SOLUTIONS TO POLYNOMIAL CONGRUENCES IN WELL-SHAPED SETS

DOI10.1017/S0004972713000324zbMath1362.11048arXiv1210.1623MaRDI QIDQ2872009

Bryce Kerr

Publication date: 14 January 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1623

zbMATH Keywords

polynomial congruencesdistribution of points

Mathematics Subject Classification ID

Congruences in many variables (11D79) Irregularities of distribution, discrepancy (11K38)

Related Items (10)

Points on polynomial curves in small boxes modulo an integer ⋮ Additive energy and a large sieve inequality for sparse sequences ⋮ Bilinear forms with exponential sums with binomials ⋮ Subgroups generated by rational functions in finite fields ⋮ Linear congruences with ratios ⋮ On the distribution of values and zeros of polynomial systems over arbitrary sets ⋮ ON BILINEAR EXPONENTIAL AND CHARACTER SUMS WITH RECIPROCALS OF POLYNOMIALS ⋮ Interpolation and Approximation of Polynomials in Finite Fields over a Short Interval from Noisy Values ⋮ A large sieve inequality for power moduli ⋮ Large sieve estimate for multivariate polynomial moduli and applications

Cites Work

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• On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races
• Exponential sums, the geometry of hyperplane sections, and some diophantine problems
• On the concentration of points of polynomial maps and applications
• On the distribution of solutions to polynomial congruences
• On the distribution of points on multidimensional modular hyperbolas.
• CONCENTRATION OF POINTS ON MODULAR QUADRATIC FORMS
• On the Hidden Shifted Power Problem
• Exponential sums and rational points on complete intersections
• On the Volume of Tubes
• Consequences of a result of N. Katz and G. Laumon concerning trigonometric sums

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