Explicit interval estimates for prime numbers
Copyright policy )Explicit interval estimates for prime numbers
Using a smoothing function and recent knowledge on the zeros of the Riemann zeta-function, we compute pairs of ( Δ , x 0 ) (\Delta ,x_0) such that for all x ≥ x 0 x \geq x_0 there exists at least one prime in the interval ( x ( 1 − Δ − 1 ) , x ] (x(1-\Delta ^{-1}),x] .
- UNSW Canberra Australia
Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Distribution of primes, Mathematics - Number Theory, primes in short intervals, 11Y35, 11N05, Analytic computations, \(\zeta (s)\) and \(L(s, \chi)\), FOS: Mathematics, Bertrand's postulate, Number Theory (math.NT)
Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Distribution of primes, Mathematics - Number Theory, primes in short intervals, 11Y35, 11N05, Analytic computations, \(\zeta (s)\) and \(L(s, \chi)\), FOS: Mathematics, Bertrand's postulate, Number Theory (math.NT)
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