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arXiv · 2006.02997

Non-Vanishing of Derivatives of L-Functions of Hilbert Modular Forms in The Critical Strip

Alia Hamieh·Wissam Raji
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Abstract

In this paper, we show that, on average, the derivatives of $L$-functions of cuspidal Hilbert modular forms with sufficiently large weight $k$ do not vanish on the line segments $\Im(s)=t_{0}$, $\Re(s)\in(\frac{k-1}{2},\frac{k}{2}-\epsilon)\cup(\frac{k}{2}+\epsilon,\frac{k+1}{2})$. This is analogous to the case of classical modular forms.

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Alia Hamieh, Wissam Raji. 2020-06-04. Non-Vanishing of Derivatives of L-Functions of Hilbert Modular Forms in The Critical Strip. https://arxiv.org/abs/2006.02997

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