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+
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Long strings of consecutive composite values of polynomials
|
2024
|
Kevin Ford
Mikhail R. Gabdullin
|
|
+
PDF
Chat
|
Poisson Approximation of prime divisors of shifted primes
|
2024
|
Kevin Ford
|
|
+
PDF
Chat
|
On the theory of prime producing sieves
|
2024
|
Kevin Ford
James E. Maynard
|
|
+
|
Zero-free Regions for the Riemann Zeta Function
|
2024
|
Kevin Ford
|
|
+
PDF
|
A lower bound on the mean value of the Erdős–Hooley Delta function
|
2024
|
Kevin Ford
Dimitris Koukoulopoulos
Terence Tao
|
|
+
PDF
|
Large prime gaps and probabilistic models
|
2023
|
William D. Banks
Kevin Ford
Terence Tao
|
|
+
PDF
|
Equal sums in random sets and the concentration of divisors
|
2023
|
Kevin Ford
Ben Green
Dimitris Koukoulopoulos
|
|
+
|
Long strings of consecutive composite values of polynomials
|
2023
|
Kevin Ford
Mikhail R. Gabdullin
|
|
+
PDF
Chat
|
Explicit RIP matrices: an update
|
2022
|
Kevin Ford
D. Kutzarova
George Shakan
|
|
+
PDF
|
Cycle type of random permutations: A toolkit
|
2022
|
Kevin Ford
|
|
+
PDF
|
Correction to: A Hardy–Ramanujan-type inequality for shifted primes and sifted sets
|
2021
|
Kevin Ford
|
|
+
PDF
Chat
|
A Hardy–Ramanujan-type inequality for shifted primes and sifted sets
|
2021
|
Kevin Ford
|
|
+
PDF
Chat
|
Joint Poisson distribution of prime factors in sets
|
2021
|
Kevin Ford
|
|
+
|
Cycle type of random permutations: A toolkit
|
2021
|
Kevin Ford
|
|
+
|
Sets whose differences avoid squares modulo 𝑚
|
2021
|
Kevin Ford
Mikhail R. Gabdullin
|
|
+
|
A Hardy-Ramanujan type inequality for shifted primes and sifted sets
|
2021
|
Kevin Ford
|
|
+
PDF
Chat
|
Long gaps in sieved sets
|
2020
|
Kevin Ford
Sergey Konyagin
James Maynard
Carl Pomerance
Terence Tao
|
|
+
PDF
|
Solutions of<b>ϕ</b>(n) =<b>ϕ</b>(n + k) and<b>σ</b>(n) =<b>σ</b>(n + k)
|
2020
|
Kevin Ford
|
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+
|
Gaps between totients
|
2020
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
|
Sets whose differences avoid squares modulo m
|
2020
|
Kevin Ford
Mikhail R. Gabdullin
|
|
+
|
Joint Poisson distribution of prime factors in sets
|
2020
|
Kevin Ford
|
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+
|
Divisibility of the central binomial coefficient $\binom {2n}{n}$
|
2020
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
PDF
Chat
|
THE DISTRIBUTION OF DIVISORS OF POLYNOMIALS
|
2020
|
Kevin Ford
Guoyou Qian
|
|
+
|
Solutions of $\phi(n)=\phi(n+k)$ and $\sigma(n)=\sigma(n+k)$
|
2020
|
Kevin Ford
|
|
+
PDF
Chat
|
ROUGH INTEGERS WITH A DIVISOR IN A GIVEN INTERVAL
|
2020
|
Kevin Ford
|
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+
|
Vinogradov's integral and bounds for the Riemann zeta function.
|
2019
|
Kevin Ford
|
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+
|
On two conjectures of Sierpi\'nski concerning the arithmetic functions $\sigma$ and $\phi$
|
2019
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
|
On two conjectures of Sierpiński concerning the arithmetic functions $\sigma$ and $\phi$
|
2019
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
PDF
Chat
|
Dimensional lower bounds for Falconer type incidence theorems
|
2019
|
Jonathan DeWitt
Kevin Ford
Eli Goldstein
Steven J. Miller
Gwyneth Moreland
Eyvindur A. Palsson
Steven Senger
|
|
+
|
Divisibility of the central binomial coefficient $\binom{2n}{n}$
|
2019
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
|
Large prime gaps and progressions with few primes
|
2019
|
Kevin Ford
|
|
+
PDF
|
Extreme biases in prime number races with many contestants
|
2019
|
Kevin Ford
Adam J. Harper
Youness Lamzouri
|
|
+
|
Rough integers with a divisor in a given interval
|
2019
|
Kevin Ford
|
|
+
|
Chebyshev's conjecture and the prime number race
|
2019
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
|
Large prime gaps and probabilistic models
|
2019
|
William D. Banks
Kevin Ford
Terence Tao
|
|
+
|
The distribution of divisors of polynomials
|
2019
|
Kevin Ford
Guoyou Qian
|
|
+
|
The prime number race and zeros of Dirichlet L-functions off the critical line, II
|
2019
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
|
The prime number race and zeros of Dirichlet L-functions off the critical line
|
2019
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
PDF
|
Extremal Properties of Product Sets
|
2018
|
Kevin Ford
|
|
+
|
Extremal properties of product sets
|
2018
|
Kevin Ford
|
|
+
|
Chains of Large Gaps Between Primes
|
2018
|
Kevin Ford
James Maynard
Terence Tao
|
|
+
|
Extreme biases in prime number races with many contestants
|
2017
|
Kevin Ford
Adam J. Harper
Youness Lamzouri
|
|
+
PDF
Chat
|
Invariable generation of the symmetric group
|
2017
|
Sean Eberhard
Kevin Ford
Ben Green
|
|
+
|
Long gaps between primes
|
2017
|
Kevin Ford
Ben Green
Sergeĭ Konyagin
James Maynard
Terence Tao
|
|
+
PDF
Chat
|
Integers divisible by a large shifted prime
|
2017
|
Kevin Ford
|
|
+
PDF
|
Simultaneous distribution of the fractional parts of Riemann zeta zeros
|
2016
|
Kevin Ford
Xianchang Meng
Alexandru Zaharescu
|
|
+
PDF
Chat
|
On the smallest simultaneous power nonresidue modulo a prime
|
2016
|
Kevin Ford
Moubariz Z. Garaev
Sergeĭ Konyagin
|
|
+
PDF
Chat
|
Large gaps between consecutive prime numbers
|
2016
|
Kevin Ford
Ben Green
Sergeĭ Konyagin
Terence Tao
|
|
+
|
Integers divisible by a large shifted prime
|
2016
|
Kevin Ford
|
|
+
PDF
Chat
|
Permutations Fixing a<i>k</i>-set
|
2015
|
Sean Eberhard
Kevin Ford
Ben Green
|
|
+
|
On the smallest simultaneous power nonresidue modulo a prime
|
2015
|
Kevin Ford
Moubariz Z. Garaev
Sergeĭ Konyagin
|
|
+
|
Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers
|
2015
|
Kevin Ford
D. R. Heath‐Brown
Sergeĭ Konyagin
|
|
+
|
On the Parity of the Number of Small Divisors of n
|
2015
|
Kevin Ford
Florian Luca
Carl Pomerance
Jeffrey Shallit
|
|
+
PDF
|
The image of Carmichael’s<i>λ</i>-function
|
2014
|
Kevin Ford
Florian Luca
Carl Pomerance
|
|
+
PDF
|
Unnormalized differences between zeros of<i>L</i>-functions
|
2014
|
Kevin Ford
Alexandru Zaharescu
|
|
+
|
Long gaps between primes
|
2014
|
Kevin Ford
Ben Green
Sergeĭ Konyagin
James Maynard
Terence Tao
|
|
+
PDF
|
On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing
|
2014
|
Kevin Ford
Trevor D. Wooley
|
|
+
|
Large gaps between consecutive prime numbers
|
2014
|
Kevin Ford
Ben Green
Sergeĭ Konyagin
Terence Tao
|
|
+
|
Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields
|
2013
|
Kevin Ford
Florian Luca
Pieter Moree
|
|
+
|
Marco's repulsion phenomenon between zeros of L-functions
|
2013
|
Kevin Ford
Alexandru Zaharescu
|
|
+
|
On Vinogradov's mean value theorem: strongly diagonal behaviour via efficient congruencing
|
2013
|
Kevin Ford
Trevor D. Wooley
|
|
+
PDF
|
Sieving Very Thin Sets of Primes, and Pratt Trees with Missing Primes
|
2013
|
Kevin Ford
|
|
+
PDF
|
On square values of the product of the Euler totient and sum of divisors functions
|
2013
|
Kevin Broughan
Kevin Ford
Florian Luca
|
|
+
PDF
|
On non-intersecting arithmetic progressions
|
2013
|
Régis de la Bretèche
Kevin Ford
Joseph Vandehey
|
|
+
PDF
|
On common values of<i>ϕ</i>(<i>n</i>) and<i>σ</i>(<i>m</i>), II
|
2012
|
Kevin Ford
Paul Pollack
|
|
+
|
Sieving by very thin sets of primes, and Pratt trees with missing primes
|
2012
|
Kevin Ford
|
|
+
|
THE PRIME NUMBER RACE AND ZEROS OF DIRICHLET L-FUNCTIONS OFF THE CRITICAL LINE: PART III
|
2012
|
Kevin Ford
Youness Lamzouri
Sergeĭ Konyagin
|
|
+
|
ON GROUPS WITH PERFECT ORDER SUBSETS
|
2012
|
Kevin Ford
Sergeĭ Konyagin
Florian Luca
|
|
+
|
The prime number race and zeros of Dirichlet $L$-functions off the critical line. III
|
2012
|
Kevin Ford
Sergeĭ Konyagin
Youness Lamzouri
|
|
+
PDF
|
A Problem of Ramanujan, Erdős, and Kátai on the Iterated Divisor Function
|
2011
|
Yvonne Buttkewitz
Christian Elsholtz
Kevin Ford
Jan-Christoph Schlage-Puchta
|
|
+
|
Simple proof of Gallagher's singular series sum estimate
|
2011
|
Kevin Ford
|
|
+
|
Values of the Euler phi-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields
|
2011
|
Kevin Ford
Florian Luca
Pieter Moree
|
|
+
|
A problem of Ramanujan, Erdos and Katai on the iterated divisor function
|
2011
|
Yvonne Buttkewitz
Christian Elsholtz
Kevin Ford
Jan‐Christoph Schlage‐Puchta
|
|
+
PDF
Chat
|
Explicit constructions of RIP matrices and related problems
|
2011
|
Jean Bourgain
S. J. Dilworth
Kevin Ford
Sergeĭ Konyagin
Denka Kutzarova
|
|
+
|
Breaking the k <sup>2</sup> barrier for explicit RIP matrices
|
2011
|
Jean Bourgain
S. J. Dilworth
Kevin Ford
Sergeĭ Konyagin
Denka Kutzarova
|
|
+
|
The distribution of totients
|
2011
|
Kevin Ford
|
|
+
|
On common values of φ(n) and σ(m). I
|
2011
|
Kevin Ford
Paul Pollack
|
|
+
|
The Number of Solutions of λ(x) = n
|
2011
|
Kevin Ford
Florian Luca
|
|
+
|
Breaking the k 2 Barrier for Explicit RIP Matrices (Extended Abstract)
|
2011
|
Jean Bourgain
S. J. Dilworth
Kevin Ford
Sergeĭ Konyagin
Denka Kutzarova
|
|
+
|
On common values of $\phi(n)$ and $\sigma(m)$, II
|
2010
|
Kevin Ford
Paul Pollack
|
|
+
PDF
|
Prime Chains and Pratt Trees
|
2010
|
Kevin Ford
Sergeĭ Konyagin
Florian Luca
|
|
+
|
On the divisibility of Fermat quotients
|
2010
|
Jean Bourgain
Kevin Ford
Sergeĭ Konyagin
Igor E. Shparlinski
|
|
+
PDF
Chat
|
Common values of the arithmetic functions <i>ϕ</i> and <i>σ</i>
|
2010
|
Kevin Ford
Florian Luca
Carl Pomerance
|
|
+
|
The number of solutions of lambda(x)=n
|
2010
|
Kevin Ford
Florian Luca
|
|
+
PDF
|
Chebyshev's Bias for Products of Two Primes
|
2010
|
Kevin Ford
Jason Sneed
|
|
+
|
On common values of $ϕ(n)$ and $σ(m)$, II
|
2010
|
Kevin Ford
Paul Pollack
|
|
+
|
On common values of phi(n) and sigma(n), I
|
2010
|
Kevin Ford
Paul Pollack
|
|
+
|
Chebyshev's bias for products of two primes
|
2009
|
Kevin Ford
Jason Sneed
|
|
+
PDF
|
Diophantine approximation with arithmetic functions, II
|
2009
|
Emre Alkan
Kevin Ford
Alexandru Zaharescu
|
|
+
PDF
|
ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS
|
2009
|
Kevin Ford
Florian Luca
Igor E. Shparlinski
|
|
+
|
Prime chains and Pratt trees
|
2009
|
Kevin Ford
Sergeĭ Konyagin
Florian Luca
|
|
+
|
Diophantine approximation with arithmetic functions, I
|
2008
|
Emre Alkan
Kevin Ford
Alexandru Zaharescu
|
|
+
PDF
Chat
|
ON CURVES OVER FINITE FIELDS WITH JACOBIANS OF SMALL EXPONENT
|
2008
|
Kevin Ford
Igor E. Shparlinski
|
|
+
PDF
Chat
|
On the distribution of imaginary parts of zeros of the Riemann zeta function, II
|
2008
|
Kevin Ford
K. Soundararajan
Alexandru Zaharescu
|
|
+
PDF
|
The distribution of integers with a divisor in a given interval
|
2008
|
Kevin Ford
|
|
+
PDF
|
Sharp probability estimates for random walks with barriers
|
2008
|
Kevin Ford
|
|
+
|
Integers with a divisor in (𝑦,2𝑦]
|
2008
|
Kevin Ford
|
|
+
PDF
Chat
|
Generalized Euler constants
|
2008
|
Harold G. Diamond
Kevin Ford
|
|
+
PDF
Chat
|
Sharp probability estimates for generalized Smirnov statistics
|
2008
|
Kevin Ford
|
|
+
PDF
|
Divisors of the Euler and Carmichael functions
|
2008
|
Kevin Ford
Yong Hu
|
|
+
|
On the distribution of imaginary parts of zeros of the Riemann zeta function, II
|
2008
|
Kevin Ford
K. Soundararajan
Alexandru Zaharescu
|
|
+
|
Diophantine approximation with arithmetic functions, I
|
2008
|
Emre Alkan
Kevin Ford
Alexandru Zaharescu
|
|
+
|
From Kolmogorov’s theorem on empirical distribution to number theory
|
2007
|
Kevin Ford
|
|
+
PDF
|
Localized large sums of random variables
|
2007
|
Kevin Ford
Gérald Tenenbaum
|
|
+
PDF
|
THE DISTRIBUTION OF INTEGERS WITH AT LEAST TWO DIVISORS IN A SHORT INTERVAL
|
2007
|
Kevin Ford
Gérald Tenenbaum
|
|
+
PDF
|
Generalized Smirnov statistics and the distribution of prime factors
|
2007
|
Kevin Ford
|
|
+
|
On the largest prime factor of the Mersenne numbers
|
2007
|
Kevin Ford
Florian Luca
Igor E. Shparlinski
|
|
+
|
Generalized Smirnov statistics and the distribution of prime factors
|
2007
|
Kevin Ford
|
|
+
|
Sharp probability estimates for random walks with barriers
|
2006
|
Kevin Ford
|
|
+
|
Sieving by large integers and covering systems of congruences
|
2006
|
Michael Filaseta
Kevin Ford
Sergeĭ Konyagin
Carl Pomerance
Gang Yu
|
|
+
|
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
|
Kevin Ford
|
|
+
|
Localized large sums of random variables
|
2006
|
Kevin Ford
Gérald Tenenbaum
|
|
+
|
Sharp probability estimates for generalized Smirnov statistics
|
2006
|
Kevin Ford
|
|
+
|
On curves over finite fields with Jacobians of small exponent
|
2006
|
Kevin Ford
Igor E. Shparlinski
|
|
+
|
On the maximal difference between an element and its inverse in residue rings
|
2005
|
Kevin Ford
Mizan R. Khan
Igor E. Shparlinski
Christian L. Yankov
|
|
+
PDF
|
Values of the Euler Function in Various Sequences
|
2005
|
William D. Banks
Kevin Ford
Florian Luca
Francesco Pappalardi
Igor E. Shparlinski
|
|
+
PDF
|
On the distribution of imaginary parts of zeros of the Riemann zeta function
|
2005
|
Kevin Ford
Alexandru Zaharescu
|
|
+
|
Sieving by large integers and covering systems of congruences
|
2005
|
Michael Filaseta
Kevin Ford
Sergeĭ Konyagin
Carl Pomerance
Gang Yu
|
|
+
PDF
|
On Bombieri’s asymptotic sieve
|
2004
|
Kevin Ford
|
|
+
|
Branching Fractions and CP Asymmetries in B[superscript 0]→K[superscript +]K[superscript -]K[subscript S][superscript 0] and B[superscript +]→K[superscript +]K[subscript S][superscript 0]K[subscript S][superscript 0]
|
2004
|
Bernard Aubert
R. Barate
D. Boutigny
F. Couderc
J.-M. Gaillard
A. Hicheur
Y. Karyotakis
J. P. Lees
V. Tisserand
A. Zghiche
|
|
+
PDF
|
A Strong Form of a Problem of R. L. Graham
|
2004
|
Kevin Ford
|
|
+
|
The distribution of integers with a divisor in a given interval
|
2004
|
Kevin Ford
|
|
+
|
On Bombieri's asymptotic sieve
|
2004
|
Kevin Ford
|
|
+
|
On the distribution of imaginary parts of zeros of the Riemann zeta function
|
2004
|
Kevin Ford
Alexandru Zaharescu
|
|
+
|
Maximal Collections of Intersecting Arithmetic Progressions
|
2003
|
Kevin Ford
|
|
+
PDF
|
The jumping champions of the Farey series
|
2003
|
Cristian Cobeli
Kevin Ford
Alexandru Zaharescu
|
|
+
PDF
Chat
|
VINOGRADOV'S INTEGRAL AND BOUNDS FOR THE RIEMANN ZETA FUNCTION
|
2002
|
Kevin Ford
|
|
+
|
The prime number race and zeros of L-functions off the critical line
|
2002
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
|
None
|
2002
|
Kevin Ford
|
|
+
|
THE NORMAL BEHAVIOR OF THE SMARANDACHE FUNCTION
|
2001
|
Kevin Ford
|
|
+
|
Zeros of Dirichlet L-functions near the Real Axis and Chebyshev's Bias
|
2001
|
Carter Bays
Kevin Ford
Richard H. Hudson
Michael Rubinstein
|
|
+
PDF
|
Sign changes in πq,a(x)-πq,b(x)
|
2001
|
Kevin Ford
Richard H. Hudson
|
|
+
PDF
|
On an irreducibility theorem of A. Schinzel associated with coverings of the integers
|
2000
|
Michael Filaseta
Kevin Ford
Sergeĭ Konyagin
|
|
+
|
Asymptotics of a Recurrent Sequence: 10682
|
2000
|
Kevin Ford
Kee-Wai Lau
|
|
+
|
A Recurrence Generating Multiples of Primes: 10655
|
2000
|
Mihály Bencze
Dan Saracino
Allen Stenger
S. Amghibech
Jean Anglesio
Rudolf Bauer
Andrew F. Siegel
D. M. Bloom
G. L. Body
David Callan
|
|
+
PDF
Chat
|
Residue classes free of values of Euler’s function
|
1999
|
Kevin Ford
Sergeĭ Konyagin
Carl Pomerance
|
|
+
|
On two conjectures of Sierpiński concerning the arithmetic functions σ and φ
|
1999
|
Kevin Ford
Sergeĭ Konyagin
|
|
+
|
The number of solutions of phi(x)=m
|
1999
|
Kevin Ford
|
|
+
|
The Number of Solutions of φ (x) = m
|
1999
|
Kevin Ford
|
|
+
PDF
|
Addendum and corrigendum to “The representation of numbers as sums of unlike powers. II”
|
1999
|
Kevin Ford
|
|
+
|
The number of solutions of q (x) = m
|
1999
|
Kevin Ford
|
|
+
|
The number of solutions of .
|
1999
|
Kevin Ford
|
|
+
|
The distribution of totients
|
1998
|
Kevin Ford
|
|
+
|
None
|
1998
|
Kevin Ford
|
|
+
|
The Distribution of Totients
|
1998
|
Kevin Ford
|
|
+
PDF
|
The representation of numbers as sums of unlike powers. II
|
1996
|
Kevin Ford
|
|
+
|
The Representation of Numbers as Sums of Unlike Powers
|
1995
|
Kevin Ford
|
|
+
|
None
|
1995
|
Kevin Ford
|
|
+
PDF
|
Some infinite series identities
|
1993
|
Kevin Ford
|