The refined(mathfrak{p})-adic abelian Stark conjecture in function fields

The functional equation P(f)=Q(g) in a p

The functional equation P(f)=Q(g) in a p-adic field

✍ Alain Escassut; Chung-Chun Yang 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 292 KB

Let K be a complete ultrametric algebraically closed field of characteristic p: Let P; Q be in K½x with P 0 Q 0 not identically 0: Consider two different functions f ; g analytic or meromorphic inside a disk jx À ajor (resp. in all K), satisfying Pðf Þ ¼ QðgÞ: By applying the Nevanlinna's values dis