论文标题

两参数二次筛的最佳性

Optimality for the two-parameter quadratic sieve

论文作者

Carneiro, Emanuel, Chirre, Andrés, Helfgott, Harald Andrés, Mejia-Cordero, Julian

论文摘要

我们研究了一般测试功能的两参数二次筛。我们证明,在一些非常普遍的假设下,Barban和Veanov [BV68]和Graham [Gra78]考虑的功能对于此问题而言是最佳的,直到二阶期限。我们明确确定二阶期限。

We study the two-parameter quadratic sieve for a general test function. We prove, under some very general assumptions, that the function considered by Barban and Vehov [BV68] and Graham [Gra78] for this problem is optimal up to and including the second-order term. We determine that second-order term explicitly.

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