Binary quadratic forms and sums of triangular numbers
Binomial squares in pure cubic number fields
Let , with a positive integer, be a pure cubic number field. We show that the elements whose squares have the form for rational numbers form a group isomorphic to the group of rational points on the elliptic curve . This result will allow us to construct unramified quadratic extensions of pure cubic number fields .
Biquaternion algebras and quartic extensions
Bloch and Kato's exponential map: three explicit formulas.
Boundary conditions for expanding domains
Bounding L-functions by class numbers
Bounds for arithmetic multiplicities.
Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
A bibliography of recent papers on lower bounds for discriminants of number fields and related topics is presented. Some of the main methods, results, and open problems are discussed.
Bounds For Étale Capitulation Kernels II
Let be an odd prime and a cyclic -extension of number fields. We give a lower bound for the order of the kernel and cokernel of the natural extension map between the even étale -groups of the ring of -integers of , where is a finite set of primes containing those which are -adic.
Bounds for frequencies of class groups of real quadratic genus 1 function fields
Bounds for solutions of additive equations in an algebraic number field II
Bounds for the degrees of CM-fields of class number one
Bounds on the number of non-rational subfields of a function field.
Brauer-Kuroda relations for S-class numbers
Brauer's class number relation
Brownian motion, approximation of functions, and Fourier analysis
Brumer-Stark-Stickelberger
C4-Extensions of Sn as Galois Groups.
Calcul de groupes de classes
Calcul de nombres de classes par dévissage des unités cyclotomiques