Tate conjecture for twisted Siegel modular threefolds
The integer transfinite diameter of intervals and totally real algebraic integers
In this paper we build on some recent work of Amoroso, and Borwein and Erdélyi to derive upper and lower estimates for the integer transfinite diameter of small intervals , where is a fixed rational and . We also study functions associated with transfinite diameters of Farey intervals. Then we consider certain polynomials, which we call critical polynomials, associated to a given interval . We show how to estimate from below the proportion of roots of an integer polynomial which is sufficiently...
The Pólya-Vinogradov inequality for totally real algebraic number fields
The totally real extension of degree 6 with minimum discriminant.
The totally real extension of degree 6 with minimum discriminant.
Theorie des genres analytique des fonctions L p-adiques des corps totalement réels.
Total positivity and algebraic Witt classes.
Totally positive algebraic integers of small trace
Let be a totally positive algebraic integer, with the difference between its trace and its degree at most 6. We describe an algorithm for finding all such , and display the resulting list of 1314 values of which the algorithm produces.
Tours de corps de classes et estimations de discrimants.
Tours de corps de classes et estimations de discriminants.