Scholarlink

<p>Let <i>d</i> denote a fundamental discriminant, and let <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\chi}_{d}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>χ</mi> <mi>d</mi> </msub> </math></EquationSource> </InlineEquation> be the associated primitive real Dirichlet character. We investigate the discrepancy bounds for the distribution of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(L\left(\sigma ,{\chi}_{d}\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>L</mi> <mfenced close=")" open="("> <mi>σ</mi> <mo>,</mo> <msub> <mi>χ</mi> <mi>d</mi> </msub> </mfenced> </mrow> </math></EquationSource> </InlineEquation> and its corresponding probability model defined by a random Euler product in the critical strip.</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

Discrepancy bounds for the distribution of \(L\left(\sigma ,{\chi}_{d}\right)\)

  • 期刊论文

  • 发表日期：

    2026年6月2日

查看全文
  • Xiao Peng,
  • Xuanxuan Xiao

摘要

Let d denote a fundamental discriminant, and let \({\chi}_{d}\) χ d be the associated primitive real Dirichlet character. We investigate the discrepancy bounds for the distribution of \(L\left(\sigma ,{\chi}_{d}\right)\) L σ , χ d and its corresponding probability model defined by a random Euler product in the critical strip.