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Bounds -- an option for the function fpt specifying lower and upper bounds for the F-pure threshold

Description

An option for the function fpt specifying bounds for the $F$-pure threshold. Bounds accepts lists consisting of two numbers, namely a lower and an upper bound for the $F$-pure threshold being computed. This useful feature allows the user to refine bounds obtained in previous computations, as illustrated below.

i1 : R = ZZ/5[x,y];
i2 : f = x^7*y^5*(x + y)^5*(x^2 + y^3)^4;
i3 : fpt(f, DepthOfSearch => 3, Attempts => 5)

       19   1
o3 = {---, --}
      250  13

o3 : List
i4 : fpt(f, DepthOfSearch => 3, Attempts => 5, Bounds => oo)

       45   1
o4 = {---, --}
      589  13

o4 : List

Functions with optional argument named Bounds :

For the programmer

The object Bounds is a symbol.