Mark Kozek

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All published works

Action	Title	Year	Authors
+	Computing supersingular endomorphism rings using inseparable endomorphisms	2025	Jenny G. Fuselier Annamaria Iezzi Mark Kozek Travis Morrison Changningphaabi Namoijam
+	Computing supersingular endomorphism rings using inseparable endomorphisms	2023	Jenny G. Fuselier Annamaria Iezzi Mark Kozek Travis Morrison Changningphaabi Namoijam
+	Harmonious pairs	2015	Mark Kozek Florian Luca Paul Pollack Carl Pomerance
+	Polygonal, Sierpinski, and Riesel numbers	2015	Daniel Baczkowski Justin Eitner Carrie E. Finch Braedon Suminski Mark Kozek
+	An Asymptotic Formula for Goldbach's Conjecture with Monic Polynomials in ℤ[<em>x</em>]	2010	Mark Kozek
+	On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture	2008	Michael Filaseta Carrie E. Finch Mark Kozek

Common Coauthors

Coauthor	Papers Together
Annamaria Iezzi	2
Travis Morrison	2
Changningphaabi Namoijam	2
Carrie E. Finch	2
Jenny G. Fuselier	2
Carl Pomerance	1
Daniel Baczkowski	1
Paul Pollack	1
Florian Luca	1
Braedon Suminski	1
Michael Filaseta	1
Justin Eitner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Sur un problème concernant les nombres.	1960	W. Sierpiński	2
+	On integers of the forms kr−2n and kr2n+1	2003	Yong-Gao Chen	2
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy	1
+ PDF Chat	On the Equations <i>z<sup>m</sup> </i> = <i>F</i> (<i>x, y</i> ) and <i>Ax<sup>p</sup> </i> + <i>By<sup>q</sup> </i> = <i>Cz<sup>r</sup> </i>	1995	Henri Darmon Andrew Granville	1
+	On Some Inequalities for Polynomials in Several Variables	1962	K. Mahler	1
+ PDF Chat	Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 Up to High Powers	1988	John Brillhart D. H. Lehmer J. L. Selfridge Bryant Tuckerman Samuel S. Wagstaff	1
+ PDF Chat	Not every number is the sum or difference of two prime powers	1975	Fred Cohen J. L. Selfridge	1
+	An algorithm for computing modular forms on Γ0(N)	1980	Arnold Pizer	1
+ PDF Chat	Cryptographic Hash Functions from Expander Graphs	2007	Denis Charles Kristin Lauter Eyal Z. Goren	1
+	On Goldbach's Conjecture for Integer Polynomials	2006	Filip Saidak	1
+	On the Class-Number of the Corpus <i>P</i> (√−<i>k</i> )	1928	J. E. Littlewood	1
+	Perfect power Riesel numbers	2015	Carrie E. Finch Lenny Jones	1
+	Bemerkung zu der Arbeit �ber vollkommene Zahlen in Math. Ann. Bd. 133, S. 431?438 (1957)	1959	Eduard Wirsing	1
+ PDF Chat	Computing the endomorphism ring of an ordinary elliptic curve over a finite field	2009	Gaetan Bisson Andrew V. Sutherland	1
+	THE EXCEPTIONAL SET IN THE POLYNOMIAL GOLDBACH PROBLEM	2011	Paul Pollack	1
+	Nonlinear Sierpiński and Riesel numbers	2012	Carrie E. Finch Joshua Harrington Lenny Jones	1
+	Eine Schranke für befreundete Zahlen mit gegebener Teileranzahl	1974	Walter Borho	1
+	Elliptic and modular curves over finite fields and related computational issues	1997	Noam D. Elkies	1
+	FIBONACCI-RIESEL AND FIBONACCI-SIERPI ¶ NSKI NUMBERS	1962	Florian Luca V. Janitzio Mejía Huguet	1
+	Computing isogenies between supersingular elliptic curves over $${\mathbb {F}}_p$$ F p	2014	Christina Delfs Steven D. Galbraith⋆	1
+ PDF Chat	On the distribution of some integers related to perfect and amicable numbers	2013	Paul Pollack Carl Pomerance	1
+	A Goldbach Theorem for Polynomials with Integral Coefficients	1965	David R. Hayes	1
+	On Polynomial Rings with a Goldbach Property	2011	Paul Pollack	1
+ PDF Chat	Combinatorial Mathematics VIII	1981		1
+ PDF Chat	Sur quelques théorèmes de M. Petrovitch relatifs aux zéros des fonctions analytiques	1905	Edmund Landau	1
+ PDF Chat	On the quaternion -isogeny path problem	2014	David Kohel Kristin Lauter Christophe Petit Jean-Pierre Tignol	1
+	Number Theory 1: Fermat's Dream	2000	Kazuya Kato Nobushige Kurokawa Takeshi Saito	1
+ PDF Chat	Supersingular Isogeny Graphs and Endomorphism Rings: Reductions and Solutions	2018	Kirsten Eisenträger Sean Hallgren Kristin Lauter Travis Morrison Christophe Petit	1
+	Cycles in the Supersingular ℓ-Isogeny Graph and Corresponding Endomorphisms	2019	Efrat Bank Catalina Camacho-Navarro Kirsten Eisenträger Travis Morrison Jennifer Park	1
+	Number Theory for the Millennium I	2002	Michael A. Bennett	1
+ PDF Chat	Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems	2017	Steven D. Galbraith⋆ Christophe Petit Javier Silva	1
+ PDF Chat	Computing cardinalities of -curve reductions over finite fields	2016	François Morain Charlotte Scribot Benjamin Smith	1
+ PDF Chat	Modular polynomials via isogeny volcanoes	2011	Reinier Bröker Kristin Lauter Andrew V. Sutherland	1
+ PDF Chat	Computing endomorphism rings of supersingular elliptic curves and connections to path-finding in isogeny graphs	2020	Kirsten Eisenträger Sean Hallgren Christopher Leonardi Travis Morrison Jennifer Park	1
+ PDF Chat	On basic and Bass quaternion orders	2021	Sara Chari Daniel Smertnig John Voight	1
+ PDF Chat	Adventures in Supersingularland	2021	Sarah Arpin Catalina Camacho-Navarro Kristin Lauter Joelle Lim Kristina Nelson Travis Scholl Jana Sotáková	1
+ PDF Chat	Unsolved Problems in Number Theory	2004	Richard K. Guy	1
+	On integers of the forms <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>k</mml:mi><mml:mo>±</mml:mo><mml:msup><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>k</mml:mi><mml:msup><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:msup><mml:mo>±</mml:mo><mml:mn>1</mml:mn></mml:math>	2006	Yong-Gao Chen	1
+	On the number of positive integers ≤ x and free of prime factors > y, II	1966	N.G. de Bruijn	1
+ PDF Chat	The supersingular isogeny path and endomorphism ring problems are equivalent	2022	Benjamin Wesolowski	1
+	On Goldbach's Conjecture for Integer Polynomials	2006	Filip Saidak	1
+	Quaternion Algebras	2021	John Voight	1
+	The Arithmetic of Elliptic Curves	2009	Joseph H. Silverman	1
+ PDF Chat	Explicit isomorphisms of quaternion algebras over quadratic global fields	2022	Tímea Csahók Péter Kutas Mickaël Montessinos Gergely Zábrádi	1
+	Number Theory for the Millennium II	2024	Bruce Berndt	1
+	On automorphisms of quaternion orders.	1990	Juliusz Brzeziński	1
+	Computation of some number-theoretic coverings	1981	R. G. Stanton Hywel C Williams	1
+	Untersuchungen in der Zahlentheorie der rationalen Quaternionenalgebren.	1936	Martin Eichler	1
+ PDF Chat	Identifying the Matrix Ring: Algorithms for Quaternion Algebras and Quadratic Forms	2013	John Voight	1