We calculate the constant term of Coleman power series and use it to prove an analogue of Iwasawa Main Conjecture in function fields of characteristic p>0 using Euler systems. This result is proved by a similar method of classical proof of Iwasawa Main Conjecture, go back to Kolyvagin and Rubin. We construct Euler systems from theta function of Drinfeld modules and establish finite-singular comparison equation even when p is not invertible the coefficients.
Categories: math.NT