Ramification of Automorphisms ofk((t)) Original Research Article

Letkbe a field of characteristicpand letγset membership, variantAutk(k((t))). Formgreater-or-equal, slanted0 defineim=vt(γpmt−t)−1. We show that ifpdoes not dividei0is andi1<(p2−p+1) i0then there exists an integerbsuch thatim=i0+bp+bp2+…+bpmfor allmgreater-or-equal, slanted1.