Cameron Leigh Stewart

Cameron Leigh Stewart's AcademicInfluence.com Rankings

Mathematics

#2736

World Rank

#4163

Historical Rank

Algebra

#63

World Rank

#108

Historical Rank

Number Theory

#193

World Rank

#250

Historical Rank

Measure Theory

#3911

World Rank

#4611

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Cameron Leigh Stewart Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Cameron Leigh Stewart FRSC is a Canadian mathematician. He is a professor of pure mathematics at the University of Waterloo. Contributions He has made numerous contributions to number theory, in particular to work on the abc conjecture. In 1976 he obtained, with Alan Baker, an effective improvement to Liouville's Theorem. In 1991 he proved that the number of solutions to a Thue equation. This improves on an earlier result of Enrico Bombieri and Wolfgang M. Schmidt and is close to the best possible result. In 1995 he obtained, along with Jaap Top, the existence of infinitely many quadratic, cubic, and sextic twists of elliptic curves of large rank. In 1991 and 2001 respectively, he obtained, along with Kunrui Yu, the best unconditional estimates for the abc conjecture. In 2013, he solved an old problem of Erdős

(See a Problem?)

Cameron Leigh Stewart's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences. (1983) (93)
On the number of solutions of polynomial congruences and Thue equations (1991) (92)
On Ranks of Twists of Elliptic Curves and Power-Free Values of Binary Forms (1995) (86)
On the representation of an integer in two different bases. (1980) (76)
On Divisors of Fermat, Fibonacci, Lucas, and Lehmer Numbers (1977) (64)
On the Oesterlé-Masser conjecture (1986) (62)
New Advances in Transcendence Theory: S -unit equations and their applications (1988) (55)
OnS-unit equations in two unknowns (1988) (50)
On the abc conjecture, II (2001) (46)
Algebraic integers whose conjugates lie near the unit circle (1978) (42)
On divisors of sums of integers. II. (1988) (40)
On divisors of sums of integers. I (1986) (39)
Pure powers in recurrence sequences and some related diophantine equations (1987) (38)
On the number of prime factors of integers of the form ab + 1 (1996) (34)
On theabc conjecture (1991) (34)
On Infinite-Difference Sets (1979) (29)
The greatest prime factor of $a^n - b^n$ (1975) (28)
On divisors of Lucas and Lehmer numbers (2010) (27)
On Divisors of Fermat, Fibonacci, Lucas and Lehmer Numbers, II (1981) (25)
On the greatest prime factor of (ab + 1) (ac + 1) (bc + 1) (1997) (25)
On divisors of terms of linear recurrence sequences. (1982) (24)
On prime factors of sums of integers III (1986) (22)
On shifted products which are powers (2002) (20)
A refinement of the abc conjecture (2014) (19)
Exceptional units and cyclic resultants (2012) (16)
On Pseudorandomness in Families of Sequences Derived from the Legendre Symbol (2007) (16)
On multiplicatively dependent vectors of algebraic numbers (2016) (14)
ON LEGENDRE SYMBOL LATTICES (2008) (14)
On the greatest and least prime factors of $n!+1$. II. (1976) (14)
On Elements of Sumsets with Many Prime Factors (1993) (14)
Multivariate Diophantine equations with many solutions (2001) (13)
New Advances in Transcendence Theory: On effective approximations to cubic irrationals (1988) (13)
On a theorem of Kronecker and a related question of Lehmer. (1978) (12)
On the greatest prime factor of terms of a linear recurrence sequence (1985) (12)
Mineralogic Considerations for Uranium In-Situ Leach Mining: A Preliminary Study of Uranium and Associated Mineralogy of Roll-Front Uranium Deposits in Wyoming and Nebraska (1999) (12)
On the representation of integers by binary forms (2016) (11)
Some Ramanujan-Nagell equations with many solutions (1990) (11)
A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences (2017) (11)
On density-difference sets of sets of integers (1983) (10)
On the greatest prime factor of integers of the form ab + 1 (2002) (10)
Congruence properties of the $\Omega$-function on sumsets (1999) (9)
Congruence properties of the Ω-function on sumsets (1999) (9)
On powers in shifted products (2007) (9)
On Prime Factors of Terms of Linear Recurrence Sequences (2013) (8)
On the distribution of multiplicatively dependent vectors (2019) (8)
On irregularities of distribution in shifts and dilations of integer sequences. I (1987) (8)
On sets of integers whose shifted products are powers (2008) (8)
On intervals with few prime numbers (2007) (7)
On prime factors of integers which are sums or shifted products (2008) (7)
On sums which are powers (2003) (6)
On the representation of $k$-free integers by binary forms (2016) (6)
On the greatest square free factor of terms of a linear recurrence sequence (2006) (6)
Addendum to " Neighboring powers" [J. Number Theory 130 (3) (2010) 660-679] (2010) (5)
CONGRUENCES, TREES, AND P-ADIC INTEGERS (1997) (5)
Cubic Thue Equations with Many Solutions (2010) (4)
On the average value for the number of divisors of sums $a + b$ (1994) (4)
A note on the Fermat equation (1977) (4)
Multiplicatively dependent vectors with coordinates algebraic numbers (2020) (3)
Sets generated by finite sets of algebraic numbers (2018) (3)
Irregularities of sequences relative to long arithmetic progressions by A . Sárközy and (2007) (3)
On the Distribution of Small Denominators in the Farey Series of Order N (2013) (3)
Journal of Number Theory Neighboring powers (2010) (2)
THUE EQUATIONS AND ELLIPTIC CURVES (1995) (2)
On Prime Factors of Subset Sums (1994) (2)
Integer points on cubic Thue equations (2009) (2)
On heights of multiplicatively dependent algebraic numbers (2008) (2)
On a sum associated with the farey series (1976) (2)
On exponential sums over prime numbers (1989) (1)
On infinite difference sets : (preprint) (1977) (1)
Well spaced integers generated by an infinite set of primes (2014) (1)
ON LEGENDRE SYMBOL LATTICES, II (2013) (1)
Diophantine approximation and analytic number theory : a tribute to Cam Stewart May 30 th – June 4 th , 2010 MEALS * Breakfast ( Buffet ) : 7 : 00 – 9 : 30 am (2010) (0)
THE PRE-DEPOSITIONAL AGE OF ORGANIC MATTER IN FLOOD DEPOSITS: INSIGHTS TO THE TIMESCALE OF BIOGEOCHEMICAL PROCESSES (2018) (0)
Mahler's work on Diophantine equations and subsequent developments (2018) (0)
András Sárközy – a retrospective on the occasion of his sixtieth birthday (2001) (0)
Counting solvable $S$-unit equations (2020) (0)
Second thoughts on some topics from Diophantine approximation and analytic number theory (1996) (0)
LINEAR FORMS IN LOGARITHMS AND DIOPHANTINE EQUATIONS (2005) (0)
A note on the fermat equation : (preprint) (1977) (0)
On the representation of integers by binary forms (2019) (0)
OZY|A RETROSPECTIVE ON THE OCCASION OF HIS SIXTIETH BIRTHDAY (2001) (0)
ABSTRACT: Using Mineralogy to Enhance Mining and Restoration (2002) (0)
A note on large gaps between consecutive prime numbers (1985) (0)
9 S-UNIT EQUATIONS AND THEIR APPLICATIONS (2006) (0)
Further aspects of transcendence theory (2019) (0)
PALEOFLOOD RECONSTRUCTION EFFORTS ALONG THE MIDDLE TENNESSEE RIVER VALLEY, USA (2017) (0)
LATE HOLOCENE PALEOFLOODS AND GRAIN-SIZE VARIABILITY ALONG THE MIDDLE TENNESSEE RIVER IN NORTHERN ALABAMA (2018) (0)
SITE FORMATION OF THE LATE AND POTENTIALLY MIDDLE PLEISTOCENE FARRE ARCHAEOLOGICAL SITE, CHALBI BASIN, NORTHERN KENYA (2017) (0)
FLOODPLAINS AS REPOSITORIES OF INFORMATION ON CARBON ADDITION RATES IN DEPOSITIONAL SOIL PROFILES (2018) (0)
DIGITAL IMAGE ANALYSIS AS A TOOL TO EXPLORE OSL OVERDISPERSION AND SEDIMENT IN THIN SECTION (2016) (0)

This paper list is powered by the following services:

Other Resources About Cameron Leigh Stewart

en.wikipedia.org

What Schools Are Affiliated With Cameron Leigh Stewart?

Cameron Leigh Stewart is affiliated with the following schools:

Cameron Leigh Stewart's Academic­Influence.com Rankings

Why Is Cameron Leigh Stewart Influential?

Cameron Leigh Stewart's Published Works

Published Works

Other Resources About Cameron Leigh Stewart

What Schools Are Affiliated With Cameron Leigh Stewart?

Image Attributions

Cameron Leigh Stewart's AcademicInfluence.com Rankings