On the remainder-term of the prime-number formula, I

P. Túrán

Type: Article

Publication Date: 1950-03-01

Citations: 31

DOI: https://doi.org/10.1007/bf02022552

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Locations

Acta Mathematica Academiae Scientiarum Hungaricae - View

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Works That Cite This (30)

Action	Title	Year	Authors
+ PDF Chat	Generalized Euler constants	2008	Harold G. Diamond Kevin Ford
+ PDF Chat	Density estimates for the zeros of the Beurling ζ function in the critical strip	2022	Szilárd Gy. Révész
+ PDF Chat	The Skewes Number for Twin Primes: Counting Sign Changes of π 2(x) – C2Li2(x)	2011	Marek Wolf
+	Sharper Bounds for the Chebyshev function $\theta(x)$	2020	Samuel Broadbent Habiba Kadiri Allysa Lumley Nathan Ng Kirsten Wilk
+ PDF Chat	On the Mean Value of Arithmetic Error Terms	2022	J. Pintz
+ PDF Chat	Oscillation of the Remainder Term in the Prime Number Theorem of Beurling, “Caused by a Given ζ-Zero”	2022	Szilárd Gy. Révész
+	The Method of Pintz for the Ingham Question About the Connection of Distribution of ζ-Zeroes and Order of the Error in the PNT in the Beurling Context	2024	Szilárd Gy. Révész
+ PDF Chat	Landau’s problems on primes	2009	J. Pintz
+	Oscillatory properties of the remainder term of the prime number formula	1983	J. Pintz
+	Inequalities between sums over prime numbers in progressions	2020	Emre Alkan

Works Cited by This (5)

Action	Title	Year	Authors
+	Mathematical Notes (12): An Inequality for a Sum of Cosines	1937	J. E. Littlewood
+	An Elementary Proof of the Prime-Number Theorem	1949	Atle Selberg
+	Ein Mittelwertsatz in der Primzahltheorie	1922	Harald Cram�r
+	On the Difference π(<i>x</i> )-li(<i>x</i> ) (I)	1933	S. Skewes
+ PDF Chat	A note on the distribution of primes	1935	A. E. Ingham