Non-vanishing of Hilbert Poincare series

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:466

Article

Kumari, Moni¹ 

[1] Natl Inst Sci Educ & Res, HBNI, Via Jatni, Khurja 752050, Odisha, India

关键词: Hilbert modular forms;    Poincare series;    Non-vanishing;   

DOI  :  10.1016/j.jmaa.2018.06.051

来源: Elsevier

【 摘 要 】

We prove some non-vanishing results of Hilbert Poincare series. We derive these results, by showing that the Fourier coefficients of Hilbert Poincare series satisfy some nice orthogonality relations for sufficiently large weight as well as for sufficiently large level. To prove later results, we generalize a method of E. Kowalski et al. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free