Last Updated :2025/12/04

Dirichlet eta function

Proper noun
Japanese Meaning
(数学・数学解析)リーマンゼータ関数のDirichlet級数展開における交互級数として定義される特殊関数。 / すなわち、η(s) = 1/1^s − 1/2^s + 1/3^s − 1/4^s + … の形で表現される。
What is this buttons?

大学院生はしばしば、収束領域を超えたη(s)の振る舞いを理解するために、リーマンゼータ関数の級数展開の交代和であるディリクレ・イータ関数の解析接続を研究する。

Quizzes for review

(mathematics, mathematical analysis) The alternating sum of the Dirichlet series expansion of the Riemann zeta function: 𝜂(s)=∑ₙ₌₁ ᪲(-1)ⁿ⁻¹/nˢ=1/(1ˢ)-1/(2ˢ)+1/(3ˢ)-1/(4ˢ)+⋯.

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Dirichlet eta function

Graduate students often study the analytic continuation of the Dirichlet eta function to understand the behavior of η(s) beyond its original region of convergence.

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Graduate students often study the analytic continuation of the Dirichlet eta function to understand the behavior of η(s) beyond its original region of convergence.

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