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  • Gap distribution among sequences arising in the theory of modular forms 
    PUJAHARI, SUDHIR (IISER PuneDept. of Mathematics, 2016-11)
    In the thesis, we have studied effective distribution of gaps between elements of one or more than one sequences. We also have studied a multiplicity one kind theorem for cusp forms.
  • Fluctuations in the distribution of Hecke eigenvalues 
    PRABHU, NEHA (Dept. of Mathematics, 2017-04)
    A famous conjecture of Sato and Tate (now a celebrated theorem of Taylor et al) predicts that the normalised p-th Fourier coeffcients of a non-CM Hecke eigenform follow the Sato-Tate distribution as we vary the primes ...
  • Discrepancy results for modular forms 
    DAS, JISHU (2023-11)
    Let F be a totally real number field, r = [F : Q], and N be an integral ideal. Let Ak(N, ω) be the space of holomorphic Hilbert cusp forms with respect to K1(N), weight k = (k1, ..., kr) with kj > 2, kj even for all j ...
  • The second moment of a certain pair correlation function for Sato-Tate sequences 
    MAHAJAN, JEWEL (2023-11)
    In [BS19], Balasubramanyam and Sinha derived the first moment of the pair correlation function for Hecke angles lying in small subintervals of [0, 1], as one averages over large families of Hecke newforms of weight k with ...

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