Partitions with designated summands
Partitions with numbers in their gaps
Partitions with parts in a finite set and with parts outside a finite set.
Permutations et partitions : tableaux à marges égales et distance partitionnelle
Permuting the partitions of a prime
Given an odd prime number , we characterize the partitions of with non negative parts for which there exist permutations of the set such that divides but does not divide . This happens if and only if the maximal number of equal parts of is less than . The question appeared when dealing with sums of -th powers of resolvents, in order to solve a Galois module structure problem.
Pfister's Dimension and the Level of Fields.
Plane Partitions (III): The Weak MacDonald Conjecture.
Plane partitions IV: A conjecture of Mills-Robbins-Rumsey.
Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques
We demonstrate the Batyrev-Manin Conjecture for the number of points of bounded height on hypersurfaces of some toric varieties whose rank of the Picard group is 2. The method used is inspired by the one developed by Schindler for the case of hypersurfaces of biprojective spaces and by Blomer and Brüdern for some hypersurfaces of multiprojective spaces. These methods are based on the Hardy-Littlewood circle method. The constant obtained in the final asymptotic formula is the one conjectured by Peyre....
Points entiers au voisinage d'une courbe plane de classe Cⁿ
Polar lattices from the point of view of nuclear spaces.
The aim of this survey article is to show certain questions concerning nuclear spaces and linear operators in normed spaces lead to questions from geometry of numbers.
Polynômes de ayant un diviseur de degré donné
Polynomial identities which imply identities of Euler and Jacobi
Polynomial quotients: Interpolation, value sets and Waring's problem
For an odd prime p and an integer w ≥ 1, polynomial quotients are defined by with , u ≥ 0, which are generalizations of Fermat quotients . First, we estimate the number of elements for which for a given polynomial f(x) over the finite field . In particular, for the case f(x)=x we get bounds on the number of fixed points of polynomial quotients. Second, before we study the problem of estimating the smallest number (called the Waring number) of summands needed to express each element of...
Positivity Zones and Norms of N-fold Convolutions - I
Powers of 2 with five distinct summands
p-primary parts of unit traces and the p-adic regulator
Primes and Powers of 2.
Primes of the type φ(x, y)+A where φ is a quadratic form
Primes represented by quadratic polynomials in two variables