Points on curves in small boxes and applications

DOI10.1307/mmj/1409932631zbMath1316.11024arXiv1111.1543OpenAlexW2962785878MaRDI QIDQ464661

J. Herrera, D. Rodríguez-Gómez

Publication date: 29 October 2014

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1543

zbMATH Keywords

congruences in many variablescurves over finite fields

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Polynomials over finite fields (11T06) Congruences in many variables (11D79)

Related Items (16)

Points on polynomial curves in small boxes modulo an integer ⋮ Concentration of points on curves in finite fields ⋮ Additive energy and a large sieve inequality for sparse sequences ⋮ Reconstructing points of superelliptic curves over a prime finite field ⋮ Double character sums with intervals and arbitrary sets ⋮ On the distribution of modular square roots of primes ⋮ Bilinear forms in Weyl sums for modular square roots and applications ⋮ A note on \(n!\) modulo \(p\) ⋮ Subgroups generated by rational functions in finite fields ⋮ Polynomial iteration in characteristic \(p\) ⋮ Groups generated by iterations of polynomials over finite fields ⋮ Identity testing and interpolation from high powers of polynomials of large degree over finite fields ⋮ ON BILINEAR EXPONENTIAL AND CHARACTER SUMS WITH RECIPROCALS OF POLYNOMIALS ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition ⋮ Polynomial values in affine subspaces of finite fields ⋮ Close values of shifted modular inversions and the decisional modular inversion hidden number problem

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