Related papers: A refinement of a theorem by Franks

In this note, we describe an interpretation of the (continuous) Fourier transform from the perspective of the Chinese Remainder Theorem. Some related issues, including a new derivation of Poisson summation formula, are discussed.

In this paper, we give a counter-example, in the general case, Kronecker theorem will derive contradiction. Kronecker theorem be correct after removing some conditions.

A new simple proof of Stirling's formula via the partial fraction expansion for the tangent function is presented.

We provide a simple proof of Kamp's theorem.

In this paper, we will give an extension of Mok's theorem on the generalized Frankel conjecture under the condition of the orthogonal bisectional curvature.

We prove the theorems which are equivalent to the Roland's results such that a new form of them allows to consider some generalizations. In particular, we give generators of primes more than a fixed prime.

In this paper we prove a generalization of famous Larchr's theorem concerning good lattice points.

We prove a continued fraction expansion for a certain q--tangent function that was conjectured by Prodinger.

Corrections are brought to an article of Friesen on continued fractions of a given period.

We give a proof of a phenomenon conjectured in our former article: "Beltrami forms, affine surfaces and the Schwarz-Christoffel formula: a worked out example of straightening". We also start an abstract discussion of the notion of limits of…

We prove a generalization of Istvan F\'ary's celebrated theorem to higher dimension.

We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.

In this paper we propose and prove some generalizations and sharpenings of certain inequalities of Wilker;'s and Shafer-Fink's type. Application of the Wu-Debnath theorem enabled us to prove some double sided inequalities.

A refined transfer is defined for the purpose of defining a refined version of the families torsion of Dwyer, Weiss, and Williams.

We reveal that Thompson's group $F$ has a quandle refinement, and we establish some essential results about the originating quandle.

We present some reflections concerning two papers by H. Poincar\'e concerning the theory of quanta.

We provide a new simple and transparent proof of the version of Kummer's test given in [Tong, J. (1994). Amer. Math. Monthly. 101(5): 450--452]. Our proof is based on an application of a Hardy--Littlewood Tauberian theorem.

This paper proposes a generalized ABC conjecture and assuming its validity settles a generalized version of Fermats last theorem.

The purpose of this lecture is to describe the KAM theorem in its most basic form and to give a complete and detailed proof. This proof essentially follows the traditional lines laid out by the inventors of this theory, and the emphasis is…

The so-called type problem or forcing problem is considered as a way to generalize Sharkovskii's theorem. In this paper, by focusing on certain types of orbits, we obtain a solution of the type problem, which gives a refinement of…