Exponential sum estimates over subgroups of \(\mathbb Z^*_q\), \(q\) arbitrary

DOI10.1007/BF02807410zbMath1183.11045OpenAlexW1994796562MaRDI QIDQ2470246

Jean Bourgain

Publication date: 13 February 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02807410

Mathematics Subject Classification ID

Estimates on exponential sums (11L07)

Related Items (16)

On digit sums of multiples of an integer ⋮ Pseudorandom numbers and hash functions from iterations of multivariate polynomials ⋮ Affine linear sieve, expanders, and sum-product ⋮ Some remarks on the asymmetric sum-product phenomenon ⋮ Ultra-short sums of trace functions ⋮ Equidistribution of exponential sums indexed by a subgroup of fixed cardinality ⋮ The class number of $\mathbb{Q}(\sqrt{-p})$ and digits of $1/p$ ⋮ ON THE ARITHMETIC STRUCTURE OF RATIONAL NUMBERS IN THE CANTOR SET ⋮ Bounds for exponential sums modulo \(p^2\) ⋮ Exponential sum estimates in finite commutative rings and applications ⋮ Explicit values of multi-dimensional Kloosterman sums for prime powers, II ⋮ Sieving and expanders ⋮ The sum-product theorem in \(\mathbb Z_q\) with \(q\) arbitrary ⋮ Bilinear sums with exponential functions ⋮ Kloosterman sums for prime powers in \(p\)-adic fields ⋮ Differencing methods for Korobov-type exponential sums

Cites Work

• Unnamed Item
• A sum-product estimate in finite fields, and applications
• Exponential sum estimates over subgroups and almost subgroups of \(\mathbb Z_Q^*\), where \(Q\) is composite with few prime factors
• Mordell’s exponential sum estimate revisited
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER

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