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Some Aspects of the Central Critical Value of Automorphic L-functions

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Abstract

The central critical value of automorphic L-functions has been the subject of intensive investigation in recent times. It has several aspects like positivity, algebraicity, growth properties with respect to naturally attached parameters etc. In this expository article we will briefly describe some of those developments for a special class of automorphic L-functions which will be introduced below. Our aim is to provide the reader a glimpse of this very active field and our treatment is far from exhaustive. We do not give any proofs.

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Authors
  1. J. Sengupta
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Editors and Affiliations

  1. Harish-Chandra Research Institute, Chhatnag Road, Jhusi, 211 019, Allahabad, India

    Sukumar Das Adhikari  & B. Ramakrishnan  & 

  2. Department of Mathematics, University of Pune, 411 007, Pune, India

    Shashikant A. Katre

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© 2002 Hindustan Book Agency

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Sengupta, J. (2002). Some Aspects of the Central Critical Value of Automorphic L-functions. In: Adhikari, S.D., Katre, S.A., Ramakrishnan, B. (eds) Current Trends in Number Theory. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-09-5_17

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