An Alternate Approach to Solitons for imageq[t] Original Research Article

We describe an alternate approach to the solitons for imageq[t] introduced by Anderson. The product of the monic polynomials in imageq[t] of degreeiin a given congruence class can be expressed in a compact form by the solitons “for alliat once.” They also link the arithmetic of imageq[t] gamma values at fractions to the analogues of Jacobians of Fermat curves in the setting of higher dimensional generalizations of Drinfeld modules. We will calculate explicit equations, formulae and bound the support of the divisors of the solitons. We also show how the generalization of this approach differs from the one suggested by Andersonʹs approach.