Carrie E. Finch

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All published works

Action	Title	Year	Authors
+	Perfect power Riesel numbers	2015	Carrie E. Finch Lenny Jones
+	Polygonal, Sierpinski, and Riesel numbers	2015	Daniel Baczkowski Justin Eitner Carrie E. Finch Braedon Suminski Mark Kozek
+	Sierpiński and Carmichael numbers	2014	William D. Banks Carrie E. Finch Florian Luca Carl Pomerance Pantelimon Stănică
+ PDF Chat	On classifying Laguerre polynomials which have Galois group the alternating group	2013	Pradipto Banerjee Michael Filaseta Carrie E. Finch J. Russell Leidy
+	Nonlinear Sierpiński and Riesel numbers	2012	Carrie E. Finch Joshua Harrington Lenny Jones
+ PDF Chat	Sequences of $\{0,1\}$-polynomials with exponents in arithmetic progression	2012	Carrie E. Finch
+	Lucas-Sierpiński and Lucas-Riesel Numbers	2011	Daniel M. Baczkowski Olaolu Fasoranti Carrie E. Finch
+ PDF Chat	On the irreducibility of certain polynomials with coefficients as products of terms in an arithmetic progression	2010	Carrie E. Finch N. Saradha
+	On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture	2008	Michael Filaseta Carrie E. Finch Mark Kozek
+ PDF Chat	On the Irreducibility of {-1,0,1}-Quadrinomials	2006	Carrie E. Finch Lenny Jones
+ PDF Chat	On three questions concerning {0,1}-polynomials	2006	Michael Filaseta Carrie E. Finch Charles Nicol
+	ON THE IRREDUCIBILITY OF {! 1,0,1}-QUADRINOMIALS	2006	Carrie E. Finch Lenny Jones
+	A Curious Connection Between Fermat Numbers and Finite Groups	2002	Carrie E. Finch Lenny Jones
+	Finite Groups That Have Exactly <i>n</i> Elements of Order <i>n</i>	2002	Carrie E. Finch Richard Foote Lenny Jones Donald Spickler
+	Finite Groups That Have Exactly n Elements of Order n	2002	Carrie E. Finch Richard Foote Lenny Jones Donald Spickler
+	A Curious Connection between Fermat Numbers and Finite Groups	2002	Carrie E. Finch Lenny Jones

Common Coauthors

Coauthor	Papers Together
Lenny Jones	8
Michael Filaseta	3
Richard Foote	2
Daniel Baczkowski	2
Mark Kozek	2
Donald Spickler	2
William D. Banks	1
Charles Nicol	1
Braedon Suminski	1
Justin Eitner	1
Carl Pomerance	1
Pradipto Banerjee	1
Olaolu Fasoranti	1
J. Russell Leidy	1
Florian Luca	1
N. Saradha	1
Joshua Harrington	1
Pantelimon Stănică	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On integers of the forms kr−2n and kr2n+1	2003	Yong-Gao Chen	4
+	Sur un problème concernant les nombres.	1960	W. Sierpiński	4
+	Number Theory 1: Fermat's Dream	2000	Kazuya Kato Nobushige Kurokawa Takeshi Saito	3
+ PDF Chat	On the Irreducibility of Certain Trinomials and Quadrinomials.	1960	W. Ljunggren	3
+	On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture	2008	Michael Filaseta Carrie E. Finch Mark Kozek	2
+	Nonlinear Sierpiński and Riesel numbers	2012	Carrie E. Finch Joshua Harrington Lenny Jones	2
+ PDF Chat	Generalizations of some irreducibility results by Schur	2010	T. N. Shorey R. Tijdeman	2
+	Number Theory for the Millennium I	2002	Michael A. Bennett	2
+ 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	2
+	On the factorization of polynomials with small Euclidean norm	1999	Michael Filaseta	2
+ PDF Chat	On an irreducibility theorem of A. Schinzel associated with coverings of the integers	2000	Michael Filaseta Kevin Ford Sergeĭ Konyagin	2
+	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	2
+	Number of prime divisors in a product of terms of an arithmetic progression	2004	Shanta Laishram T. N. Shorey	1
+	On a certain family of generalized Laguerre polynomials	2004	Elizabeth Sell	1
+ PDF Chat	On the irreducibility of a certain class of Laguerre polynomials	2003	Michael Filaseta Richard L. Williams	1
+	A Mordell-Lang plus Bogomolov type result for curves in $${\mathbb{G}_{m}^{2}}$$	2008	Corentin Pontreau	1
+	An upper bound for the G.C.D. of a n - 1 and b n -1	2003	Yann Bugeaud Pietro Corvaja Umberto Zannier	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	The irreducibility of all but finitely many Bessel Polynomials	1995	Michael Filaseta	1
+ PDF Chat	Not every number is the sum or difference of two prime powers	1975	Fred Cohen J. L. Selfridge	1
+	Calculations for Bertrand's Postulate	1981	Heiko Harborth Arnfried Kemnitz	1
+ PDF Chat	Algebraic Properties of a Family of Generalized Laguerre Polynomials	2009	Farshid Hajir	1
+ PDF Chat	On the distribution of pseudoprimes	1981	Carl Pomerance	1
+	The Impossibility of Certain Types of Carmichael Numbers	2012	Thomas Wright	1
+ PDF Chat	On the factorization of consecutive integers	2009	Michael A. Bennett Michael Filaseta Ognian Trifonov	1
+	Laguerre polynomials with Galois group<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>A</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:math>for each m	2012	Michael Filaseta Travis Kidd Ognian Trifonov	1
+ PDF Chat	PERIODICITY IN SEQUENCES DEFINED BY LINEAR RECURRENCE RELATIONS	1930	H. T. Engstrom	1
+	A quantitative lower bound for the greatest prime factor of (ab+1)(bc+1)(ca+1)	2004	Yann Bugeaud Florian Luca	1
+	POLYNOMIAL VARIATIONS ON A THEME OF SIERPIŃSKI	2009	Lenny Jones	1
+ PDF Chat	Almost perfect powers in arithmetic progression	2001	N. Saradha T. N. Shorey	1
+	On a Theorem of Hardy and Ramanujan	1934	P. Túrán	1
+ PDF Chat	Linear Equations in Variables which Lie in a Multiplicative Group	2002	Jan‐Hendrik Evertse Hans Peter Schlickewei Winfried Schmidt	1
+	SOLVING n(n + d) ⋯ (n + (k - 1)d) = by<sup>2</sup>WITH P(b) ≤ Ck	2011	Michael Filaseta Shanta Laishram N. Saradha	1
+	Perfect power Riesel numbers	2015	Carrie E. Finch Lenny Jones	1
+	The irreducibility of the Bessel polynomials	2002	Michael Filaseta Ognian Trifonov	1
+ PDF Chat	Note on a new number theory function	1910	R. D. Carmichael	1
+ PDF Chat	On the irreducibility of 0,1-polynomials of the form f(x) x<sup>n</sup>+ g(x)	2004	Michael Filaseta Manton M. Matthews	1
+ PDF Chat	Carmichael Numbers with a Square Totient	2009	William D. Banks	1
+ PDF Chat	On the irreducibility of the generalized Laguerre polynomials	2002	Michael Filaseta T. Y. Lam	1
+	Carmichael numbers with a totient of the form a 2 + nb 2	2011	William D. Banks	1
+	On integers of the form 𝑘2ⁿ+1	2000	Yong-Gao Chen	1
+ PDF Chat	Infinitely many Carmichael numbers in arithmetic progressions	2013	Thomas Wright	1
+	Some generalized Laguerre polynomials whose Galois groups are the alternating groups	1989	Rod Gow	1
+	An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers	1998	E M Matveev	1
+	Some Ãn-Extensions Obtained from Generalized Laguerre Polynomials	1995	Farshid Hajir	1
+ PDF Chat	On the Galois group of generalized Laguerre polynomials	2005	Farshid Hajir	1
+ PDF Chat	A Lower Bound for the Height of a Rational Function at S-unit Points	2004	Pietro Corvaja Umberto Zannier	1
+ PDF Chat	On the prime factorization of binomial coefficients	1978	Earl F. Ecklund Roger B. Eggleton Paul Erdős J. L. Selfridge	1
+ PDF Chat	Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers	2006	Yann Bugeaud Maurice Mignotte Samir Siksek	1
+ PDF Chat	CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS	2013	Kaisa Matomäki	1