Explicit interval estimates for prime numbers

نویسندگان

چکیده

Using a smoothing function and recent knowledge on the zeros of Riemann zeta-function, we compute pairs $(\Delta,x_0)$ such that for all $x \geq x_0$ there exists at least one prime in interval $(x(1 - \Delta^{-1}), x]$.

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 2022

ISSN: ['1088-6842', '0025-5718']

DOI: https://doi.org/10.1090/mcom/3719