Notes on the Riemann zeta-function-IV

R Balasubramanian; K Ramachandra; A Sankaranarayanan

doi:10.46298/hrj.1999.140

R Balasubramanian ; K Ramachandra ; A Sankaranarayanan - Notes on the Riemann zeta-function-IV

hrj:140 - Hardy-Ramanujan Journal, January 1, 1999, Volume 22 - 1999 - https://doi.org/10.46298/hrj.1999.140

Notes on the Riemann zeta-function-IVArticle

Authors: R Balasubramanian ¹; K Ramachandra ¹; A Sankaranarayanan ²

1 Institute of Mathematical Sciences [Chennai]
2 Tata Institute for Fundamental Research

For ``good Dirichlet series'' $F(s)$ we prove that there are infinitely many poles $p_1+ip_2$ in $\Im (s)>C$ for every fixed $C>0$. Also we study the gaps between the numbers $p_2$ arranged in the non-decreasing order.

https://doi.org/10.46298/hrj.1999.140

Source: HAL:hal-01109608v1

Volume: Volume 22 - 1999

Published on: January 1, 1999

Imported on: March 3, 2015

Keywords: Poles, Dirichlet series, gaps between poles,[MATH] Mathematics [math]

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