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Kerr, Bryce

Co-Author Distance
Author ID: kerr.bryce Recent zbMATH articles by "Kerr, Bryce"
Published as: Kerr, Bryce
Documents Indexed: 41 Publications since 2013, including 16 Additional arXiv Preprints
Co-Authors: 23 Co-Authors with 24 Joint Publications
646 Co-Co-Authors
all top 5

Co-Authors

17 single-authored
15 Shparlinski, Igor E.
3 Chen, Changhao
3 Mohammadi, Ali
2 Bordignon, Matteo
2 Chang, Mei-Chu
2 Klurman, Oleksiy
2 Mello, Jorge
2 Zaharescu, Alexandru
1 Bagshaw, Christian
1 Baird, Riley
1 Bortolotto, Cynthia
1 Dunn, Alexander
1 Macourt, Simon
1 Maynard, James
1 McGown, Kevin J.
1 Mérai, László
1 Shkredov, Il’ya Dmitrievich
1 Thorner, Jesse
1 Trudgian, Tim
1 Wu, Xiaosheng
1 Xi, Ping
1 Yau, Kam-hung
1 Zannier, Umberto M.
all top 5

Serials

5 Journal of Number Theory
2 Bulletin of the Australian Mathematical Society
2 The Quarterly Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Advances in Mathematics
1 Archiv der Mathematik
1 Illinois Journal of Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Transactions of the American Mathematical Society
1 Revista Matemática Iberoamericana
1 SIAM Journal on Discrete Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Finite Fields and their Applications
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Proceedings of the Steklov Institute of Mathematics
1 Research in Number Theory

Fields

27 Number theory (11-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Dynamical systems and ergodic theory (37-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

21 Publications have been cited 82 times in 70 Documents Cited by ▼ Year ▼
Solutions to polynomial congruences in well-shaped sets. Zbl 1362.11048
Kerr, Bryce
10
2013
Elements of large order on varieties over prime finite fields. Zbl 1366.11084
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.; Zannier, Umberto
9
2014
Bilinear forms in Weyl sums for modular square roots and applications. Zbl 1469.11270
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru
7
2020
A refinement of the Burgess bound for character sums. Zbl 1471.11229
Kerr, Bryce; Shparlinski, Igor E.; Yau, Kam Hung
7
2020
On the congruence \(x_1 x_2 \equiv x_3 x_4 \mod q\). Zbl 1406.11028
Kerr, Bryce
6
2017
Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions. Zbl 1471.11251
Kerr, Bryce; Shparlinski, Igor E.
5
2020
An explicit Pólya-Vinogradov inequality via partial Gaussian sums. Zbl 1467.11078
Bordignon, Matteo; Kerr, Bryce
5
2020
Incomplete exponential sums over exponential functions. Zbl 1386.11095
Kerr, Bryce
5
2015
Bounds on bilinear forms with Kloosterman sums. Zbl 1532.11113
Kerr, Bryce; Shparlinski, Igor E.; Wu, Xiaosheng; Xi, Ping
4
2023
Metric theory of Weyl sums. Zbl 1520.11075
Chen, Changhao; Kerr, Bryce; Maynard, James; Shparlinski, Igor E.
4
2023
Multilinear exponential sums with a general class of weights. Zbl 1491.11075
Kerr, Bryce; Macourt, Simon
3
2021
Points on polynomial curves in small boxes modulo an integer. Zbl 1468.11095
Kerr, Bryce; Mohammadi, Ali
3
2021
On the constant in the Pólya-Vinogradov inequality. Zbl 1439.11194
Kerr, Bryce
2
2020
On the distribution of values and zeros of polynomial systems over arbitrary sets. Zbl 1297.11088
Kerr, Bryce; Shparlinski, Igor E.
2
2013
A new sum-product estimate in prime fields. Zbl 1453.11018
Chen, Changhao; Kerr, Bryce; Mohammadi, Ali
2
2019
On digits of Mersenne numbers. Zbl 1531.11013
Kerr, Bryce; Mérai, László; Shparlinski, Igor E.
2
2022
Lower bounds for the Riemann zeta function on short intervals of the critical line. Zbl 1326.11046
Kerr, Bryce
2
2015
On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields. Zbl 1479.11106
Kerr, Bryce; Mello, Jorge; Shparlinski, Igor E.
1
2021
Incomplete Gauss sums modulo primes. Zbl 1422.11170
Kerr, Bryce
1
2018
The least primitive root modulo \(p^2\). Zbl 1469.11003
Kerr, Bryce; McGown, Kevin J.; Trudgian, Tim
1
2020
On the exponential large sieve inequality for sparse sequences modulo primes. Zbl 1430.11131
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.
1
2018
Bounds on bilinear forms with Kloosterman sums. Zbl 1532.11113
Kerr, Bryce; Shparlinski, Igor E.; Wu, Xiaosheng; Xi, Ping
4
2023
Metric theory of Weyl sums. Zbl 1520.11075
Chen, Changhao; Kerr, Bryce; Maynard, James; Shparlinski, Igor E.
4
2023
On digits of Mersenne numbers. Zbl 1531.11013
Kerr, Bryce; Mérai, László; Shparlinski, Igor E.
2
2022
Multilinear exponential sums with a general class of weights. Zbl 1491.11075
Kerr, Bryce; Macourt, Simon
3
2021
Points on polynomial curves in small boxes modulo an integer. Zbl 1468.11095
Kerr, Bryce; Mohammadi, Ali
3
2021
On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields. Zbl 1479.11106
Kerr, Bryce; Mello, Jorge; Shparlinski, Igor E.
1
2021
Bilinear forms in Weyl sums for modular square roots and applications. Zbl 1469.11270
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru
7
2020
A refinement of the Burgess bound for character sums. Zbl 1471.11229
Kerr, Bryce; Shparlinski, Igor E.; Yau, Kam Hung
7
2020
Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions. Zbl 1471.11251
Kerr, Bryce; Shparlinski, Igor E.
5
2020
An explicit Pólya-Vinogradov inequality via partial Gaussian sums. Zbl 1467.11078
Bordignon, Matteo; Kerr, Bryce
5
2020
On the constant in the Pólya-Vinogradov inequality. Zbl 1439.11194
Kerr, Bryce
2
2020
The least primitive root modulo \(p^2\). Zbl 1469.11003
Kerr, Bryce; McGown, Kevin J.; Trudgian, Tim
1
2020
A new sum-product estimate in prime fields. Zbl 1453.11018
Chen, Changhao; Kerr, Bryce; Mohammadi, Ali
2
2019
Incomplete Gauss sums modulo primes. Zbl 1422.11170
Kerr, Bryce
1
2018
On the exponential large sieve inequality for sparse sequences modulo primes. Zbl 1430.11131
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.
1
2018
On the congruence \(x_1 x_2 \equiv x_3 x_4 \mod q\). Zbl 1406.11028
Kerr, Bryce
6
2017
Incomplete exponential sums over exponential functions. Zbl 1386.11095
Kerr, Bryce
5
2015
Lower bounds for the Riemann zeta function on short intervals of the critical line. Zbl 1326.11046
Kerr, Bryce
2
2015
Elements of large order on varieties over prime finite fields. Zbl 1366.11084
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E.; Zannier, Umberto
9
2014
Solutions to polynomial congruences in well-shaped sets. Zbl 1362.11048
Kerr, Bryce
10
2013
On the distribution of values and zeros of polynomial systems over arbitrary sets. Zbl 1297.11088
Kerr, Bryce; Shparlinski, Igor E.
2
2013
all cited Publications top 5 cited Publications
all top 5

Cited by 70 Authors

33 Shparlinski, Igor E.
8 Kerr, Bryce
5 Munsch, Marc
5 Shkredov, Il’ya Dmitrievich
5 Yau, Kam-hung
3 Bordignon, Matteo
3 Wu, Xiaosheng
2 Bag, Nilanjan
2 Bagshaw, Christian
2 Baker, Roger C.
2 Gamburd, Alexander
2 Konyagin, Sergeĭ Vladimirovich
2 Macourt, Simon
2 McGown, Kevin J.
2 Mello, Jorge
2 Mohammadi, Ali
1 Bourgain, Jean
1 Brandes, Julia
1 Browning, Timothy Daniel
1 Chen, Bo
1 Chen, Changhao
1 Cochrane, Todd
1 de la Bretèche, Régis
1 Doliskani, Javad
1 Dudek, Adrian W.
1 El Abdalaoui, Houcein
1 Fouvry, Etienne
1 Garcia-Morchon, Oscar
1 Ghioca, Dragos
1 Gomez-Perez, Domingo
1 Gutierrez, Jaime
1 Halupczok, Karin
1 Hase-Liu, Matthew
1 Hauck, Maximilian
1 Ivić, Aleksandar
1 Jain-Sharma, Niraek
1 Khale, Tanmay
1 Korolëv, Maksim Aleksandrovich
1 Liu, Kui
1 Liu, Mengzhen
1 Martin, Greg
1 Matomäki, Kaisa
1 McGrath, Oliver
1 Mérai, László
1 Ostafe, Alina
1 Petridis, Giorgis
1 Pierce, Lillian B.
1 Pollack, Paul
1 Rietman, Ronald
1 Rudnev, Misha
1 Sarnak, Peter Clive
1 Shakan, George
1 Sheffer, Adam
1 Shi, Sanying
1 Spiegelhofer, Lukas
1 Steiner, Raphael Sebastian
1 Tenenbaum, Gérald
1 Teräväinen, Joni
1 Tolhuizen, Ludo M. G. M.
1 Treviño, Enrique
1 Trudgian, Tim
1 Vandehey, Joseph
1 Voloch, José Felipe
1 Vyugin, Ilya V.
1 White, Ethan Patrick
1 Xi, Ping
1 Xu, Junyan
1 Yip, Chi Hoi
1 Zaharescu, Alexandru
1 Zhang, Tianping
all top 5

Cited in 37 Serials

10 Journal of Number Theory
4 Bulletin of the Australian Mathematical Society
4 Mathematika
4 Proceedings of the American Mathematical Society
4 International Journal of Number Theory
3 Finite Fields and their Applications
2 Journal d’Analyse Mathématique
2 Acta Arithmetica
2 Canadian Mathematical Bulletin
2 Journal of the London Mathematical Society. Second Series
2 Monatshefte für Mathematik
2 Transactions of the American Mathematical Society
2 SIAM Journal on Discrete Mathematics
1 Israel Journal of Mathematics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 European Journal of Combinatorics
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Designs, Codes and Cryptography
1 Applicable Algebra in Engineering, Communication and Computing
1 Experimental Mathematics
1 Integers
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Advances in Mathematics of Communications
1 Algebra & Number Theory
1 Science China. Mathematics
1 Research in Number Theory
all top 5

Cited in 10 Fields

70 Number theory (11-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Combinatorics (05-XX)
3 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Information and communication theory, circuits (94-XX)
1 Convex and discrete geometry (52-XX)
1 Probability theory and stochastic processes (60-XX)
1 Computer science (68-XX)

Citations by Year