Geodesic
Zeros of the Derivatives of $L$-functions Attached to Cusp Forms
Yoshikatsu Yashiro1
1 Graduate School of Mathematics Nagoya University Nagoya 464-8602, Japan
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 2-3, pp. 147-164

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Let $f$ be a holomorphic cusp form of weight $k$ with respect to $\mathrm {SL}_2(\mathbb {Z})$ which is a normalized Hecke eigenform, and $L_f(s)$ the $L$-function attached to $f$. We shall give a relation between the number of zeros of $L_f(s)$ and of the derivatives of $L_f(s)$ using Berndt’s method, and an estimate of zero-density of the derivatives of $L_f(s)$ based on Littlewood’s method.
DOI : 10.4064/ba8068-10-2016
Keywords: holomorphic cusp form weight respect mathrm mathbb which normalized hecke eigenform l function attached nbsp shall relation between number zeros derivatives using berndt method estimate zero density derivatives based littlewood method

Yoshikatsu Yashiro 1

1 Graduate School of Mathematics Nagoya University Nagoya 464-8602, Japan 
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Yoshikatsu Yashiro. Zeros of the Derivatives of $L$-functions Attached to Cusp Forms. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 2-3, pp. 147-164. doi: 10.4064/ba8068-10-2016

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