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An unconditional GLn large sieve
Advances in Mathematics ( IF 1.5 ) Pub Date : 2020-12-23 , DOI: 10.1016/j.aim.2020.107529 Jesse Thorner , Asif Zaman
中文翻译:
无条件GL n大筛
更新日期:2020-12-23
Advances in Mathematics ( IF 1.5 ) Pub Date : 2020-12-23 , DOI: 10.1016/j.aim.2020.107529 Jesse Thorner , Asif Zaman
Let be the set of cuspidal automorphic representations π of over a number field with unitary central character. We prove two unconditional large sieve inequalities for the Hecke eigenvalues of , one on the integers and one on the primes. The second leads to the first unconditional zero density estimate for the family of L-functions associated to , which we make log-free. As an application of the zero density estimate, we prove a hybrid subconvexity bound for for a density one subset of .
中文翻译:
无条件GL n大筛
让 是集尖点自守表示的π的在具有单一中心字符的数字字段上。我们证明了Hecke特征值的两个无条件大筛子不等式,一个在整数上,一个在质数上。第二个导致L函数族的第一个无条件零密度估计 关联到 ,我们使它免日志。作为零密度估计的应用,我们证明了 对于一个密度的子集 。