|
+
|
Lattices in function fields and applications
|
2025
|
Christian Bagshaw
Bryce Kerr
|
|
+
PDF
Chat
|
Zeros of $L$-functions and large partial sums of Dirichlet coefficients
|
2024
|
Bryce Kerr
Oleksiy Klurman
Jesse Thorner
|
|
+
|
Additive Energy of Polynomial Images
|
2024
|
Bryce Kerr
Ali Mohammadi
Igor E. Shparlinski
|
|
+
PDF
Chat
|
Bohr sets generated by polynomials and Coppersmith’s method in many variables
|
2024
|
Riley Baird
Bryce Kerr
Igor E. Shparlinski
|
|
+
PDF
Chat
|
ENERGY BOUNDS FOR MODULAR ROOTS AND THEIR APPLICATIONS
|
2024
|
Bryce Kerr
Ilya D. Shkredov
Igor E. Shparlinski
Alexandru Zaharescu
|
|
+
|
An effective local-global principle and additive combinatorics in finite fields
|
2023
|
Bryce Kerr
Jorge Mello
Igor E. Shparlinski
|
|
+
PDF
Chat
|
Bounds on bilinear forms with Kloosterman sums
|
2023
|
Bryce Kerr
Igor E. Shparlinski
Xiaosheng Wu
Ping Xi
|
|
+
|
Large values of the error term in the prime number theorem
|
2023
|
Bryce Kerr
|
|
+
|
Weyl sums with multiplicative coefficients and joint equidistribution
|
2023
|
Matteo Bordignon
Cynthia Bortolotto
Bryce Kerr
|
|
+
|
Lattices in function fields and applications
|
2023
|
Christian Bagshaw
Bryce Kerr
|
|
+
|
Additive energy of polynomial images
|
2023
|
Bryce Kerr
Abdollah Mohammadi
Igor E. Shparlinski
|
|
+
|
Bohr sets generated by polynomials and Coppersmith's method in many variables
|
2023
|
Riley Baird
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
Metric theory of Weyl sums
|
2022
|
Changhao Chen
Bryce Kerr
James Maynard
Igor E. Shparlinski
|
|
+
|
Bounds on bilinear forms with Kloosterman sums
|
2022
|
Bryce Kerr
Igor E. Shparlinski
Xiaosheng Wu
Ping Xi
|
|
+
|
How negative can $\sum_{n\le x}\frac{f(n)}{n}$ be?
|
2022
|
Bryce Kerr
Oleksiy Klurman
|
|
+
PDF
Chat
|
On digits of Mersenne numbers
|
2021
|
Bryce Kerr
László Mérai
Igor E. Shparlinski
|
|
+
|
Bounds of Multiplicative Character Sums over Shifted Primes
|
2021
|
Bryce Kerr
|
|
+
PDF
Chat
|
Some multiplicative equations in finite fields
|
2021
|
Bryce Kerr
|
|
+
PDF
Chat
|
On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields
|
2021
|
Bryce Kerr
Jorge Mello
Igor E. Shparlinski
|
|
+
PDF
Chat
|
Multilinear exponential sums with a general class of weights
|
2021
|
Bryce Kerr
Simon Macourt
|
|
+
|
On the cubic Weyl sum
|
2021
|
Bryce Kerr
|
|
+
|
On the cubic Weyl sum
|
2021
|
Bryce Kerr
|
|
+
PDF
Chat
|
Points on polynomial curves in small boxes modulo an integer
|
2020
|
Bryce Kerr
Ali Mohammadi
|
|
+
|
Metric theory of Weyl sums
|
2020
|
Changhao Chen
Bryce Kerr
James Maynard
Igor E. Shparlinski
|
|
+
|
Bilinear forms in Weyl sums for modular square roots and applications
|
2020
|
Alexander R. Dunn
Bryce Kerr
Igor E. Shparlinski
Alexandru Zaharescu
|
|
+
|
On elements of large order of elliptic curves and multiplicative dependent images of rational functions over finite fields
|
2020
|
Bryce Kerr
Jorge Mello
Igor E. Shparlinski
|
|
+
|
An effective local--global principle for algebraic varieties and the sum product problem in finite fields
|
2020
|
Bryce Kerr
Jorge Mello
Igor E. Shparlinski
|
|
+
|
An explicit Pólya-Vinogradov inequality via Partial Gaussian sums
|
2020
|
Matteo Bordignon
Bryce Kerr
|
|
+
PDF
Chat
|
Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions
|
2020
|
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
The least primitive root modulo p2
|
2020
|
Bryce Kerr
Kevin J. McGown
Tim Trudgian
|
|
+
|
On digits of Mersenne numbers
|
2020
|
Bryce Kerr
László Mérai
Igor E. Shparlinski
|
|
+
|
Metric theory of lower bounds on Weyl sums
|
2020
|
Changhao Chen
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
On elements of large order of elliptic curves and multiplicative dependent images of rational functions over finite fields
|
2020
|
Bryce Kerr
Jorge Mello
Igor E. Shparlinski
|
|
+
|
An effective local-global principle for algebraic varieties and the sum product problem in finite fields
|
2020
|
Bryce Kerr
Jorge Mello
Igor E. Shparlinski
|
|
+
|
Metric theory of Weyl sums
|
2020
|
Changhao Chen
Bryce Kerr
James E. Maynard
Igor E. Shparlinski
|
|
+
|
On the constant in the Pólya-Vinogradov inequality
|
2019
|
Bryce Kerr
|
|
+
PDF
Chat
|
A Refinement of the Burgess Bound for Character Sums
|
2019
|
Bryce Kerr
Igor E. Shparlinski
Kam Hung Yau
|
|
+
|
An explicit P\'{o}lya-Vinogradov inequality via Partial Gaussian sums
|
2019
|
Matteo Bordignon
Bryce Kerr
|
|
+
|
The least primitive root modulo $p^{2}$
|
2019
|
Bryce Kerr
Kevin J. McGown
Tim Trudgian
|
|
+
|
Bilinear forms in Weyl sums for modular square roots and applications
|
2019
|
Alexander R. Dunn
Bryce Kerr
Igor E. Shparlinski
Alexandru Zaharescu
|
|
+
PDF
Chat
|
A NEW SUM–PRODUCT ESTIMATE IN PRIME FIELDS
|
2019
|
Changhao Chen
Bryce Kerr
Ali Mohammadi
|
|
+
|
Moments of character sums to composite modulus
|
2019
|
Bryce Kerr
|
|
+
|
Some multiplicative equations in finite fields
|
2019
|
Bryce Kerr
|
|
+
|
Multilinear Exponential Sums With A General Class Of Weights
|
2019
|
Bryce Kerr
Simon Macourt
|
|
+
|
On the distribution of fractions with power denominator
|
2019
|
Bryce Kerr
|
|
+
|
Large values of Dirichlet polynomials and zero density estimates for the Riemann zeta function
|
2019
|
Bryce Kerr
|
|
+
|
Bilinear forms in Weyl sums for modular square roots and applications
|
2019
|
Alexander R. Dunn
Bryce Kerr
Igor E. Shparlinski
Alexandru Zaharescu
|
|
+
|
An explicit Pólya-Vinogradov inequality via Partial Gaussian sums
|
2019
|
Matteo Bordignon
Bryce Kerr
|
|
+
|
The least primitive root modulo $p^{2}$
|
2019
|
Bryce Kerr
Kevin J. McGown
Tim Trudgian
|
|
+
|
Moments of character sums to composite modulus
|
2019
|
Bryce Kerr
|
|
+
|
Some multiplicative equations in finite fields
|
2019
|
Bryce Kerr
|
|
+
|
Multilinear Exponential Sums With A General Class Of Weights
|
2019
|
Bryce Kerr
Simon Macourt
|
|
+
|
Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions.
|
2018
|
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
On the constant in the Polya-Vinogradov inequality
|
2018
|
Bryce Kerr
|
|
+
|
Points on polynomial curves in small boxes modulo an integer
|
2018
|
Bryce Kerr
Ali Mohammadi
|
|
+
|
A new sum-product estimate in prime fields
|
2018
|
Changhao Chen
Bryce Kerr
Ali Mohammadi
|
|
+
|
Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions
|
2018
|
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
On the constant in the Polya-Vinogradov inequality
|
2018
|
Bryce Kerr
|
|
+
|
Points on polynomial curves in small boxes modulo an integer
|
2018
|
Bryce Kerr
Ali Mohammadi
|
|
+
PDF
Chat
|
Incomplete gauss sums modulo primes
|
2017
|
Bryce Kerr
|
|
+
|
A refinement of the Burgess bound for character sums
|
2017
|
Bryce Kerr
Igor E. Shparlinski
Kam Hung Yau
|
|
+
PDF
Chat
|
On the exponential large sieve inequality for sparse sequences modulo primes
|
2017
|
Mei-Chu Chang
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
Incomplete Gauss sums modulo primes
|
2017
|
Bryce Kerr
|
|
+
|
On the congruence <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>≡</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:…
|
2017
|
Bryce Kerr
|
|
+
|
On the exponential large sieve inequality for sparse sequences modulo primes
|
2017
|
Mei-Chu Chang
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
Incomplete Gauss sums modulo primes
|
2017
|
Bryce Kerr
|
|
+
|
A refinement of the Burgess bound for character sums
|
2017
|
Bryce Kerr
Igor E. Shparlinski
Kam Hung Yau
|
|
+
|
Lower bounds for the Riemann zeta function on short intervals of the critical line
|
2015
|
Bryce Kerr
|
|
+
PDF
Chat
|
INCOMPLETE EXPONENTIAL SUMS OVER EXPONENTIAL FUNCTIONS
|
2014
|
Bryce Kerr
|
|
+
|
Some mixed character sums
|
2014
|
Bryce Kerr
|
|
+
PDF
Chat
|
Elements of large order on varieties over prime finite fields
|
2014
|
Mei-Chu Chang
Bryce Kerr
Igor E. Shparlinski
Umberto Zannier
|
|
+
|
Rational exponential sums over the divisor function
|
2013
|
Bryce Kerr
|
|
+
PDF
Chat
|
SOLUTIONS TO POLYNOMIAL CONGRUENCES IN WELL-SHAPED SETS
|
2013
|
Bryce Kerr
|
|
+
|
On the distribution of values and zeros of polynomial systems over arbitrary sets
|
2013
|
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
Incomplete exponential sums over exponential functions
|
2013
|
Bryce Kerr
|
|
+
|
Character sums over shifted primes
|
2013
|
Bryce Kerr
|
|
+
|
On a bound of Heath-Brown for Dirichlet $L$-functions on the critical line
|
2013
|
Bryce Kerr
|
|
+
|
Incomplete exponential sums over exponential functions
|
2013
|
Bryce Kerr
|
|
+
|
Rational exponential sums over the divisor function
|
2013
|
Bryce Kerr
|
|
+
|
On the Distribution of Values and Zeros of Polynomial Systems over Arbitrary Sets
|
2012
|
Bryce Kerr
Igor E. Shparlinski
|
|
+
|
Solutions to polynomial congruences in well shaped sets
|
2012
|
Bryce Kerr
|
|
+
|
Solutions to polynomial congruences in well shaped sets
|
2012
|
Bryce Kerr
|
|
+
|
On the Distribution of Values and Zeros of Polynomial Systems over Arbitrary Sets
|
2012
|
Bryce Kerr
Igor E. Shparlinski
|