Archer Clayton , Helen Dai , Tianyu Ni , Hui Xue , Jake Zummo
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引用次数: 0
摘要
让 Tm(N,2k) 是权重为 2k 且级别为 N 的余弦空间 S(N,2k) 上的第 m 个赫克算子。本文证明,除了我们列出的有限几种情况外,在 2 和 N 共素时,T2(N,2k) 的特征多项式的第二个系数都不消失。
Nonvanishing of second coefficients of Hecke polynomials
Let be the mth Hecke operator on the space of cuspforms of weight 2k and level N. This paper shows that in all but finitely many cases, which we list, the second coefficient of the characteristic polynomial of does not vanish when 2 and N are coprime.
期刊介绍:
The Journal of Number Theory (JNT) features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied areas. A valuable resource for mathematicians, the journal provides an international forum for the publication of original research in this field.
The Journal of Number Theory is encouraging submissions of quality, long articles where most or all of the technical details are included. The journal now considers and welcomes also papers in Computational Number Theory.
Starting in May 2019, JNT will have a new format with 3 sections:
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JNT General Section is for shorter papers. We particularly encourage submission from junior researchers. Every attempt will be made to expedite the review process for such submissions.
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