Density theorems for Riemann’s zeta-function near the line ${\rm Re}\,s = 1$

J. Pintz

Type: Article

Publication Date: 2023-01-01

Citations: 3

DOI: https://doi.org/10.4064/aa210824-10-5

Abstract

We prove a series of density theorems for Riemann's zeta-function for the number of zeros lying near the boundary line ${\rm Re}\,s = 1$ of the critical strip. In particular, we improve the constant appearing in the exponent of the Halász–Turán density th

Locations

Acta Arithmetica - View - PDF

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Works Cited by This (6)

Action	Title	Year	Authors
+ PDF Chat	VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION	2002	Kevin Ford
+	On the distribution of roots of Riemann zeta and allied functions, I	1969	Gábor Halász P. Túrán
+	Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three	2015	Jean Bourgain Ciprian Demeter Larry Guth
+	THE RIEMANN ZETA-FUNCTION The Theory of the Riemann Zeta-Function with Applications	1986	Matti Jutila
+ PDF Chat	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery
+	Density theorems for the zeta function	1971	Enrico Bombieri