Series trigonometriques speciales et corps quadratiques
Serre–Tate theory for moduli spaces of PEL type
Seshadri constants and interpolation on commutative algebraic groups
In this article we study interpolation estimates on a special class of compactifications of commutative algebraic groups constructed by Serre. We obtain a large quantitative improvement over previous results due to Masser and the first author and our main result has the same level of accuracy as the best known multiplicity estimates. The improvements come both from using special properties of the compactifications which we consider and from a different approach based upon Seshadri constants and...
Set of Points on Elliptic Curve in Projective Coordinates
In this article, we formalize a set of points on an elliptic curve over GF(p). Elliptic curve cryptography [10], whose security is based on a difficulty of discrete logarithm problem of elliptic curves, is important for information security.
Set-polynomials and polynomial extension of the Hales-Jewett theorem.
Sets, lists and noncrossing partitions.
Sets of block structure and discrepancy estimates
Sets of exact approximation order by rational numbers III
Sets of integers and quasi-integers with pairwise common divisor
Sets of integers composed of few prime numbers
Sets of integers that do not contain long arithmetic progressions.
Sets of integers with pairwise common divisor and a factor from a specified set of primes
Sets of -recurrence but not -recurrence
For every , we produce a set of integers which is -recurrent but not -recurrent. This extends a result of Furstenberg who produced a -recurrent set which is not -recurrent. We discuss a similar result for convergence of multiple ergodic averages. We also point out a combinatorial consequence related to Szemerédi’s theorem.
Sets of lengths do not characterize numerical monoids.
Sets of parts such that the partition function is even
Sets of positive integers with prescribed values of densities
Sets of Primes with Intermediate Density.
Sets of -expansions and the Hausdorff measure of slices through fractals
We study natural measures on sets of -expansions and on slices through self similar sets. In the setting of -expansions, these allow us to better understand the measure of maximal entropy for the random -transformation and to reinterpret a result of Lindenstrauss, Peres and Schlag in terms of equidistribution. Each of these applications is relevant to the study of Bernoulli convolutions. In the fractal setting this allows us to understand how to disintegrate Hausdorff measure by slicing, leading...
Sets with even partition functions and 2-adic integers. II.
Sets with more sums than differences.