Monotone Chains in Modulus of Two Classes of Dirichlet Coefficients 期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Monotone Chains in Modulus of Two Classes of Dirichlet Coefficients

作者姓名：	Guang Shi Lü Qiang MA

作者单位：	School of Mathematics, Shandong University

基金项目：	Supported by the National Key Research and Development Program of China (Grant No. 2021YFA1000700)；;NSFC (Grant No. 12031008)；

摘要：	Let f₁,...,f_k and g₁,...,q_k be non-CM newforms of square-free levels.Denote byλ_{sym^j f_i}(n) the coefficients of the Dirichlet expansion of L(sym^j f_i,s) and ν₁,...,ν_k the distinct positive integers such that λ_{sym^j f_i}(ν_i)≠0.In this paper,we obtain that there exist infinitely many positive integers m such that 0 <λ_{sym^j ...}