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Transcendental Infinite Sums and Some Related Questions

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Number Theory and Discrete Mathematics

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Abstract

Erdős and Chowla put forward some questions regarding non-vanishing of certain infinite sums. In this article, we present an expository account of results obtained in that direction. These include some interesting results of Baker, Birch and Wirsing and some recent work of the present author jointly with Saradha, Shorey and Tijdeman.

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References

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Author information

Authors and Affiliations

  1. Harish-Chandra Research Institute, (Formerly Mehta Research Institute), Chhatnag Road, Jhusi, Allahabad, 211 019, India

    Sukumar Das Adhikari

Authors
  1. Sukumar Das Adhikari
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Panjab University, Chandigarh, India

    A. K. Agarwal

  2. Department of Mathematics, Univ. of Illinois at UC Urbana, IL, 61801, USA

    Bruce C. Berndt

  3. Institute of Mathematik, Strudlhof gasse 4 (Strudlhof), A-1090, Wien, Austria

    Christian F. Krattenthaler

  4. “Theorie des Nombers”, Institute de Mathematiques de Jussieu, Case 247, 4, Place, Jussieu, F-75252, Paris Cedex 05, France

    Michel Waldschmidt

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© 2002 Hindustan Book Agency

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Adhikari, S.D. (2002). Transcendental Infinite Sums and Some Related Questions. In: Agarwal, A.K., Berndt, B.C., Krattenthaler, C.F., Mullen, G.L., Ramachandra, K., Waldschmidt, M. (eds) Number Theory and Discrete Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-10-1_17

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