相关论文: The property of maximal transcendentality: calcula…
We review some results of calculations, having the property of maximal transcendentality.
We present maximality results in the setting of non necessarily bounded operators. In particular, we discuss and establish results showing when the "inclusion" between operators becomes a full equality.
A survey of properties of a sequence of coefficients appearing in the evaluation of a quartic definite integral is presented. These properties are of analytical, combinatorial and number-theoretical nature.
We study the set of algebraic numbers of bounded height and bounded degree where an analytic transcendental function takes algebraic values.
We study the set of algebraic numbers of bounded height and bounded degree where an analytic transcendental function takes algebraic values.
Attempting to create a general framework for studying new results on transcendental numbers, this paper begins with a survey on transcendental numbers and transcendence, it then presents several properties of the transcendental numbers $e$…
In this paper, we study various properties of matroidal ideals.
The purpose of this paper is to provide some properties of maximal plurisubharmonic functions in a bounded domain of \mathbb{C}^n
We give an example of a dominant rational selfmap of the projective plane whose dynamical degree is a transcendental number.
We study integral estimates of maximal functions for Schr\"odinger means.
Cyclotomic polylogarithms are reviewed and new results concerning the special constants that occur are presented. This also allows some comments on previous literature results using PSLQ.
We prove the analogue of Schanuel's conjecture for raising to the power of an exponentially transcendental real number. All but countably many real numbers are exponentially transcendental. We also give a more general result for several…
We deal with the complete-intersection property of maximally differential ideals. Also, we connect the Gorenstein homology of derivations to the Gorenstein property of the base rings. These equipped with some applications.
A supercongruence is a congruence between rational numbers modulo a power of a prime. In this paper, we give a technique for finding and algorithmically proving supercongruences by expressing terms as infinite series involving certain…
In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.
In this paper, we show the existence of a transcendental function $f\in\mathbb{Z}\{z\}$ with coefficients that are almost all bounded such that $f$ and all its derivatives assume algebraic values at algebraic points. Furthermore, we…
In this paper we use a generalization of Oevel's theorem about master symmetries to relate them with superintegrability and quadratic algebras.
This paper gives the recursion formula for mixed multiplicities of maximal degrees with respect to joint reductions of ideals, which is one of important results in the mixed multiplicity theory. Using this result, we give consequences on…
A mixture of an historical article, and of a survey of recent developments, containing also a couple of new results.
We study geometrical properties of maximal curves having classical Weierstrass gaps.