An Asymmetric Inequality for non-homogeneous ternary quadratic forms.
An average formula for the class number
An effective p-adic analogue of a theorem of Thue II. The greatest prime factor of a binary form
An explicit version of Birch's Theorem
An extension of some formulae of Lerch
An invariant of quadratic forms over schemes.
An odd square as a sum of an odd number of odd squares
Analogues of Jacobi's two-square theorem: an informal account.
Analyse spectrale et prolongement analytique : séries d’Eisenstein, fonctions et nombre de solutions d’équations diophantiennes
Anisotropic forms modulo p²
Annihilating polynomials for quadratic forms.
Antieigenvalue analysis for continuum mechanics, economics, and number theory
My recent book Antieigenvalue Analysis, World-Scientific, 2012, presented the theory of antieigenvalues from its inception in 1966 up to 2010, and its applications within those forty-five years to Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance, and Optimization. Here I am able to offer three further areas of application: Continuum Mechanics, Economics, and Number Theory. In particular, the critical angle of repose in a continuum model of granular materials is shown to be exactly...
Appendix to Kazuya Kato: A Hasse principle for two dimensional global fields.
Applications des formules générales qui donnent la solution complète, en nombres entiers, de l'équation homogène du second degré contenant un nombre quelconque d'inconnues
Applications of spinor class fields: embeddings of orders and quaternionic lattices
We extend the theory of spinor class fields and relative spinor class fields to study representation problems in several classical linear algebraic groups over number fields. We apply this theory to study the set of isomorphism classes of maximal orders of central simple algebras containing a given maximal Abelian suborder. We also study isometric embeddings of one skew-Hermitian Quaternionic lattice into another.
Applied mathematics meets signal processing.
Arf equivalence II
Arithmetic of Hermitian forms.
Arithmetic of Pell surfaces
Arithmetic of quaternary quadratic forms