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Selberg-Ihara’s Zeta function for $p$-adic Discrete Groups
Theorem (0.5).Let the notation and assumptions be as above.Then I' is a free group of rank r=q 1h1 -h 2 + 1 ( =q 2 h 2 -h 1 + 1), and we have Zeta function for p-adic Discrete Groups 173 (0.6) Zr(u; p)-1 =(l-u)nCr-1 l(l +q 2 ur<n 2 …