Related papers: A generalization of Tanaka's formula

New expansions of the number zeta(3) in continuous fractions are found.

We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.

We give a proof of a result of Bonet, Engli\v{s} and Taskinen filling in several details and correcting some flaws.

We present Tanaka's prolongation procedure for filtered structures on manifolds discovered in [Tanaka N., J. Math. Kyoto. Univ. 10 (1970), 1-82] in a spirit of Singer-Sternberg's description of the prolongation of usual G-structures [Singer…

We obtain another proof of Hermite's integral for the Hurwitz zeta function.

We present an effective formula for the Sibony function for all Reinhardt domains.

We prove a uniformization theorem in complex algebraic geometry.

We review our construction of the Teichm\"uller TQFT. We recall our volume conjecture for this TQFT and the examples for which this conjecture has been established. We end the paper with a brief review of our new formulation of the…

In this paper we give a generalization of a result of Wei.

A generalization of an inequality from IMO is proven.

By use of a modified Nunokawa's lemma, we obtain some new conditions for univalence. Also, some sharp inequalities concerning univalent functions are presented.

In this article we derive a simple twisted relative trace formula.

We generalize certain arguments in Zariski's irregularity theorem on cyclic multiple planes.

A new method for continuing the usual Dirichlet series that defines the Riemann zeta function ${\zeta}(s)$ is presented. Numerical experiments demonstrating the computational efficacy of the resulting continuation are discussed.

We discuss some subtleties in connection with the new attempts to provide a firm basis for ths Witten-Veneziano formula.

In this work we present a simplifyed proof of Kantorovich's Theorem on Newton's Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.

We generalize the concept of disjunction.

Starting from the potential theoretic definition of the local times of a Markov process - when these exist - we obtain a Tanaka formula for the local times of symmetric L\'{e}vy processes. The most interesting case is that of the symmetric…

In this article we give a result obtained of an experimental way for the Euler totient function.

The classical theory of prolongation of G-structures was generalized by N. Tanaka to a wide class of geometric structures (Tanaka structures), which are defined on a non-holonomic distribution. Examples of Tanaka structures include…