This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy subordination results are obtained using a new operator which the combination Hadamard product and integral function.

In this paper we treat the classical Riemann zeta function as a of three variables: one is usual complex 1 -dimensional, customly denoted s , another two are infinite dimensional, denote them b = { n } ∞ and z . When gets function. Our goal in to study meromorphic continuation ζ ( ) triple

The purpose of this paper is to give a short microlocal proof of the meromorphic continuation of the Ruelle zeta function for C∞ Anosov flows. More general results have been recently proved by Giulietti–Liverani–Pollicott [GiLiPo] but our approach is different and is based on the study of the generator of the flow as a semiclassical differential operator. The purpose of this article is to provi...

For a d-dimensional real hyperbolic manifold with cusps, we obtain more refined error terms in the prime geodesic theorem (PGT) using the Ruelle zeta function instead of the Selberg zeta function. To do this, we prove that the Ruelle zeta function over this type manifold is a meromorphic function of order d over C.