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math.NT2025
Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
Pramath Anamby, Soumya Das
We prove the following statement about any Siegel modular form of degree and arbitrary odd level on the group . Let denote the Fourier coeffici…
math.NT2025
Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the -mass
Pramath Anamby, Soumya Das
We obtain the full spectral decomposition of the pullback of a Saito-Kurokawa (SK) newform of odd, square-free level; and show that the projections onto the elements $\mathbf g…