Related papers: A generalization of Tanaka's formula

We generalize and prove a result which was first shown by Zippin, and was explicitly formulated by Benyamini.

We prove a stability version of the Pr\'ekopa-Leindler inequality.

We present a new variant of the Faa di Bruno formula with a simpler summation order.

In this paper, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem.

We prove a new linear relation for multiple zeta values. This is a natural generalization of the restricted sum formula proved by Eie, Liaw and Ong. We also present an analogous result for finite multiple zeta values.

In this paper, we give a new discovery of conversion of generalized singular values. New formulation is proposed.

In this paper, we propose a generalization of a congruence due to Carlitz.

One of the variants to proof the generalized Ito-Wentzell's formula is introduced and examined in this paper. The relationship between different representations of the generalized Ito-Wentzell's formula/ is considered.

In this paper, we introduce a new connector which generalizes the connector found by the third author and Yamamoto. The new connector gives a direct proof of the double Ohno relation recently proved by the first author, the second author,…

In the present note, we generalize the first part of the Borel-Cantelli lemma. By this generalization, we obtain some strong limit results.

We prove a variation of Gronwall's lemma.

We prove an infinitary version of the Brauer-Schur theorem.

In the present note a generalization of Borel-Cantelli Lemma is proposed.

In this paper we extend the Tanaka finiteness theorem and inequality for the number of symmetries to arbitrary distributions (differential systems) and provide several applications.

In an earlier paper, we gave an abstract formulation of a theorem of Sierpi\'nski in uncountable commutative groups. In this paper, we prove a result which generalizes the earlier formulation.

We obtain some new inequalities of Chebyshev Type.

We give a new simpler proof of a theorem of Jayne and Rogers.

A proposed solution to the Riemann Hypothesis

We postulate a new nonlinear generalization of the Dirac equation for an electron. Basic properties of the new equation are considered.

Particular solutions of the Benney equations are constructed. Their properties are discussed.