An Elementary Problem Equivalent to the Riemann Hypothesis

Jeffrey C. Lagarias

Type: Article

Publication Date: 2002-06-01

Citations: 39

DOI: https://doi.org/10.2307/2695443

Abstract

Click to increase image sizeClick to decrease image size Additional informationNotes on contributorsJeffrey C. LagariasJEFFREY C. LAGARIAS received his Ph.D. in mathematics from M. I. T. in 1974, with a thesis in analytic number theory under the direction of H. M. Stark. Since that time he has worked for Bell Laboratories, AT&T Bell Laboratories and, from 1995, AT&T Labs-Research. He has also taught at the University of Maryland (mathematics) and Rutgers University (computer science). Besides number theory, his current mathematical interests include computational complexity theory, discrete geometry, harmonic analysis, and low dimensional topology.

Locations

American Mathematical Monthly - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Equivalents of the Riemann Hypothesis	2017	Kevin Broughan
+	Equivalents of the Riemann Hypothesis	2017	Kevin Broughan
+ PDF Chat	An Elementary Problem Equivalent to the Riemann Hypothesis	2002	Jeffrey C. Lagarias
+	A Completeness Problem Related to the Riemann Hypothesis	2005	Julio Alcántara-Bode
+	Hilbert's Tenth Problem is Unsolvable	1973	Martin Davis
+	An Equivalent to the Riemann Hypothesis	2023	Frank Vega
+	An Equivalent to the Riemann Hypothesis	2023	Frank Vega
+	An Equivalent to the Riemann Hypothesis	2023	Frank Vega
+	Assuming the Riemann Hypothesis and Its Extensions …	2007	Peter Borwein Stephen Choi Brendan Rooney Andrea Weirathmueller
+ PDF Chat	Counterexample of the Riemann Hypothesis	2022	Frank Vega
+ PDF Chat	Counterexample of the Riemann Hypothesis	2022	Frank Vega
+ PDF Chat	Counterexample of the Riemann Hypothesis	2022	Frank Vega
+ PDF Chat	Counterexample of the Riemann Hypothesis	2022	Frank Vega
+	Equivalents of the Riemann Hypothesis	2023	Kevin Broughan
+	Automated Conjecturing Approach to the Discrete Riemann Hypothesis	2016	Alexander Bradford
+	An Equivalent to the Riemann Hypothesis	2023	Frank Vega
+	A proof of Riemann Hypothesis	2020	Francisco Moga Moscoso
+	The Circle-Squaring Problem Decomposed	2009	Pamela Pierce John G. Ramsay Hannah Roberts Nancy Tinoza Jeffrey Willert Wenyuan Wu
+	A Brief Survey on the Riemann Hypothesis and Some Attempts to Prove It	2025	Renato Spigler
+ PDF Chat	The Gauss Image Problem	2020	Károly J. Böröczky Erwin Lutwak Deane Yang Gaoyong Zhang Yiming Zhao

Works That Cite This (36)

Action	Title	Year	Authors
+	The Riemann Hypothesis	2020	Frank Vega
+	The Riemann Hypothesis	2021	Frank Vega
+ PDF Chat	Robin's inequality and the Riemann hypothesis	2007	Marek Wójtowicz
+	Diophantine equations and the generalized Riemann hypothesis	2011	Brandon Fodden
+	The Riemann Hypothesis	2021	Frank Vega
+	The Riemann Hypothesis	2021	Frank Vega
+	The Riemann Hypothesis	2021	Frank Vega
+	The Riemann Hypothesis	2021	Frank Vega
+	Trois méthodes pour calculer π2/6	2013	Martin Aigner Günter M. Ziegler
+	A Divisor Function Inequality	2009	N. A. Carella

Works Cited by This (12)

Action	Title	Year	Authors
+	Riemann's Zeta Function	1974	Harold M. Edwards
+ PDF Chat	Transcendental Number Theory	1975	A. Baker
+	An Introduction to Ramanujan's “Lost” Notebook	1979	George E. Andrews
+	The Riemann Zeros and Eigenvalue Asymptotics	1999	Michael Berry Jonathan P. Keating
+ PDF Chat	Zeroes of zeta functions and symmetry	1999	Nicholas Katz Peter Sarnak
+	Petites valeurs de la fonction d'Euler	1983	Jean-Louis Nicolas
+ PDF Chat	Répartition des nombres superabondants	1975	P. Erdős Jean-Louis Nicolas
+	The lost notebook and other unpublished papers	1989	Srinivasa Ramanujan Aiyangar George E. Andrews
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.
+	An Introduction to Ramanujan's "lost" Notebook	1979	George E. Andrews