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- W4322007041 abstract "For any real $$beta _0in [tfrac{1}{2},1)$$ , let $$textrm{GRH}[beta _0]$$ be the assertion that for every Dirichlet character $$chi $$ and all zeros $$rho =beta +igamma $$ of $$L(s,chi )$$ , one has $$beta leqslant beta _0$$ (in particular, $$textrm{GRH}[frac{1}{2}]$$ is the Generalized Riemann Hypothesis). In this paper, we show that the validity of $$textrm{GRH}[frac{9}{10}]$$ depends only on certain distributional properties of the zeros of the Riemann zeta function $$zeta (s)$$ . No conditions are imposed on the zeros of nonprincipal Dirichlet L-functions." @default.
- W4322007041 created "2023-02-26" @default.
- W4322007041 creator A5021877667 @default.
- W4322007041 date "2023-02-25" @default.
- W4322007041 modified "2023-09-25" @default.
- W4322007041 title "Towards the Generalized Riemann Hypothesis using only zeros of the Riemann zeta function" @default.
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- W4322007041 doi "https://doi.org/10.1007/s40993-023-00426-0" @default.
- W4322007041 hasPublicationYear "2023" @default.
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