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In this paper the term "meromorphic function" will mean a meromorphic function in C. We will use the standard notations of Nevanlinna theory : T(r, /), m(r, c9 /), N(r, c, /), FJ(r, c, /), N^r, /), θ(c, /) (*e=Cu {«>}), and we assume that the reader is familiar with the basic results in Nevanlinna theory as found in [2]. Further, we will use the notations defined in the following (i)-(iv): (i) Let /and g be distinct nonconstant meromorphic functions. For r>0, put T(r)— max {T(r, /), T(r, g)} . We write σ(r)=S(r) for every function σ : (0, oo)— >(— oo } oo ) satisfying σ(r)/T(r)— »0 for r— »oo possibly outside a set of finite Lebesgue measure. (ii) For a nonconstant meromorphic function /, ceCu{°o} and a positive integer k, we denote by n(r, c, f k) the number of distinct roots of the equation f=c with multiplicity k in \z <^r. We write

Unicity theorems for meromorphic functions sharing five or six values in some sense