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。
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)+⋯.
音声機能が動作しない場合はこちらをご確認ください
See correct answer
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.
See correct answer
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.
音声機能が動作しない場合はこちらをご確認ください
English - English
Word Edit Setting
- Users who have edit permission for words - All Users
- Screen new word creation
- Screen word edits
- Screen word deletion
- Screen the creation of new headword that may be duplicates
- Screen changing entry name
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Sentence Edit Setting
- Users who have edit permission for sentences - All Users
- Screen sentence deletion
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Quiz Edit Setting
- Users who have edit permission for quizzes - All Users
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1