A short note on sign changes
Abstract
In this paper, we present a quantitative result for the number of sign changes for the sequences \a(nj)\n 1, j=2,3,4 of the Fourier coefficients of normalized Hecke eigen cusp forms for the full modular group SL2(Z). We also prove a similar kind of quantitative result for the number of sign changes of the q-exponents c(p) (p vary over primes) of certain generalized modular functions for the congruence subgroup 0(N), where N is square-free.
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