in short intervals
For any sufficiently large real number , the interval contains at least one integer having at most two prime factors .
-adic estimates for exponential sums and the theorem of Chevalley-Warning
Petites solutions des congruences
Poincaré Series for GL (n): Fourier Expansion, Kloosterman Sums, and Algebreo-Geometric Estimates.
Primes in arithmetic progressions
Primes in Arithmetic Progressions to Large Moduli. II.
Primitive Points on a Modular Hyperbola
For positive integers m, U and V, we obtain an asymptotic formula for the number of integer points (u,v) ∈ [1,U] × [1,V] which belong to the modular hyperbola uv ≡ 1 (mod m) and also have gcd(u,v) =1, which are also known as primitive points. Such points have a nice geometric interpretation as points on the modular hyperbola which are "visible" from the origin.
Primitive roots and powers among values of polynomials over finite fields.
Pseudorandom sequences of binary vectors