Paul Kinlaw

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All published works

Action	Title	Year	Authors
+ PDF Chat	Higher Mertens constants for almost primes II	2024	Jonathan Bayless Paul Kinlaw Jared Duker Lichtman
+	The reciprocal sums of pseudoprimes and Carmichael numbers	2023	Paul Kinlaw
+	Higher Mertens constants for almost primes II	2023	Jonathan Bayless Paul Kinlaw Jared Duker Lichtman
+	Sums Related To The Fibonacci Sequence	2022	Paul Kinlaw Michael B. Morris Samanthak Thiagarajan
+ PDF Chat	Higher Mertens constants for almost primes	2021	Jonathan Bayless Paul Kinlaw Jared Duker Lichtman
+	Higher Mertens constants for almost primes	2021	Jonathan Bayless Paul Kinlaw Jared Duker Lichtman
+	On the equation $\varphi (n)=\varphi (n+1)$	2020	Paul Kinlaw Mitsuo KOBAYASHI Carl Pomerance
+	Lower Bounds for Numbers With Three Prime Factors.	2019	Paul Kinlaw
+ PDF Chat	Sums over primitive sets with a fixed number of prime factors	2018	Jonathan Bayless Paul Kinlaw Dominic Klyve
+	Explicit Bounds for the Sum of Reciprocals of Pseudoprimes and Carmichael Numbers.	2017	Jonathan Bayless Paul Kinlaw
+	Consecutive coincidences of Euler’s function	2015	Jonathan Bayless Paul Kinlaw
+ PDF Chat	Refocusing of light rays in space-time	2011	Paul Kinlaw
+	Topological properties of manifolds admitting a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msup></mml:math>-Riemannian metric	2010	Vladimir Chernov Paul Kinlaw Rustam Sadykov
+	Refocusing of null-geodesics in Lorentz manifolds.	2010	Paul Kinlaw

Common Coauthors

Coauthor	Papers Together
Jonathan Bayless	7
Jared Duker Lichtman	4
Rustam Sadykov	1
Carl Pomerance	1
Dominic Klyve	1
Michael B. Morris	1
Mitsuo KOBAYASHI	1
Vladimir Chernov	1
Samanthak Thiagarajan	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The reciprocal sum of the amicable numbers	2018	Hanh Nguyen Carl Pomerance	6
+	Explicit estimates of some functions over primes	2016	Pierre Dusart	5
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	5
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	3
+	A triple Mertens evaluation	2016	Dumitru Popa	3
+	A double Mertens type evaluation	2013	Dumitru Popa	3
+ PDF Chat	Elementary methods in the study of the distribution of prime numbers	1982	Harold G. Diamond	2
+	Global Lorentzian Geometry	2017	John K. Beem Paul E. Ehrlich Kevin L. Easley	2
+	On the counting function of semiprimes	2020	Dragos Crisan Radek Erban	2
+ PDF Chat	Stable singularities of wave-fronts in general relativity	1998	Robert J. Low	2
+	Manifolds all of whose Geodesics are Closed	1978	Arthur L. Besse	2
+ PDF Chat	Linking and Causality in Globally Hyperbolic Space-times	2008	Vladimir Chernov Yuli B. Rudyak	2
+ PDF Chat	Legendrian Links, Causality, and the Low Conjecture	2009	Vladimir Chernov Stefan Nemirovski	2
+ PDF Chat	Sums over primitive sets with a fixed number of prime factors	2018	Jonathan Bayless Paul Kinlaw Dominic Klyve	2
+ PDF Chat	Globally hyperbolic spacetimes can be defined as ‘causal’ instead of ‘strongly causal’	2007	Antonio Bernal Miguel Sánchez	2
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	2
+	The space of null geodesics	2001	Robert J. Low	2
+	The Large Scale Structure of Space-Time	1973	S. W. Hawking George Ellis	2
+	Analytic Number Theory	2012	Jean-Marie De Koninck Florian Luca	2
+	The Space of Null Geodesics (and a New Causal Boundary)	2006	Robert J. Low	2
+ PDF Chat	On Smooth Cauchy Hypersurfaces and Geroch’s Splitting Theorem	2003	Antonio Bernal Miguel Sánchez	2
+ PDF Chat	Generalized Mertens Sums	2017	Gérald Tenenbaum	2
+ PDF Chat	Non-negative Legendrian isotopy in<i>ST</i><sup>∗</sup><i>M</i>	2010	Vladimir Chernov Stefan Nemirovski	2
+	Estimates of Some Functions Over Primes without R.H.	2010	Pierre Dusart	2
+ PDF Chat	Linking, Legendrian linking and causality	2004	José Natário Paul Tod	2
+	Ricci flow with surgery on three-manifolds	2003	Grisha Perelman	2
+	Almost primes and the Banks–Martin conjecture	2019	Jared Duker Lichtman	2
+	A multiple Mertens evaluation	2019	Tianfang Qi Su Hu	2
+	There are Infinitely Many Carmichael Numbers	1994	W. R. Alford Andrew Granville Carl Pomerance	1
+	Reciprocal Sums as a Knowledge Metric: Theory, Computation, and Perfect Numbers	2013	Jonathan Bayless Dominic Klyve	1
+	Number Theory in Progress	1999		1
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	1
+	SEMI-RIEMANNIAN GEOMETRY With Applications to Relativity	1984	M. A. H. MacCallum	1
+	On manifolds with many closed geodesics	1963	Hans Samelson	1
+	Note on a Paper By L. G. Sathe	1954	Atle Selberg	1
+ PDF Chat	On the Sum of Reciprocals of Amicable Numbers	2011	Jonathan Bayless Dominic Klyve	1
+ PDF Chat	Finite Extinction Time for the Solutions to the Ricci Flow on Certain Three-Manifolds	2008	G. Perelman	1
+	Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)	1975	J. Barkley Rosser Lowell Schoenfeld	1
+	Explicit Bounds for the Sum of Reciprocals of Pseudoprimes and Carmichael Numbers.	2017	Jonathan Bayless Paul Kinlaw	1
+	Optimal primitive sets with restricted primes	2013	William D. Banks Greg Martin	1
+	Algebraic topology	2001	Allen Hatcher	1
+ PDF Chat	Smoothness of Time Functions and the Metric Splitting of Globally Hyperbolic Spacetimes	2005	Antonio Bernal Miguel Sánchez	1
+ PDF Chat	Further Results on the Smoothability of Cauchy Hypersurfaces and Cauchy Time Functions	2006	Antonio Bernal Miguel Sánchez	1
+	Sharper bounds for the Chebyshev function 𝜃(𝑥)	2021	Samuel Broadbent Habiba Kadiri Allysa Lumley Nathan Ng Kirsten Wilk	1
+ PDF Chat	Higher Mertens constants for almost primes	2021	Jonathan Bayless Paul Kinlaw Jared Duker Lichtman	1
+ PDF Chat	The causal hierarchy of spacetimes	2008	E. Minguzzi Miguel Sánchez	1
+	Analytic Number Theory, Modular Forms and q-Hypergeometric Series	2017		1
+ PDF Chat	On the Distribution of Pseudoprimes	1981	Carl Pomerance	1
+	Introduction to Analytic Number Theory	1976	Tom M. Apostol	1
+	Estimates of Some Functions Over Primes without R.H.	2010	Pierre Dusart	1