On the Order of the Mertens Function

Tadej Kotnik, J. Lune

Type: Article

Publication Date: 2004-01-01

Citations: 26

DOI: https://doi.org/10.1080/10586458.2004.10504556

View Publication

Locations

Experimental Mathematics - View

Similar Works

Action	Title	Year	Authors
+	On the Order Estimate of the Mertens Function and its Relation to the Zeros of the Riemann Zeta Function	2023	Subham De
+	Computations of the Mertens Function and Improved Bounds on the Mertens Conjecture	2016	Gregory B. Hurst
+	Computations of the Mertens Function and Improved Bounds on the Mertens Conjecture	2016	G. Cameron Hurst
+	Further systematic computations on the summatory function of the Möbius function	2003	Tadej Kotnik J. van deLune
+ PDF Chat	Bounds of the Mertens Function	2020	Darrell Cox Sourangshu Ghosh
+ PDF Chat	Computations of the Mertens function and improved bounds on the Mertens conjecture	2017	Gregory B. Hurst
+	The Mertens Conjecture Revisited	2006	Tadej Kotnik Herman te Riele
+ PDF Chat	The Estimation of the Mertens Function	2019	Janusz Czopik
+ PDF Chat	Acerca de algunos exponentes de Mersenne	2024	Gerardo Miramontes de León
+	Another estimating the absolute value of Mertens function	2020	Rong Qiang Wei
+	On Some Specific Order Estimates for the Mertens Function and Its Relation to the Non-trivial Zeros of $\zeta(s)$	2024	Subham De
+	A double Mertens type evaluation	2013	Dumitru Popa
+	TWO ELEMENTARY FORMULAE AND SOME COMPLICATED PROPERTIES FOR MERTENS FUNCTION	2018	Rong Qiang
+ PDF Chat	Disproof of the Mertens conjecture.	1985	Andrew Odlyzko H. J. J. te Riele
+ PDF Chat	Computing the Mertens and Meissel–Mertens Constants for Sums over Arithmetic Progressions	2010	Alessandro Languasco Alessandro Zaccagnini
+	On estimates of the Mertens function	2018	Biswajyoti Saha Ayyadurai Sankaranarayanan
+ PDF Chat	A formula for Mertens' function and its applications	2022	R. Lewis
+	Randomness of Mobius coefficents and brownian motion: growth of the Mertens function and the Riemann Hypothesis	2021	Giuseppe Mussardo André LeClair
+	On the order of a class of meromorphic functions	1996	WU Peng-cheng
+ PDF Chat	On the order of the derivative of a meromorphic function	1951	Masatsugu Tsuji

Works That Cite This (25)

Action	Title	Year	Authors
+ PDF Chat	The distribution of weighted sums of the Liouville function and Pólyaʼs conjecture	2012	Peter Humphries
+ PDF Chat	Symmetric matrices related to the Mertens function	2009	Jean-Paul Cardinal
+ PDF Chat	Recursive formulas related to the summation of the mobius function	2008	Manuel Benito Juan Malumbres
+ PDF Chat	Recursive Formulas Related To The Summation Of The Mobius Function	2008	Manuel Benito Juan Malumbres
+	On proving an Inequality of Ramanujan using Explicit Order Estimates of the Mertens Function	2024	Subham De
+	A Variant of Möbius Inversion	2018	Jean-Paul Cardinal Marius Overholt
+	On proving an Inequality of Ramanujan using Explicit Order Estimates for the Mertens Function	2024	Subham De
+	On Some Specific Order Estimates for the Mertens Function and Its Relation to the Non-trivial Zeros of $\zeta(s)$	2024	Subham De
+ PDF Chat	Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis	2021	Giuseppe Mussardo André LeClair
+ PDF Chat	Computations of the Mertens function and improved bounds on the Mertens conjecture	2017	Gregory B. Hurst

Works Cited by This (11)

Action	Title	Year	Authors
+	Sur la distribution des nombres premiers	1901	Helge Koch
+ PDF Chat	Computing π(x): An analytic method	1987	Jeffrey C. Lagarias Andrew Odlyzko
+ PDF Chat	VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION	2002	Kevin Ford
+ PDF Chat	The Riemann hypothesis and pseudorandom features of the Möbius sequence	1968	I. J. Good R. F. Churchhouse
+ PDF Chat	Fonction sommatoire de la fonction de Möbius 1. Majorations expérimentales	1993	François Dress
+ PDF Chat	Computing the Summation of the Möbius Function	1996	Marc Deléglise Joël Rivat
+	A Consequence of the Riemann Hypothesis	1927	E. C. Titchmarsh
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown
+ PDF Chat	The distribution of the summatory function of the Möbius function	2004	Nathan Ng
+ PDF Chat	Disproof of the Mertens conjecture.	1985	Andrew Odlyzko H. J. J. te Riele