of the Fourier coefficients of cusp forms of half-integral weight given by the Shintani lift
    Noschese, Silvia
    Reichel, Lothar
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
  • [9] On the Fourier coefficients of modular forms of half-integral weight
    Prasanna, Kartik
    [J]. FORUM MATHEMATICUM, 2010, 22 (01) : 153 - 177
  • [10] ON THE FOURIER COEFFICIENTS OF MODULAR FORMS OF HALF-INTEGRAL WEIGHT
    Choie, Young Ju
    Kohnen, Winfried
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (08) : 1879 - 1883