On Propositions Pertaining to the Riemann Hypothesis II

Pathikrit Basu

Type: Article

Publication Date: 2023-10-14

Citations: 0

DOI: https://doi.org/10.9734/ajpas/2023/v25i2553

Abstract

Aims/Objectives: In this paper, we define certain classes of non-zeroes of the Riemann zeta function. We also present associated algorithms for finding these non-zeroes, which can enable corresponding computations. Some theoretical connections are also drawn with mixed integer programming and continuous Diophantine approximation. We also study, for points in the domain of the Riemann zeta function, their induced distributions over the unit circle.

Locations

Asian Journal of Probability and Statistics - View - PDF

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Works Cited by This (18)

Action	Title	Year	Authors
+	Some Calculations of the Riemann Zeta-Function	1953	Alan Turing
+	A local Riemann hypothesis, I	2000	Daniel Bump Kwok-Kwong Stephen Choi Pär Kurlberg Jeffrey D. Vaaler
+ PDF Chat	The $k$-dimensional Duffin and Schaeffer conjecture	1989	Andrew Pollington R. C. Vaughan
+	Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse	2013	Bernhard Riemann
+ PDF Chat	The zeros of Riemann's zeta-function on the critical line	1921	G. H. Hardy J. E. Littlewood
+ PDF Chat	An Elementary Problem Equivalent to the Riemann Hypothesis	2002	Jeffrey C. Lagarias
+ PDF Chat	On uniform distribution of sequences	1987	Péter Kiss Robert F. Tichy
+ PDF Chat	On the Duffin-Schaeffer conjecture	2020	Dimitris Koukoulopoulos James Maynard
+ PDF Chat	The Riemann hypothesis is true up to 3·1012	2021	David J. Platt Tim Trudgian
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