Kevin Ford | Academic Influence

Kevin Ford 's AcademicInfluence.com Rankings

Kevin Ford

Mathematics

#1369

World Rank

#2273

Historical Rank

Measure Theory

#3835

World Rank

#4523

Historical Rank

mathematics Degrees

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Mathematics

Kevin Ford 's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Why Is Kevin Ford Influential?

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According to Wikipedia, Kevin B. Ford is an American mathematician working in analytic number theory. Education and career He has been a professor in the department of mathematics of the University of Illinois at Urbana-Champaign since 2001. Prior to this appointment, he was a faculty member at the University of South Carolina.

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Kevin Ford '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

Explicit constructions of RIP matrices and related problems (2010) (226)
The distribution of integers with a divisor in a given interval (2004) (183)
Vinogradov's Integral and Bounds for the Riemann Zeta Function (2002) (141)
The Distribution of Totients (1998) (83)
Long gaps between primes (2014) (69)
The Number of Solutions of φ (x) = m (1999) (67)
Zero-free regions for the Riemann zeta function (2019) (67)
Sums and Products from a Finite Set of Real Numbers (1998) (62)
Large gaps between consecutive prime numbers (2014) (57)
New estimates for mean values of Weyl sums (1995) (49)
On the Divisibility of Fermat Quotients (2010) (48)
On the distribution of imaginary parts of zeros of the Riemann zeta function, II (2004) (47)
On an irreducibility theorem of A. Schinzel associated with coverings of the integers (2000) (40)
Sieving by large integers and covering systems of congruences (2005) (39)
INTEGERS WITH A DIVISOR IN (y; 2y) (2006) (38)
Values of the Euler Φ-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields (2011) (29)
Breaking the k2 barrier for explicit RIP matrices (2011) (28)
Prime Chains and Pratt Trees (2009) (27)
On the maximal difference between an element and its inverse in residue rings (2005) (27)
On Bombieri’s asymptotic sieve (2004) (27)
THE PRIME NUMBER RACE AND ZEROS OF L-FUNCTIONS OFF THE CRITICAL LINE (2002) (23)
On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing (2013) (22)
Permutations fixing a k-set (2015) (22)
Invariable generation of the symmetric group (2015) (22)
Common values of the arithmetic functions ϕ and σ (2009) (22)
Zeros of Dirichlet L-functions near the Real Axis and Chebyshev's Bias (2001) (21)
The number of solutions of . (1999) (20)
Chebyshev's conjecture and the prime number race (2019) (20)
Generalized Euler constants (2007) (20)
Large gaps between primes (2019) (18)
The Representation of Numbers as Sums of Unlike Powers (1995) (17)
Chebyshev's Bias for Products of Two Primes (2009) (16)
On the largest prime factor of the mersenne numbers (2007) (15)
The Brun–Hooley Sieve☆ (2000) (14)
Diophantine approximation with arithmetic functions, I (2008) (13)
THE NORMAL BEHAVIOR OF THE SMARANDACHE FUNCTION (2001) (13)
The representation of numbers as sums of unlike powers. II (1996) (12)
Residue classes free of values of Euler's function (2020) (12)
THE PRIME NUMBER RACE AND ZEROS OF DIRICHLET L-FUNCTIONS OFF THE CRITICAL LINE: PART III (2012) (12)
Values of the Euler Function in Various Sequences (2005) (12)
Poisson-Dirichlet branching random walks (2010) (12)
Permutations contained in transitive subgroups (2016) (10)
Sharp probability estimates for generalized Smirnov statistics (2006) (10)
Large prime gaps and probabilistic models (2019) (10)
An explicit sieve bound and small values of σ(ф(m)) (2002) (9)
On two conjectures of Sierpiski concerning the arithmetic functions $ and $ (1999) (9)
On common values of φ(n) and σ(m). I (2011) (9)
Generalized Smirnov statistics and the distribution of prime factors (2007) (8)
Recent progress on the estimation of Weyl sums (2002) (8)
The image of Carmichael’s λ-function (2014) (8)
Unnormalized differences between zeros of L-functions (2013) (8)
ON GROUPS WITH PERFECT ORDER SUBSETS (2012) (7)
Waring's Problem with Polynomial Summands (2000) (7)
From Kolmogorov’s theorem on empirical distribution to number theory (2007) (7)
Geometric properties of points on modular hyperbolas (2010) (6)
The jumping champions of the Farey series (2003) (6)
Large gaps between consecutive prime numbers containing perfect powers (2014) (6)
Extreme biases in prime number races with many contestants (2017) (6)
ON CURVES OVER FINITE FIELDS WITH JACOBIANS OF SMALL EXPONENT (2006) (6)
Simple proof of Gallagher's singular series sum estimate (2011) (6)
Large prime gaps and progressions with few primes (2019) (5)
On common values of $\phi(n)$ and $\sigma(m)$, II (2010) (5)
Sharp probability estimates for random walks with barriers (2006) (5)
Cycle type of random permutations: A toolkit (2021) (5)
Maximal Collections of Intersecting Arithmetic Progressions (2003) (5)
A Problem of Ramanujan, Erdős, and Kátai on the Iterated Divisor Function (2011) (4)
Anatomy of Integers and Random Permutations Course Lecture Notes (2017) (4)
Chains of large gaps between primes (2015) (4)
Joint Poisson distribution of prime factors in sets (2020) (4)
Diophantine approximation with arithmetic functions, II (2009) (4)
Extremal Properties of Product Sets (2018) (4)
Sieving by very thin sets of primes, and Pratt trees with missing primes (2012) (4)
Marco's repulsion phenomenon between zeros of L-functions (2013) (4)
Long gaps in sieved sets (2018) (3)
Dimensional lower bounds for Falconer type incidence theorems (2016) (3)
Addendum and corrigendum to “The representation of numbers as sums of unlike powers. II” (1999) (3)
Equal sums in random sets and the concentration of divisors (2019) (3)
Some infinite series identities (1993) (3)
The number of solutions of φ ( x ) (2000) (3)
The number of solutions of φ ( x ) (2000) (3)
THE DISTRIBUTION OF INTEGERS WITH AT LEAST TWO DIVISORS IN A SHORT INTERVAL (2006) (3)
Divisors of the Euler and Carmichael functions (2007) (3)
The Number of Solutions of λ(x) = n (2011) (2)
Simultaneous distribution of the fractional parts of Riemann zeta zeros (2015) (2)
N T ] 2 0 O ct 2 01 9 THE PRIME NUMBER RACE AND ZEROS OF L-FUNCTIONS OFF THE CRITICAL LINE , II (2019) (2)
Integers divisible by a large shifted prime (2016) (2)
A Strong Form of a Problem of R. L. Graham (2004) (2)
Localized large sums of random variables (2006) (2)
The number of solutions of phi(x)=m (1999) (2)
On the smallest simultaneous power nonresidue modulo a prime (2015) (1)
On the Parity of the Number of Small Divisors of n (2015) (1)
Problems and Solutions: Problems: 10382-10388 (1994) (1)
ROUGH INTEGERS WITH A DIVISOR IN A GIVEN INTERVAL (2019) (1)
Solutions of ϕ (n) = ϕ (n + k) and σ (n) = σ (n + k) (2020) (1)
On square values of the product of the Euler totient and sum of divisors functions (2013) (1)
Solutions of $\phi(n)=\phi(n+k)$ and $\sigma(n)=\sigma(n+k)$ (2020) (1)
On two conjectures of Sierpiński concerning the arithmetic functions $\sigma$ and $\phi$ (2019) (1)
Sets whose differences avoid squares modulo $m$ (2020) (1)
The number of solutions of q (x) = m (1999) (0)
THE DISTRIBUTION OF DIVISORS OF POLYNOMIALS (2019) (0)
Philosophical Society 1 Generalized Euler constants (2007) (0)
Problems and Solutions: Solutions: A Divisibility Property of Primes: 10544 (1998) (0)
Lecture 1: How to count numbers wit a divisor in a given interval: main ideas Lecture 2: Fat subset sums, clump detection and avoidance (2006) (0)
A ug 2 01 6 INVARIABLE GENERATION OF THE SYMMETRIC GROUP (2016) (0)
Extreme biases in prime number races with many contestants (2019) (0)
Corrigendum: Long gaps in sieved sets (2023) (0)
Correction to: A Hardy–Ramanujan-type inequality for shifted primes and sifted sets (2021) (0)
Breaking the k 2 Barrier for Explicit RIP Matrices (Extended Abstract) (2011) (0)
Explicit RIP matrices: an update (2021) (0)
Divisibility of the central binomial coefficient $\binom {2n}{n}$ (2019) (0)
A Hardy–Ramanujan-type inequality for shifted primes and sifted sets (2021) (0)
SIEVE METHODS LECTURE NOTES SELBERG’S UPPER BOUND SIEVE (2015) (0)
The number of solutions of lambda(x)=n (2010) (0)
Generalized Euler Constants 3 (2008) (0)
INTEGERS WITH A DIVISOR IN (2006) (0)
Gaps between totients (2020) (0)
Extremal Properties of Product Sets (2018) (0)
Sign changes in $\pi _{q,a}(x)-\pi_{q,b}(x)$ (2001) (0)
PR ] 1 6 A ug 2 00 6 Localized large sums of random variables (2006) (0)
Correction to: A Hardy–Ramanujan-type inequality for shifted primes and sifted sets (2021) (0)
SIEVE METHODS LECTURE NOTES, PART I THE BRUN-HOOLEY SIEVE (2015) (0)
On non-intersecting arithmetic progressions (2013) (0)

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