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- W3100686618 abstract "Let f be a half-integral weight cusp form of level 4N for odd and squarefree N and let a(n) denote its nth normalized Fourier coefficient. Assuming that all the coefficients a(n) are real, we study the sign of a(n) when n runs through an arithmetic progression. As a consequence, we establish a lower bound for the number of integers $$nleqslant x$$ such that $$a(n)>n^{-alpha }$$ where x and $$alpha $$ are positive and f is not necessarily a Hecke eigenform." @default.
- W3100686618 created "2020-11-23" @default.
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- W3100686618 date "2020-11-09" @default.
- W3100686618 modified "2023-09-25" @default.
- W3100686618 title "Sign of Fourier coefficients of half-integral weight modular forms in arithmetic progressions" @default.
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- W3100686618 doi "https://doi.org/10.1007/s40993-020-00225-x" @default.
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