Scholarlink

<p>We investigate averages of long Dirichlet polynomials twisted by Kronecker symbols and we compare our result with the recipe of Conrey–Farmer–Keating–Rubinstein–Snaith. We are able to compute these averages in the case that the length of the polynomial is a power less than 2 of the basic scaling parameter on the assumption of the Lindelöf Hypothesis for <i>L</i>-functions of quadratic characters, and we show that the answer is consistent with this recipe. This corresponds, in terms of the recipe, to verifying 0- and 1-swap terms.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Averages of quadratic twists of long Dirichlet polynomials

  • 期刊论文

  • 发表日期：

    2025年9月17日

查看全文
  • Brian Conrey,
  • Brad Rodgers

摘要

We investigate averages of long Dirichlet polynomials twisted by Kronecker symbols and we compare our result with the recipe of Conrey–Farmer–Keating–Rubinstein–Snaith. We are able to compute these averages in the case that the length of the polynomial is a power less than 2 of the basic scaling parameter on the assumption of the Lindelöf Hypothesis for L-functions of quadratic characters, and we show that the answer is consistent with this recipe. This corresponds, in terms of the recipe, to verifying 0- and 1-swap terms.