Manuel Benito

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All published works

Action	Title	Year	Authors
+	Fray Juan de Ortega's approximations, 500 years after	2012	Manuel Benito J. Javier Escribano Emilio Cachorro Fernández Mercedes Marcos Sánchez
+	On Egyptian fractions	2010	Manuel Bello-Hernández Manuel Benito Emilio Fernández
+	On Egyptian fractions	2010	Manuel Bello-Hernández Manuel Benito Emilio Fernández
+ 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
+ PDF Chat	Möbius inversion formulas for flows of arithmetic semigroups	2007	Manuel Benito Luis M. Navas Juan Malumbres
+	Pythagorean triangles with legs less than n	2002	Manuel Benito Juan Malumbres
+ PDF Chat	Aliquot Sequence 3630 Ends After Reaching 100 Digits	2002	Manuel Benito Wolfgang Creyaufmüller Juan Malumbres Paul Zimmermann
+ PDF Chat	Advances in aliquot sequences	1999	Manuel Benito Juan Malumbres

Common Coauthors

Coauthor	Papers Together
Juan Malumbres	6
Manuel Bello-Hernández	2
Emilio Fernández	2
Paul Zimmermann	1
Luis M. Navas	1
J. Javier Escribano	1
Mercedes Marcos Sánchez	1
Wolfgang Creyaufmüller	1
Emilio Cachorro Fernández	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	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.	3
+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol	3
+	The Mertens Conjecture Revisited	2006	Tadej Kotnik Herman te Riele	2
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy	2
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau	2
+	Introduction to number theory	2009	Luo Hua	2
+ PDF Chat	Disproof of the Mertens conjecture.	1985	Andrew Odlyzko H. J. J. te Riele	2
+	On the Order of the Mertens Function	2004	Tadej Kotnik J. Lune	2
+	Introduction to Analytic Number Theory	1976	Tom M. Apostol	2
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	2
+	An omega theorem on pythagorean triples	1993	Manfred Kühleitner	1
+	Corrigendum to "What Drives an Aliquot Sequence?"	1980	Richard K. Guy J. L. Selfridge	1
+	Dense Egyptian fractions	1999	Greg Martin	1
+ PDF Chat	On the number of primitive Pythagorean triangles with area less than<i>n</i>	1955	Roy Wild	1
+	The Möbius inversion and Fourier coefficients	2001	Zhaodou Chen Yanan Shen Jun Ding	1
+ PDF Chat	Advances in aliquot sequences	1999	Manuel Benito Juan Malumbres	1
+ PDF Chat	Multiple Pythagorean Number Triples	1991	Albert Fässler	1
+ PDF Chat	Computing the Summation of the Möbius Function	1996	Marc Deléglise Joël Rivat	1
+ PDF Chat	A theorem on quadratic residues	1951	Leo Moser	1
+	On a problem of Erdös, Straus and Schinzel	1970	R. C. Vaughan	1
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	1
+ PDF Chat	On the distribution of Pythagorean triangles	1955	Joachim Lambek Leo Moser	1
+	Counting the number of solutions to the Erdos-Straus equation on unit fractions	2011	Christian Elsholtz Terence Tao	1
+	The Distribution of Pythagorean Triples and a Three-Dimensional Divisor Problem	1989	Werner Georg Nowak Winfried Recknagel	1
+ PDF Chat	Über eine besondere Art von Umkehrung der Reihen.	1832	A. F. Möbius	1
+	Asymptotic Evaluation of Certain Totient Sums	1900	D. N. Lehmer	1
+ PDF Chat	Fonction sommatoire de la fonction de Möbius, 3. Majorations asymptotiques effectives fortes	1995	Mahomed El Marraki	1
+	New Möbius inversion formulas	1992	Shang Yuan Ren	1
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	1
+ PDF Chat	Mean value theorems for binary Egyptian fractions II	2012	Jing-Jing Huang R. C. Vaughan	1
+	Diophantine equations	1969	L. J. Mordell	1
+	On sums of three unit fractions with polynomial denominators	2000	Andrzej Schinzel	1
+	KANT V4	1997	Mario Daberkow Claus Fieker Jürgen Klüners Michael Pohst Katherine Roegner M. Schörnig K. Wildanger	1
+	Mean value theorems for binary Egyptian fractions	2011	Jing-Jing Huang R. C. Vaughan	1
+	Geschichte der Mathematik.	1939	A. D. Campbell Heinrich Wieleitner	1
+	Introduction to Number Theory	1982	Hua Loo Keng	1
+	Arithmetical Functions	1970	K. Chandrasekharan	1
+	Parametric Möbius inversion formulas	1997	Beifang Chen	1
+	Elementary Methods in Number Theory	2000	Melvyn B. Nathanson	1
+ PDF Chat	On the unique factorization theorem in the ring of number theoretic functions	1965	Chin-Pi Lu	1
+	Elementary Theory of Numbers	1988	Wacław Sierpiński	1
+	Representations of Integers as Sums of Squares	1985	Emil Grosswald	1
+	Abstract Analytic Number Theory	1975	John Knopfmacher	1
+ PDF Chat	Corrigendum to: “What drives an aliquot sequence?” [Math. Comp. 29 (1975), 101–107; MR 52 #5542]	1980	Richard K. Guy J. L. Selfridge	1
+ PDF Chat	The ring of number-theoretic functions	1959	E.D. Cashwell Cath Everett	1
+ PDF Chat	A transform involving Chebyshev polynomials and its inversion formula	2005	Óscar Ciaurri Luis M. Navas Juan Malumbres	1
+ PDF Chat	A conjecture of Krishnaswami	1948	D. H. Lehmer	1