Sum-product phenomena: \(\mathfrak{P}\)-adic case
From MaRDI portal
Publication:2227140
DOI10.1007/s11854-020-0139-yzbMath1454.11051arXiv1602.00400OpenAlexW3123610151MaRDI QIDQ2227140
Publication date: 10 February 2021
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.00400
Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Algebraic number theory: local fields (11S99)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A spectral gap theorem in SU\((d)\)
- Approximate subgroups of linear groups.
- Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). II.
- The sum-product theorem in \(\mathbb Z_q\) with \(q\) arbitrary
- Bounds for multiplicities of automorphic representations
- A new proof of Szemerédi's theorem for arithmetic progressions of length four
- Entropy of convolutions on the circle
- Measures on the circle invariant under multiplication by a nonlacunary subsemigroup of the integers
- A polynomial bound in Freiman's theorem.
- A sum-product estimate in finite fields, and applications
- Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers
- A product theorem in simple Lie groups
- Local spectral gap in simple Lie groups and applications
- Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
- Growth in \(\mathrm{SL}_3(\mathbb Z/p\mathbb Z)\).
- On the spectral gap for finitely-generated subgroups of \(\text{SU}(2)\)
- On the Erdős-Volkmann and Katz-Tao ring conjectures
- A proof of the fundamental theorem on the density of sums of sets of positive integers
- Growth in finite simple groups of Lie type
- ×2 and ×3 invariant measures and entropy
- Quasirandom Groups
- Super-approximation, I: $\mathfrak {p}$-adic semisimple case
- Mordell’s exponential sum estimate revisited
- Borel subrings of the reals
- Elements of Information Theory
- Some connections between Falconer's distance set conjecture and sets of Furstenburg type
This page was built for publication: Sum-product phenomena: \(\mathfrak{P}\)-adic case
