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