Zachary Scherr

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All published works

Action	Title	Year	Authors
+ PDF Chat	Quartic Integral Polynomial Pell Equations	2024	Zachary Scherr Katherine Thompson
+	Quartic Integral Polynomial Pell Equations	2023	Zachary Scherr Katherine Thompson
+	Two variable polynomial congruences and capacity theory	2021	Ted Chinburg Brett Hemenway Nadia Heninger Zachary Scherr
+	Congruences satisfied by eta-quotients	2020	Nathan C. Ryan Zachary Scherr Nicolás Sirolli Stephanie Treneer
+	An exact algorithm for the minimum rank of a graph	2019	Boris Brimkov Zachary Scherr
+	Cryptographic applications of capacity theory: On the optimality of Coppersmith's method for univariate polynomials	2016	Ted Chinburg Brett Hemenway Nadia Heninger Zachary Scherr
+ PDF Chat	On the Number of Rich Lines in High Dimensional Real Vector Spaces	2016	Márton Hablicsek Zachary Scherr
+ PDF Chat	Cryptographic Applications of Capacity Theory: On the Optimality of Coppersmith’s Method for Univariate Polynomials	2016	Ted Chinburg Brett Hemenway Nadia Heninger Zachary Scherr
+	Cryptographic applications of capacity theory: On the optimality of Coppersmith's method for univariate polynomials.	2016	Ted Chinburg Brett Hemenway Nadia Heninger Zachary Scherr
+	Cryptographic applications of capacity theory: On the optimality of Coppersmith's method for univariate polynomials	2016	Ted Chinburg Brett Hemenway Nadia Heninger Zachary Scherr
+ PDF Chat	Uniform boundedness of<i>S</i>-units in arithmetic dynamics	2015	Holly Krieger Aaron Levin Zachary Scherr Thomas J. Tucker Yu Yasufuku Michael E. Zieve
+ PDF Chat	Some Planar Monomials in Characteristic 2	2014	Zachary Scherr Michael E. Zieve
+ PDF Chat	Abelian surfaces over finite fields with prescribed groups	2014	Chantal David Derek Garton Zachary Scherr Arul Shankar Ethan Smith Lola Thompson
+ PDF Chat	Separated Belyi maps	2014	Zachary Scherr Michael E. Zieve
+	Abelian surfaces over finite fields with prescribed groups	2013	Chantal David Derek Garton Zachary Scherr Arul Shankar Ethan Smith Lola Thompson
+	Planar monomials in characteristic 2	2013	Zachary Scherr Michael E. Zieve
+	Rational Polynomial Pell Equations.	2013	Zachary Scherr
+	Abelian surfaces over finite fields with prescribed groups	2013	Chantal David Derek Garton Zachary Scherr Arul Shankar Ethan Smith Lola Thompson
+ PDF Chat	Chebyshev Mappings of Finite Fields	2012	Julian Rosen Zachary Scherr Benjamin Weiss Michael E. Zieve

Common Coauthors

Coauthor	Papers Together
Ted Chinburg	5
Nadia Heninger	5
Brett Hemenway	5
Michael E. Zieve	5
Arul Shankar	3
Lola Thompson	3
Derek Garton	3
Chantal David	3
Katherine Thompson	2
Ethan Smith	2
Yu Yasufuku	1
Boris Brimkov	1
Stephanie Treneer	1
Holly Krieger	1
Aaron Levin	1
Nicolás Sirolli	1
Márton Hablicsek	1
Nathan C. Ryan	1
Ethan Smith	1
Benjamin Weiss	1
Julian Rosen	1
Thomas J. Tucker	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Universal Bounds on the Torsion of Elliptic Curves	1976	Daniel S. Kubert	2
+	On an extension of the definition of transfinite diameter and some applications.	1980	David G. Cantor	2
+ PDF Chat	On continued fractions and diophantine approximation in power series fields	2000	Wolfgang M. Schmidt	2
+	On the number of rational points on some families of Fermat curves over finite fields	2005	Marko Moisio	2
+ PDF Chat	Polynomial Pell’s equation	2002	William A. Webb Hisashi Yokota	2
+	Solutions of polynomial Pell's equation	2010	Hisashi Yokota	2
+	Relative difference sets and quasiregular collineation groups	1975	Michael J. Ganley Edward Spence	2
+	Capacity theory on varieties	1991	Ted Chinburg	2
+	Commutative presemifields and semifields	2007	Robert S. Coulter Marie Henderson	2
+	Multiples of Points on Elliptic Curves and Continued Fractions	1980	William W. Adams Michael J. Razar	2
+	None	1997	Robert S. Coulter Rex W. Matthews	2
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	2
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	2
+ PDF Chat	Polynomial Pell’s equations	1976	Melvyn B. Nathanson	2
+	Planes of ordern with collineation groups of ordern 2	1968	Peter F. Dembowski T. G. Ostrom	2
+	Existence of the sectional capacity	2000	Robert Rumely Chi Fong Lau Robert Varley	2
+ PDF Chat	Approximate Integer Common Divisors	2001	Nick Howgrave-Graham	2
+	Polynomial Pell's equation and periods of quadratic irrationals	2007	Hisashi Yokota	2
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	2
+	On Supersingular Abelian Varieties of Dimension Two over Finite Fields	1996	Chaoping Xing	2
+ PDF Chat	Finite morphisms to projective space and capacity theory	2014	Ted Chinburg Laurent Moret-Bailly G. Pappas M. J. Taylor	2
+ PDF Chat	Periods of quadratic irrationalities, and torsion of elliptic curves	2004	V. A. Malyshev	1
+	On the number of rich lines in truly high dimensional sets	2014	Zeev Dvir Sivakanth Gopi	1
+	Periodic Continued Fractions in Elliptic Function Fields	2002	Alfred J. van der Poorten Xuan Chuong Tran	1
+	None	2001	Rhiannon Weaver	1
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	1
+ PDF Chat	Shimura Curves for Level-3 Subgroups of the (2,3,7) Triangle Group, and Some Other Examples	2006	Noam D. Elkies	1
+	Deformation data, Belyi maps, and the local lifting problem	2008	Irene I. Bouw Stefan Wewers Leonardo Zapponi	1
+ PDF Chat	Rational preimages in families of dynamical systems	2012	Aaron Levin	1
+	The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree	1999	Charles R. Johnson António Leal Duarte	1
+	Automorphisms of Finite Abelian Groups	2007	Christopher J. Hillar Darren L. Rhea	1
+ PDF Chat	Torsion points on elliptic curves defined over quadratic fields	1988	M. A. Kenku Fumiyuki Momose	1
+ PDF Chat	Capacity Theory on Algebraic Curves	1989	Robert Rumely	1
+ PDF Chat	Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix	2002	Charles R. Johnson Carlos M. Saiago	1
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	1
+	Torsion points on elliptic curves andq-coefficients of modular forms	1992	S. Kamienny	1
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz	1
+ PDF Chat	On some problems of the arithmetical theory of continued fractions	1961	Andrzej Schinzel	1
+ PDF Chat	Graphs whose minimal rank is two	2004	Wayne Barrett Hein van der Holst Raphael Loewy	1
+	Quasi-Elliptic Integrals and Periodic Continued Fractions	2000	Alfred J. van der Poorten Xuan Chuong Tran	1
+	Table of minimum ranks of graphs of order at most 7 and selected optimal matrices	2008	Laura DeLoss Jason Grout Leslie Hogben Tracy McKay Jason Smith Geoff Tims	1
+ PDF Chat	Minimum rank with zero diagonal	2014	Cheryl Grood Johannes Harmse Leslie Hogben Thomas Hunter Bonnie Jacob Andrew J. Klimas Sharon McCathern	1
+	Orthogonal representations, minimum rank, and graph complements	2008	Leslie Hogben	1
+	Multiplicative Congruence Properties and Density Problems for <i>p(n)</i>	1968	A. O. L. Atkin	1
+	Techniques for determining the minimum rank of a small graph	2010	Laura DeLoss Jason Grout Leslie Hogben Tracy McKay Jason Smith Geoff Tims	1
+	Lower Bounds in Minimum Rank Problems	2009	Lon Mitchell Sivaram K. Narayan Andrew Zimmer	1
+	Vertex and edge spread of zero forcing number, maximum nullity, and minimum rank of a graph	2010	Christina J. Edholm Leslie Hogben My Huynh Joshua LaGrange Darren D. Row	1
+	Congruences of the Partition Function	2010	Y. Yang	1
+	On the minimum rank of the join of graphs and decomposable graphs	2006	Francesco Barioli Shaun Fallat	1
+	Program for calculating bounds on the minimum rank of a graph using Sage	2008	Laura DeLoss Jason Grout Tracy McKay Jason Smith Geoff Tims	1