Sharper bounds for the Chebyshev function 𝜃(𝑥)

Samuel Broadbent, Habiba Kadiri, Allysa Lumley, Nathan Ng, Kirsten Wilk

Type: Article

Publication Date: 2021-03-24

Citations: 31

DOI: https://doi.org/10.1090/mcom/3643

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Mathematics of Computation - View

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Works Cited by This (44)

Action	Title	Year	Authors
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld
+	Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function	2015	Michael J. Mossinghoff Timothy S. Trudgian
+	Multiplicative Number Theory	1980	H. Davenport
+	A still sharper region where $\pi (x)-{\mathrm {li}}(x)$ is positive	2015	Yannick Saouter Timothy S. Trudgian Patrick Demichel
+ PDF Chat	Sharper bounds for the Chebyshev functions 𝜃(𝑥) and 𝜓(𝑥). II	1976	Lowell Schoenfeld
+	Estimates of Some Functions Over Primes without R.H.	2010	Pierre Dusart
+ PDF Chat	Estimates for the Chebyshev function 𝜓(𝑥)-𝜃(𝑥)	1985	N. Costa Pereira
+ PDF Chat	On the first sign change of $\theta (x) -x$	2015	David J. Platt Timothy S. Trudgian
+ PDF Chat	Sur la distribution des zéros de la fonction $\zeta(s)$ et ses conséquences arithmétiques	1896	Jacques Hadamard
+	Zeros of the Riemann zeta-function	1970	С. Б. Стечкин