Notes on the Riemann zeta-function-IV

R Balasubramanian (1) , K Ramachandra (1) , A Sankaranarayanan (2)

1 IMSc - Institute of Mathematical Sciences [Chennai]
2 TIFR - 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.

Mots clés: gaps between poles; Dirichlet series; Poles

Domaines: Mathématiques [math]

R Balasubramanian, K Ramachandra, A Sankaranarayanan. Notes on the Riemann zeta-function-IV. Hardy-Ramanujan Journal, 1999, Volume 22 - 1999, pp.34-41. ⟨10.46298/hrj.1999.140⟩. ⟨hal-01109608⟩