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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/130/0002

    • Keywords

       

      Cusp form; Fourier coefficients; sign change; asymptotic behaviour; Rankin–Selberg $L$-function

    • Abstract

       

      In this article,we investigate the sign changes of the sequence of coefficientsat sum of two squareswhere the coefficients are the Fourier coefficients of the normalized Hecke eigen cusp form for the full modular group.We provide the quantitative result for the number of sign changes of the sequence in a small interval.

    • Author Affiliations

       

      SOUMYARUP BANERJEE1 MANISH KUMAR PANDEY2

      1. The University of Hong Kong, Pokfulam, Hong Kong
      2. Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, India

    • Dates

       
      Published
      10 January 2020
      Manuscript received
      19 September 2018
      Manuscript revised
      19 July 2019
      Accepted
      27 July 2019
      Early published
      Unedited version published online
      Final version published online
      3 January 2020

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