Pedro Berrizbeitia

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All published works

Action	Title	Year	Authors
+	On the Lefschetz Zeta Function for a Class of Toral Maps	2021	Pedro Berrizbeitia Marcos J. González Vı́ctor F. Sirvent
+	On the Lefschetz zeta function and the minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms on products of ℓ-spheres	2017	Pedro Berrizbeitia Marcos J. González Vı́ctor F. Sirvent
+	Quadratic forms representing pth terms of Lucas sequences	2017	Pedro Berrizbeitia Robin Chapman Florian Luca Alberto Mendoza
+	On the Lefschetz zeta function for quasi-unipotent maps on the n-dimensional torus. II: The general case	2016	Pedro Berrizbeitia Marcos J. González Alberto Mendoza Vı́ctor F. Sirvent
+	Quadratic forms representing the $p$-th Fibonacci number	2015	Pedro Berrizbeitia Florian Luca Alberto Mendoza
+	On the formula F<sub>p</sub> = u<sup>2</sup> + pv<sup>2</sup>	2014	Juan José Alba González Pedro Berrizbeitia Florian Luca
+	On the Lefschetz zeta function for quasi-unipotent maps on the<i>n</i>-dimensional torus	2014	Pedro Berrizbeitia Vı́ctor F. Sirvent
+	On Cullen numbers which are both Riesel and Sierpiński numbers	2012	Pedro Berrizbeitia J.G. Fernandes Marcos J. González Florian Luca V. Janitzio Mejía Huguet
+	Additive properties of subgroups of finite index in fields	2011	Pedro Berrizbeitia Florian Luca
+	On a compositeness test for (2 p + 1)/3	2010	Pedro Berrizbeitia Florentina Luca R. S. Melham
+	A generalization of Miller’s primality theorem	2008	Pedro Berrizbeitia Aurora Olivieri
+	Pseudopowers and primality proving	2007	Pedro Berrizbeitia Siguna Mueller Hugh C. Williams
+ PDF Chat	Sharpening ``Primes is in P'' for a large family of numbers	2005	Pedro Berrizbeitia
+	El trabajo matematico de Pedro Berrizbeitia 1	2005	T. G. Berry Pedro Berrizbeitia
+	On cycles in the sequence of unitary Cayley graphs	2004	Pedro Berrizbeitia Reinaldo E. Giudici
+	Pseudocubes and Primality Testing	2004	Pedro Berrizbeitia Stefan Müller H. C. Williams
+ PDF Chat	Biquadratic reciprocity and a Lucasian primality test	2003	Pedro Berrizbeitia T. G. Berry
+	Primality test for numbers M with a large power of 5 dividing M4−1	2003	Pedro Berrizbeitia Mauricio Odreman-Vera Juan Tena Ayuso
+	Sharpening "Primes is in P" for a large family of numbers	2002	Pedro Berrizbeitia
+ PDF Chat	Deterministic primality test for numbers of the form $A^2.3^n+1$, $n \ge 3$ odd	2001	Pedro Berrizbeitia Boris Iskra
+	Generalized Strong Pseudoprime Tests and Applications	2000	Pedro Berrizbeitia T. G. Berry
+	Quintic Reciprocity and Primality Test for Numbers of the Form $M~=~A5^{n} \pm ~\omega_{n}$	2000	Pedro Berrizbeitia Mauricio Odreman-Vera Juan Tena Ayuso
+	Random walks on edge-transitive graphs (II)	1999	José Luis Palacios José Miguel Renom Pedro Berrizbeitia
+	Cubic reciprocity and generalised Lucas-Lehmer tests for primality of 𝐴.3ⁿ±1	1999	Pedro Berrizbeitia T. G. Berry
+	On Products of Shifted Primes	1998	Pedro Berrizbeitia P. D. T. A. Elliott
+	Random walks on edge transitive graphs	1998	José Luis Palacios José Miguel Renom Pedro Berrizbeitia
+ PDF Chat	Additive Properties of Multiplicative Subgroups of Finite Index in Fields	1991	Pedro Berrizbeitia
+ PDF Chat	Additive properties of multiplicative subgroups of finite index in fields	1991	Pedro Berrizbeitia
+	A uniqueness theorem for the unitary part of a reflection	1990	Pedro Berrizbeitia Luis E. Mata-Lorenzo Lázaro Recht

Common Coauthors

Coauthor	Papers Together
Florian Luca	5
T. G. Berry	4
Vı́ctor F. Sirvent	4
Marcos J. González	4
Alberto Mendoza	3
Juan Tena Ayuso	2
Mauricio Odreman-Vera	2
José Miguel Renom	2
Luis E. Mata-Lorenzo	1
Siguna Mueller	1
Stefan Müller	1
J.G. Fernandes	1
José Luis Palacios	1
Hugh C. Williams	1
José Luis Palacios	1
P. D. T. A. Elliott	1
Lázaro Recht	1
H. C. Williams	1
Robin Chapman	1
Juan José Alba González	1
R. S. Melham	1
V. Janitzio Mejía Huguet	1
Boris Iskra	1
Florentina Luca	1
Aurora Olivieri	1
Reinaldo E. Giudici	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen	9
+	Cubic reciprocity and generalised Lucas-Lehmer tests for primality of 𝐴.3ⁿ±1	1999	Pedro Berrizbeitia T. G. Berry	5
+	On Distinguishing Prime Numbers from Composite Numbers	1983	Leonard M. Adleman Carl Pomerance Robert Rumely	5
+	THE BEHAVIOR OF THE INDEX OF PERIODIC POINTS UNDER ITERATIONS OF A MAPPING	1992	Ivan Babenko Семеон Антонович Богатый	4
+	Minimal Lefschetz sets of periods for Morse–Smale diffeomorphisms on the<i>n</i>-dimensional torus	2010	Juan L. G. Guirao Jaume Llibre	4
+	Erratum: "Minimal sets of periods for Morse-Smale diffeomorphisms on orientable compact surfaces"	2009	Jaume Llibre Vı́ctor F. Sirvent	4
+	Lefschetz numbers for periodic points	1993	Jaume Llibre	4
+	Homology theory and dynamical systems	1975	M. Shub	4
+	An Introduction to Algebraic Topology	1988	Joseph Rotman	3
+ PDF Chat	A Classical Introduction to Modern Number Theory	1990	Kenneth Ireland Michael Rosen	3
+ PDF Chat	Intersections and transformations of complexes and manifolds	1926	Solomon Lefschetz	3
+	Cyclotomic polynomials and minimal sets of Lefschetz periods	2011	Boris Iskra Vı́ctor F. Sirvent	3
+	A Proof of the Lucas-Lehmer Test	1988	Michael Rosen	3
+	Periodic points of holomorphic maps via Lefschetz numbers	2000	Núria Fagella Jaume Llibre	3
+ PDF Chat	Biquadratic reciprocity and a Lucasian primality test	2003	Pedro Berrizbeitia T. G. Berry	3
+	Homology and Dynamical Systems	1982	John Franks	3
+	Homotopy Methods in Topological Fixed and Periodic Points Theory	2006	Jerzy Jezierski Wacław Marzantowicz	3
+ PDF Chat	The dynamics of Morse-Smale diffeomorphisms on the torus	1979	Steve Batterson	3
+ PDF Chat	Differentiable dynamical systems	1967	Stephen T. Smale	3
+ PDF Chat	Periods and Lefschetz zeta functions	1994	Josefina Casasayas Jaume Llibre Ana Nunes	3
+	Differentiable Dynamical Systems	1980	Steve Smale	3
+ PDF Chat	Some smooth maps with infinitely many hyperbolic periodic points	1977	John Franks	3
+	The periodic behavior of Morse-Smale diffeomorphisms	1978	John Franks Carolyn C. Narasimhan	3
+	On the Lefschetz zeta function for quasi-unipotent maps on the<i>n</i>-dimensional torus	2014	Pedro Berrizbeitia Vı́ctor F. Sirvent	3
+	Homology theory and dynamical systems	1975	M. Shub Dennis Sullivan	3
+	Pseudocubes and Primality Testing	2004	Pedro Berrizbeitia Stefan Müller H. C. Williams	2
+	Potential Theory on Distance-Regular Graphs	1993	Norman Biggs	2
+	Factorization and Primality Testing	1989	David M. Bressoud	2
+ PDF Chat	Effective primality tests for some integers of the forms 𝐴5ⁿ-1 and 𝐴7ⁿ-1	1987	Hywel C Williams	2
+	Homology Theory: An Introduction to Algebraic Topology	2011	James W. Vick	2
+ PDF Chat	Multiplicative subgroups of finite index in a division ring	1994	Gerhard Turnwald	2
+ PDF Chat	Nielsen numbers of maps of tori	1975	Robin B. S. Brooks Robert F. Brown Jingyal Pak Douglas H. Taylor	2
+	The number of periodic orbits of smooth maps	1989	Takashi Matsuoka	2
+ PDF Chat	Sharpening ``Primes is in P'' for a large family of numbers	2005	Pedro Berrizbeitia	2
+	Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable	2002	Andrei S. Rapinchuk Yoav Segev Gary M. Seitz	2
+	Random walks on highly symmetric graphs	1990	Luc Devroye Amine Sbihi	2
+	The Lefschetz numbers of iterated maps	1995	Haibao Duan	2
+ PDF Chat	Multiplicative subgroups of index three in a field	1989	David B. Leep Daniel B. Shapiro	2
+ PDF Chat	Additive properties of multiplicative subgroups of finite index in fields	1991	Pedro Berrizbeitia	2
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	2
+ PDF Chat	Determination of the primality of 𝑁 by using factors of 𝑁²±1	1976	Hywel C Williams Jamie Judd	2
+ PDF Chat	Some results on pseudosquares	1996	Richard Lukes C. Patterson Hywel C Williams	2
+	Random walks on edge transitive graphs	1998	José Luis Palacios José Miguel Renom Pedro Berrizbeitia	2
+ PDF Chat	Lucasian criteria for the primality of 𝑁=ℎ⋅2ⁿ-1	1969	Hans Riesel	2
+ PDF Chat	It is easy to determine whether a given integer is prime	2004	Andrew Granville	2
+	Morse-Smale Diffeomorphisms Are Unipotent on Homology††AMS (MOS) SUBJECT CLASSIFICATION: 58F20.‡‡This work was partially supported by NSF-GP 28376. It was done at IMPA, and I would like to thank the members for their hospitality.	1973	M. Shub	2
+ PDF Chat	Minimal sets of periods for Morse–Smale diffeomorphisms on non-orientable compact surfaces without boundary	2012	Jaume Llibre Vı́ctor F. Sirvent	2
+	Generalized Strong Pseudoprime Tests and Applications	2000	Pedro Berrizbeitia T. G. Berry	2
+	A Probable Prime Test with High Confidence	1998	Jon Grantham	2
+	Merten's theorem for arithmetic progressions	1974	Kenneth S. Williams	2