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Speaker:

Chenran Xu

Title:

Sign changes of coefficients of half-integral weight Hecke eigenforms

Abstract:

Let $\mathfrak{f}$ be a cusp form of half-weight $k+1/2$ and at most quadratic nebentype character whose Fourier coefficients are denoted as $\mathfrak{a}_\mathfrak{f}(n)$. We study sign changes of the family $\{\mathfrak{a}_\mathfrak{f}(tp^2)\}_{p\in\mathbb{P}}$ where $t$ is a square-free number and $p$ runs through the prime numbers.

Time:

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报告人 Chenran Xu 时间
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