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引用次数: 0
摘要
在此之前，作者证明了枚举二元三次方形式类数的新谷 zeta 函数的次凸性。在此，我们再次证明马斯形式扭曲版本的次凸性。这里演示的方法可应用于佐藤 F. 提出的一些扭曲zeta函数的次凸性。这一论证表明，佐藤所使用的对称空间条件对于估计临界带中的zeta函数并非必要。
Previously the authors proved subconvexity of Shintani's zeta function enumerating class numbers of binary cubic forms. Here we return to prove subconvexity of the Maass form twisted version. The method demonstrated here has applications to the subconvexity of some of the twisted zeta functions introduced by F. Sato. The argument demonstrates that the symmetric space condition used by Sato is not necessary to estimate the zeta function in the critical strip.
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