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Bryce Kerr
Bryce Kerr
Verified email at unsw.edu.au
Title
Cited by
Cited by
Year
Bilinear forms in Weyl sums for modular square roots and applications
A Dunn, B Kerr, IE Shparlinski, A Zaharescu
Advances in Mathematics 375, 107369, 2020
162020
Elements of large order on varieties over prime finite fields
MC Chang, B Kerr, IE Shparlinski, U Zannier
Journal de théorie des nombres de Bordeaux 26 (3), 579-593, 2014
152014
Solutions to polynomial congruences in well-shaped sets
B Kerr
Bulletin of the Australian Mathematical Society 88 (3), 435-447, 2013
142013
A refinement of the Burgess bound for character sums
B Kerr, IE Shparlinski, KH Yau
Michigan Mathematical Journal 69 (2), 227-240, 2020
132020
On the congruence x1x2≡ x3x4modq
B Kerr
Journal of Number Theory 180, 154-168, 2017
112017
An explicit Pólya-Vinogradov inequality via partial Gaussian sums
M Bordignon, B Kerr
Transactions of the American Mathematical Society 373 (9), 6503-6527, 2020
102020
Bounds on bilinear forms with Kloosterman sums
B Kerr, IE Shparlinski, X Wu, P Xi
Journal of the London Mathematical Society 108 (2), 578-621, 2023
92023
Metric theory of Weyl sums
C Chen, B Kerr, J Maynard, IE Shparlinski
Mathematische Annalen, 1-47, 2022
92022
Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions
B Kerr, IE Shparlinski
Research in Number Theory 6 (1), 16, 2020
92020
A new sum–product estimate in prime fields
C Chen, B Kerr, A Mohammadi
Bulletin of the Australian Mathematical Society 100 (2), 268-280, 2019
92019
Incomplete exponential sums over exponential functions
B Kerr
Quarterly Journal of Mathematics 66 (1), 213-224, 2015
92015
Energy bounds for modular roots and their applications
B Kerr, ID Shkredov, IE Shparlinski, A Zaharescu
arXiv preprint arXiv:2103.09405, 2021
62021
On the constant in the Pólya-Vinogradov inequality
B Kerr
Journal of Number Theory 212, 265-284, 2020
52020
Some mixed character sums
B Kerr
arXiv preprint arXiv:1410.3587, 2014
52014
Points on polynomial curves in small boxes modulo an integer
B Kerr, A Mohammadi
Journal of Number Theory 223, 64-78, 2021
42021
Multilinear exponential sums with a general class of weights
B Kerr, S Macourt
arXiv preprint arXiv:1901.00975, 2019
42019
On the distribution of values and zeros of polynomial systems over arbitrary sets
B Kerr, IE Shparlinski
Journal of Number Theory 133 (9), 2863-2873, 2013
42013
On digits of Mersenne numbers
B Kerr, L Mérai, IE Shparlinski
Revista Matemática Iberoamericana 38 (6), 1901-1925, 2022
32022
Multilinear exponential sums with a general class of weights
B Kerr, S Macourt
ANNALI SCUOLA NORMALE SUPERIORE-CLASSE DI SCIENZE, 1105-1130, 2021
32021
On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields
B Kerr, J Mello, IE Shparlinski
32021
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