Sign changes of Hecke eigenvalue of primitive cusp forms

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• 作者：Zhao Xu ^{zxu@sdu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11F11 ; 11F30 ; 11N25
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：172
• 期：Complete
• 页码：32-43
• 全文大小：285 K

文摘

Under a slightly better zero-free region of the corresponding modular L-function, we get a very small bound for the size of first sign change of Hecke eigenvalues for the classical modular forms. When it comes to the prime argument, we derive, for almost all primitive forms, a small bound for the first sign change on prime numbers.