Dirichlet L-Series and Primes in an Arithmetic Progression

  • Michael Rosen
Part of the Graduate Texts in Mathematics book series (GTM, volume 210)


Our principal goal in this chapter will be to prove the analogue of Dirichlet’s famous theorem about primes in arithmetic progressions. This was first proved by H. Kornblum in his PhD thesis written, just before the onset of World War I, under the direction of Edmund Landau. After completing the work on his thesis, but before writing it up, Kornblum enlisted in the army. He died in the fighting on the Eastern Front. After the war, Landau completed the sad duty of writing up and publishing his student’s results, see Kornblum [1].


Dirichlet Series Arithmetic Progression Orthogonality Relation Riemann Hypothesis Positive Degree 


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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Michael Rosen
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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