Dirichlet's theorem on primes in arithmetic progressions

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instance_of gptkb:theorem
gptkbp:applies_to gptkb:arithmetic_progressions
gptkbp:developed_by gptkb:Peter_Gustav_Lejeune_Dirichlet
gptkbp:first_published 1837
gptkbp:has_expansion higher dimensions
gptkbp:has_implications_for distribution of prime numbers
https://www.w3.org/2000/01/rdf-schema#label Dirichlet's theorem on primes in arithmetic progressions
gptkbp:is_a_foundational_result_for modern number theory
gptkbp:is_cited_in mathematical literature
gptkbp:is_connected_to L-functions
gptkbp:is_debated_in infinitely many primes in the form a + nd
gptkbp:is_related_to modular arithmetic
the distribution of primes
gptkbp:is_significant_for gptkb:crypt
gptkbp:is_standardized_by Euclid's theorem on primes
gptkbp:is_taught_in advanced mathematics courses
gptkbp:is_used_in analytic number theory
gptkbp:key analytic number theory
gptkbp:requires a and d coprime
gptkbp:was_a_result_of number theory
gptkbp:was_involved_in Dirichlet's theorem on characters
gptkbp:bfsParent gptkb:Peter_Gustav_Lejeune_Dirichlet
gptkbp:bfsLayer 7