The search session has expired. Please query the service again.

Displaying similar documents to “Some applications of a non-Archimedean analogue of Descartes' rule of signs”

On ruled fields

Jack Ohm (1989)

Journal de théorie des nombres de Bordeaux

Similarity:

Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.

Algebraic S-integers of fixed degree and bounded height

Fabrizio Barroero (2015)

Acta Arithmetica

Similarity:

Let k be a number field and S a finite set of places of k containing the archimedean ones. We count the number of algebraic points of bounded height whose coordinates lie in the ring of S-integers of k. Moreover, we give an asymptotic formula for the number of S̅-integers of bounded height and fixed degree over k, where S̅ is the set of places of k̅ lying above the ones in S.