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Dirichlet series

Dirichlet series noun: any infinite series of the form ∑ₙ₌₁ ᪲(a_n)/(nˢ), where s and each a_n are complex numbers.

Noun

Dirichlet series (countable and uncountable, plural Dirichlet series)

  1. Any infinite series of the form ∑ₙ₌₁ ᪲(a_n)/(nˢ), where s and each a_n are complex numbers.
    • Traditionally, starting from Euler, multiplicativity of arithmetic sequences is customarily expressed in the form of an Euler product factorization of the generating Dirichlet series. It turns out that in the situation of modular forms, suitable Dirichlet series constructed by Fourier coefficients...2009, Anatoli Andrianov, Introduction to Siegel Modular Forms and Dirichlet Series, Springer (Birkhäuser), page 137
    • We have now given heuristically a large family of multiple Dirichlet series, one for each simply laced Dynkin diagram.2012, Daniel Bump, “Chapter 1: Introduction: Multiple Dirichlet Series”, in Daniel Bump, Solomon Friedberg, Dorian Goldfeld, editors, Multiple Dirichlet Series, L-functions and Automorphic Forms...
    Synonyms:
    general Dirichlet series, ordinary Dirichlet series

Dirichlet series meaning in Tamil

Dirichlet series in Tamil

டெரிக்லா தொடர்

Synonyms of Dirichlet series

  • general Dirichlet series
  • ordinary Dirichlet series

Forms of Dirichlet series

pluralDirichlet series
alternative formDirichlet's series

Origin of Dirichlet series

Named after German mathematician Peter Gustav Lejeune Dirichlet (1805–1859).

Questions about Dirichlet series

What does Dirichlet series mean?
Dirichlet series means any infinite series of the form ∑ₙ₌₁ ᪲(a_n)/(nˢ), where s and each a_n are complex numbers.
What is Dirichlet series in Tamil?
Dirichlet series in Tamil is டெரிக்லா தொடர். See Dirichlet series meaning in Tamil.
What part of speech is Dirichlet series?
Dirichlet series is a noun.
What is the plural of Dirichlet series?
The plural of Dirichlet series is Dirichlet series.

Words near Dirichlet series in the dictionary

  1. Dirichlet eta function
  2. Dirichlet problem
  3. Dirichlet problems
  4. Dirichlet process
  5. Dirichlet processes
  6. Dirichlet series
  7. Dirichlet's box principle
  8. Dirichlet's drawer principle
  9. Dirichlet's unit theorem
  10. Dirichletian
  11. dirigation

Source and license

Adapted from Wiktionary: Dirichlet series (page history and authors); dirichlet series (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “Dirichlet series.” Word.ws, https://word.ws/dirichlet_series. Based on Wiktionary, CC BY-SA 4.0.