# Kevin Ford

#28,932

Most Influential Person Now

Mathematician

## Kevin Ford 's AcademicInfluence.com Rankings

Kevin Ford mathematics Degrees

Mathematics

#1369

World Rank

#2273

Historical Rank

Measure Theory

#3835

World Rank

#4523

Historical Rank

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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?

(Suggest an Edit or Addition)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.

## Kevin Ford 's Published Works

### 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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