2 citations · 2 across the 2 of their papers we have counts for
Showing math.NTShow all
3 papers · 1 filter
math.NT2000
Towers of function fields with extremal properties
Vinay Deolalikar
Certain towers of function fields with complete splitting of rational places at each stage are constructed. Also, families oof towers with positive N/g ratios are described.
math.NT2000
Extensions of algebraic function fields with complete splitting of all rational places
Vinay Deolalikar
We introduce the notion of "quasi-symmetric" polynomials, which is a generalization of the notion of symmetry, and is particularly suited to the setting of polynomial rings over fi…
math.NT2000
Symmetry, splitting rational places in extensions of function fields and generalization of the Hermitian function field
Vinay Deolalikar
The notion of symmetry in polynomial rings with several indeterminates is generalized to polynomial rings over finite fields. Families of extensions of the projective line over a f…