SU\G(𝔸)/K·U

Lee Troupe

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All published works
Action Title Year Authors
+ Sums of proper divisors follow the Erdős–Kac law 2022 Paul Pollack
Lee Troupe
+ Sums of proper divisors follow the Erd\H{o}s--Kac law 2021 Paul Pollack
Lee Troupe
+ Sums of proper divisors follow the Erdős--Kac law 2021 Paul Pollack
Lee Troupe
+ PDF Chat The distribution of sums and products of additive functions 2020 Greg Martin
Lee Troupe
+ PDF Chat Divisor sums representable as the sum of two squares 2020 Lee Troupe
+ Divisor sums representable as the sum of two squares 2019 Lee Troupe
+ Divisor sums representable as the sum of two squares 2019 Lee Troupe
+ PDF Chat THE DISTRIBUTION OF THE NUMBER OF SUBGROUPS OF THE MULTIPLICATIVE GROUP 2018 Greg Martin
Lee Troupe
+ The distribution of sums and products of additive functions 2018 Greg Martin
Lee Troupe
+ The distribution of sums and products of additive functions 2018 Greg S. Martin
Lee Troupe
+ The distribution of the number of subgroups of the multiplicative group 2017 Greg Martin
Lee Troupe
+ PDF Chat Orders of reductions of elliptic curves with many and few prime factors 2017 Lee Troupe
+ PDF Chat TWO PROBLEMS CONCERNING IRREDUCIBLE ELEMENTS IN RINGS OF INTEGERS OF NUMBER FIELDS 2017 Paul Pollack
Lee Troupe
+ The distribution of the number of subgroups of the multiplicative group 2017 Greg S. Martin
Lee Troupe
+ Two problems concerning irreducible elements in rings of integers of number fields 2016 Paul Pollack
Lee Troupe
+ Three applications of sieve methods in analytic number theory 2016 Lee Troupe
+ Two problems concerning irreducible elements in rings of integers of number fields 2016 Paul Pollack
Lee Troupe
+ Bounded gaps between prime polynomials with a given primitive root 2015 Lee Troupe
+ Bounded gaps between prime polynomials with a given primitive root 2015 Lee Troupe
+ On the number of prime factors of values of the sum-of-proper-divisors function 2015 Lee Troupe
+ Bounded gaps between prime polynomials with a given primitive root 2015 Lee Troupe
+ On the number of prime factors of values of the sum-of-proper-divisors function 2014 Lee Troupe
+ On the number of prime factors of values of the sum-of-proper-divisors function 2014 Lee Troupe
+ Construction and Properties of Hussain Chains for Quotients of Projective Planes 2010 Lee Troupe
Common Coauthors
Coauthor Papers Together
Paul Pollack 5
Greg Martin 4
Greg S. Martin 2
Paul Pollack 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Some arithmetic properties of the sum of proper divisors and the sum of prime divisors 2014 Paul Pollack
 7
+ The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions 1940 Péter L. Erdős
Mark Kac
 6
+ On The Number of Positive Integers ≤ x and Free of Prime Factors > y 1951 N.G. de Bruijn
 4
+ On the number of prime factors of values of the sum-of-proper-divisors function 2015 Lee Troupe
 4
+ 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.
 4
+ PDF Chat A variant of the Bombieri-Vinogradov theorem with explicit constants and applications 2014 Amir Akbary
Kyle Hambrook
 3
+ On Artin's conjecture. 1967 C. Hooley
 3
+ PDF Chat Bounded gaps between primes with a given primitive root 2014 Paul Pollack
 3
+ On the Normal Behavior of the Iterates Of some Arithmetic Functions 1990 Paul Erdős
Andew Granvilie
Carl Pomerance
Claudia Spiro
 3
+ PDF Chat On the normal number of prime factors of $\phi(n)$ 1985 Paul Erdös
Carl Pomerance
 2
+ PDF Chat On the probability that n and f(n) are relatively prime 1970 Robert E. Hall
 2
+ Le grand crible dans la théorie analytique des nombres 1974 Enrico Bombieri
 2
+ Merten's theorem for arithmetic progressions 1974 Kenneth S. Williams
 2
+ On numbers not of the form <Emphasis Type=?Italic?>n</Emphasis>-ω(<Emphasis Type=?Italic?>n</Emphasis>) 2005 Florian Luca
 2
+ On the Distribution of Additive Number-Theoretic Functions 1955 H. Halberstam
 2
+ PDF Chat Distributional properties of the largest prime factor 2005 William D. Banks
Glyn Harman
Igor E. Shparlinski
 2
+ The range of the sum-of-proper-divisors function 2015 Florian Luca
Carl Pomerance
 2
+ PDF Chat DIVISOR‐SUM FIBERS 2018 Paul Pollack
Carl Pomerance
Lola Thompson
 2
+ A Generalization of Mertens' Theorem 1999 Michael Rosen
 2
+ PDF Chat Infinite families of noncototients 2000 Achim Flammenkamp
Florian Luca
 2
+ On the number of positive integers ≤ x and free of prime factors > y, II 1966 N.G. de Bruijn
 2
+ Not always buried deep: a second course in elementary number theory 2010 Paul Pollack
 2
+ Combinatorial Number Theory and Additive Group Theory 2009 Alfred Geroldinger
Imre Z. Ruzsa
 2
+ Analytic Number Theory 2004 Henryk Iwaniec
Emmanuel Kowalski
 2
+ PDF Chat On integers not of the form n - φ (n) 1995 Jerzy Browkin
Andrzej Schinzel
 2
+ Prime analogues of the Erdős–Kac theorem for elliptic curves 2005 Yu-Ru Liu
 1
+ On the least prime in an arithmetic progression 1991 Wang Wei
 1
+ Variant of a theorem of Erdős on the sum-of-proper-divisors function 2013 Carl Pomerance
Hee-Sung Yang
 1
+ PDF Chat On the probability that n and f (n) are relatively prime II 1971 R. Hall
 1
+ ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS 1986 D. R. Heath‐Brown
 1
+ PDF Chat Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes 1923 G. H. Hardy
J. E. Littlewood
 1
+ PDF Chat Classification of small <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>-graphs 2006 Andries E. Brouwer
 1
+ On the Central Limit Theorem for the Prime Divisor Function 1969 Patrick Billingsley
 1
+ On computing the number of subgroups of a finite Abelian group 1992 Thomas Stehling
 1
+ The Large Sieve Inequality for Algebraic Number Fields Iii. Zero-Density Results 1971 M. N. Huxley
 1
+ PDF Chat On an additive arithmetic function 1977 Krishnaswami Alladi
P. Erdős
 1
+ PDF Chat Wiley Series in Probability and Mathematical Statistics 1994 Alexander Basilevsky
 1
+ PDF Chat Small gaps between primes 2014 James Maynard
 1
+ On the large sieve 1965 Enrico Bombieri
 1
+ TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE) 2012 Pete L. Clark
Brian Cook
James Stankewicz
Jim H Stankewicz
 1
+ PDF Chat Bounded gaps between primes 2014 Zhang Yitang
 1
+ PDF Chat Bounded gaps between primes in number fields and function fields 2015 Abel Castillo
Chris Hall
Robert J. Lemke Oliver
Paul Pollack
Lola Thompson
 1
+ A Titchmarsh divisor problem for elliptic curves 2015 Paul Pollack
 1
+ PDF Chat On the probability that n and f(n) are relatively prime III 1972 R. R. Hall
 1
+ PDF Chat Some problems of Erdős on the sum-of-divisors function 2016 Paul Pollack
Carl Pomerance
 1
+ PDF Chat Elementary and Analytic Theory of Algebraic Numbers 1991 Peter Shiu
Władysław Narkiewicz
 1
+ Limitations to the Equi-Distribution of Primes I 1989 John Friedlander
Andrew Granville
 1
+ On the Central Limit Theorem for the Prime Divisor Function 1969 Patrick Billingsley
 1
+ Beweis des Satzes, dass jede unbegrenzte arithmetische Progression, deren erstes Glied und Differenz ganze Zahlen ohne gemeinschaftlichen Factor sind, unendlich viele Primzahlen enthält 2012 Peter Gustav Lejeune Dirichlet
 1
+ PDF Chat Étude asymptotique de certaines partitions dans certains semi-groupes 1966 Paul Rémond
 1