Representations of certain binary quadratic forms as Lambert series
Representations of discriminantal divisors by binary quadratic forms.
Representations of every integer as the difference of nonsquare powerful numbers
Representations of integers as sums of primes from a Beatty sequence
Representations of integers by binary forms and the rank of the Mordell-Weil group.
Representations of multivariate polynomials by sums of univariate polynomials in linear forms
The paper is concentrated on two issues: presentation of a multivariate polynomial over a field K, not necessarily algebraically closed, as a sum of univariate polynomials in linear forms defined over K, and presentation of a form, in particular a zero form, as the sum of powers of linear forms projectively distinct defined over an algebraically closed field. An upper bound on the number of summands in presentations of all (not only generic) polynomials and forms of a given number of variables and...
Representations of non-negative polynomials via KKT ideals
This paper studies the representation of a non-negative polynomial f on a non-compact semi-algebraic set K modulo its KKT (Karush-Kuhn-Tucker) ideal. Under the assumption that f satisfies the boundary Hessian conditions (BHC) at each zero of f in K, we show that f can be represented as a sum of squares (SOS) of real polynomials modulo its KKT ideal if f ≥ 0 on K.
Representations of positive definite quadratic forms.
Representations of real numbers by series of reciprocals of odd integers
Representations of squares by certain quinary quadratic forms
Représentations -adiques potentiellement cristallines
Représentations potentiellement triangulines de dimension
Les deux résultats principaux de cette note sont d’une part que si est une représentation de de dimension qui est potentiellement trianguline, alors vérifie au moins une des propriétés suivantes (1) est trianguline déployée (2) est une somme de caractères ou une induite (3) est une représentation de de Rham tordue par un caractère, et d’autre part qu’il existe des représentations de de dimension qui ne sont pas potentiellement triangulines.
Représentations unipotents et formes qutomorphes de carré intégrable.
Representations with cohomology in the discrete spectrum of subgroups of and Lefschetz numbers
Representing integers as linear combinations of S-units
Representing integers as products of integers of a specified type
Representing real numbers in Möbius number systems
Rep-tiling Euclidean space.
Repulsive behavior in an exceptional family
Research notes on a density problem of Erdős.