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The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, II

The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, II

The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, II by Wladimir de Azevedo Pribitkin (Princeton, NJ) 1. Introduction.We introduce and investigate a family of functions called nonanalytic "pseudo-Poincaré series".These functions are inspired by Douglas Niebur's work [5,6] on automorphic forms and integrals of negative …