Number Theory pp 301-314 | Cite as

A Report on Artin’s Holomorphy Conjecture

  • Dipendra Prasad
  • C. S. Yogananda
Part of the Trends in Mathematics book series (TM)


The purpose of this paper is to present a report on the current status of Artin’s holomorphy conjecture. For a fascinating account of how Artin was led to defining his L-series and his ‘reciprocity law’ see [19].


Modular Form Galois Group Number Field Cusp Form Irreducible Character 
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Copyright information

© Hindustan Book Agency (India) and Indian National Science Academy 2000

Authors and Affiliations

  • Dipendra Prasad
    • 1
  • C. S. Yogananda
    • 2
  1. 1.Mehta Research Institute of Mathematics & Math. PhysicsJhusi AllahabadIndia
  2. 2.Department of Mathematics Indian Institute of ScienceOlympaid Cell (NBHM)BangaloreIndia

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