What is recorded here?
Proved that every arithmetic progression with coprime first term and difference contains infinitely many primes, using character and series methods now associated with Dirichlet L-functions.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Dirichlet's sole-author 1837 memoir and its infinitude theorem. It does not claim the later prime-number theorem for progressions, asymptotic density estimates or every subsequent development in analytic number theory.
Read the original work
- German Digital Library record for Dirichlet 1837 memoir
- Encyclopedia of Mathematics account of Dirichlet L-functions
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
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People and systems
P. G. L. Dirichlet
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: Germany
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English catalogue narrative
Dirichlet: primes in arithmetic progressions
Proved that every arithmetic progression with coprime first term and difference contains infinitely many primes, using character and series methods now associated with Dirichlet L-functions.
Scientific scope
The record is Dirichlet's sole-author 1837 memoir and its infinitude theorem. It does not claim the later prime-number theorem for progressions, asymptotic density estimates or every subsequent development in analytic number theory.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
P. G. L. Dirichlet
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.