On the distribution of zeros of Dirichlet's $L$-function on the line $\sigma = {1 / 2}$

DOI10.3792/pja/1195518184zbMath0368.10031OpenAlexW1991775162MaRDI QIDQ4145795

Teluhiko Hilano

Publication date: 1976

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518184

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35)

Related Items (1)

Zeros of the Dirichlet L-functions on short segments of the critical line

Cites Work

• A simplification in the proof that \(N_0\;(T)>(1/3)\) \(N(T)\) for Riemann's zeta-function
• More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
• A large sieve density estimate near \(\sigma = 1\)
• A functional equation for Dirichlet 𝐿-series and the problem of divisors in arithmetic progressions
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