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Article Dans Une Revue Hardy-Ramanujan Journal Année : 2000

Notes on the Riemann zeta-function-IV

Résumé

In earlier papers of this series III and IV, poles of certain meromorphic functions involving Riemann's zeta-function at shifted arguments and Dirichlet polynomials were studied. The functions in question were quotients of products of such functions, and it was shown that they have ``many'' poles. The main result in the present paper is that the same conclusion remains valid even for finite sums of functions of this type.
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Dates et versions

hal-01109628 , version 1 (26-01-2015)

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R Balasubramanian, K Ramachandra, A Sankaranarayanan, K Srinivas. Notes on the Riemann zeta-function-IV. Hardy-Ramanujan Journal, 2000, Volume 23 - 2000, pp.2 - 9. ⟨10.46298/hrj.2000.141⟩. ⟨hal-01109628⟩
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