An Elementary Proof of Dirichlet's Theorem About Primes in an Arithmetic Progression

Atle Selberg

doi:10.2307/1969454

An Elementary Proof of Dirichlet's Theorem About Primes in an Arithmetic Progression

Annals of Mathematics ◽

10.2307/1969454 ◽

1949 ◽

Vol 50 (2) ◽

pp. 297 ◽

Cited By ~ 38

Author(s):

Atle Selberg

Keyword(s):

Arithmetic Progression ◽

Elementary Proof ◽

Dirichlet’S Theorem ◽

Dirichlet's Theorem

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A Special Case of Dirichlet's Theorem on Primes in an Arithmetic Progression

Mathematics Magazine ◽

10.2307/2691037 ◽

2001 ◽

Vol 74 (5) ◽

pp. 397 ◽

Cited By ~ 2

Author(s):

Hillel Gauchman

Keyword(s):

Arithmetic Progression ◽

Dirichlet’S Theorem ◽

Dirichlet's Theorem ◽

Special Case

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Theory of arithmetic linear transformations and its application to an elementary proof of Dirichlet's theorem.

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/00750424 ◽

1955 ◽

Vol 7 (Supplement) ◽

pp. 424-434 ◽

Cited By ~ 4

Author(s):

Koichi YAMAMOTO

Keyword(s):

Elementary Proof ◽

Linear Transformations ◽

Dirichlet’S Theorem ◽

Dirichlet's Theorem

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The concept of “character” in Dirichlet’s theorem on primes in an arithmetic progression

Archive for History of Exact Sciences ◽

10.1007/s00407-013-0126-0 ◽

2013 ◽

Vol 68 (3) ◽

pp. 265-326 ◽

Cited By ~ 5

Author(s):

Jeremy Avigad ◽

Rebecca Morris

Keyword(s):

Arithmetic Progression ◽

Dirichlet’S Theorem ◽

Dirichlet's Theorem

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Dirichlet’s theorem on primes in an arithmetic progression

Mathematical Surveys and Monographs - An Introduction to the Analytic Theory of Numbers ◽

10.1090/surv/010/01 ◽

2006 ◽

pp. 1-36

Author(s):

Raymond Ayoub

Keyword(s):

Arithmetic Progression ◽

Dirichlet’S Theorem ◽

Dirichlet's Theorem

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Dirichlet’s Theorem on Primes in Arithmetical Progressions

Introduction to Analytic Number Theory - Undergraduate Texts in Mathematics ◽

10.1007/978-1-4757-5579-4_8 ◽

1976 ◽

pp. 146-156 ◽

Cited By ~ 1

Author(s):

Tom M. Apostol

Keyword(s):

Dirichlet’S Theorem ◽

Dirichlet's Theorem

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Golomb's arithmetical semigroup topology and a semiprime sufficiency condition for Dirichlet's theorem

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-2016-46-3-939 ◽

2016 ◽

Vol 46 (3) ◽

pp. 939-949

Author(s):

Chris Orum

Keyword(s):

Dirichlet’S Theorem ◽

Sufficiency Condition ◽

Arithmetical Semigroup ◽

Dirichlet's Theorem

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Some results on diophantine approximation related to Dirichlet's Theorem

Number Theory - Lecture Notes in Mathematics ◽

10.1007/bfb0086550 ◽

1989 ◽

pp. 137-149

Author(s):

Hans G. Kopetzky

Keyword(s):

Diophantine Approximation ◽

Dirichlet’S Theorem ◽

Dirichlet's Theorem

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Dirichlet’s theorem on primes in an arithmetical progression

Introduction to Analytic Number Theory ◽

10.1007/978-3-642-46124-8_10 ◽

1968 ◽

pp. 105-121

Author(s):

K. Chandrasekharan

Keyword(s):

Arithmetical Progression ◽

Dirichlet’S Theorem ◽

Dirichlet's Theorem

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V.8 Dirichlet’s Theorem

The Princeton Companion to Mathematics ◽

10.1515/9781400830398.689a ◽

2010 ◽

pp. 689-689

Keyword(s):

Dirichlet’S Theorem ◽

Dirichlet's Theorem

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Special Step B: Dirichlet’s Theorem for m = ℓ (Odd Prime)

Steps into Analytic Number Theory - Problem Books in Mathematics ◽

10.1007/978-3-030-65077-3_14 ◽

2021 ◽

pp. 53-57

Author(s):

Paul Pollack ◽

Akash Singha Roy

Keyword(s):

Dirichlet’S Theorem ◽

Dirichlet's Theorem ◽

Special Step

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