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math.NT2013
Remarks on q-exponents of generalized modular functions
Narasimha Kumar
In this note, we prove multiplicity one theorems for generalized modular functions (GMF), in terms of their q-exponents, and make a general statement about the nature of values tha…
math.NT2013★ 4 cited
A Note on the Fourier coefficients of half-integral weight modular forms
Narasimha Kumar, Soma Purkait
In this note, we show that the algebraicity of the Fourier coefficients of half-integral weight modular forms can be determined by checking the algebraicity of the first few of the…
math.NT2013
A Note on Fourier-Jacobi coefficients of Siegel modular forms
Sanoli Gun, Narasimha Kumar
Let F be a Siegel cusp form of weight k and genus n>1 with Fourier-Jacobi coefficients f_m. In this article, we estimate the growth of the Petersson norms of f_m, where m runs over…