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scientific article; zbMATH DE number 5589248

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Publication:5324217
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zbMath1223.11112MaRDI QIDQ5324217

Peter C. Sarnak

Publication date: 3 August 2009


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

expanderssum-productaffine linear sievePrimessaturation numbersaffine orbits


Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Applications of sieve methods (11N36) Distribution of primes (11N05) Arithmetic combinatorics; higher degree uniformity (11B30) Applications of automorphic functions and forms to multiplicative problems (11N75)


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Prime points in orbits: some instances of the Bourgain-Gamburd-Sarnak conjecture ⋮ Prime and almost prime integral points on principal homogeneous spaces ⋮ Non-CM elliptic curves with infinitely many almost prime Frobenius traces ⋮ Primes, elliptic curves and cyclic groups ⋮ From Apollonius to Zaremba: Local-global phenomena in thin orbits ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ The hyperbolic lattice point count in infinite volume with applications to sieves ⋮ Expander graphs in pure and applied mathematics ⋮ Levels of distribution and the affine sieve




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