Add to ORKGPreviously we have proposed a new method of transforming quotients into integer reciprocals in the Machin-like formulas for $\pi$. As a further development, here we show how to generate a multi-term Machin-like formula for $\pi$ with a reduced Lehmer measure. The Mathematica codes validating these results are presented.Comment: 22 page
We will introduce a quantity which measures the singularity of a plurisubharmonic function phi relat...
One of the important research subjects in the study of multiple zeta functions is to clarify the lin...
We present an explicit formula for the determinant on the Metzler matrix of a digraph $D$. Furthermo...
In this paper we present a two-term Machin-like formula for pi \[\frac{\pi}{4} = 2^{k - 1}\arctan\le...
The file 'u2.txt' contains the computed value of the rational number u2 at k = 27 and u1 = 85445659 ...
The inverse tangent function can be used to approximate pi. When approximating pi, the convergence o...
The note generalizes a well-known formula for pi/2 named after the English mathematician John Wallis...
textabstractIn this paper we give a short novel proof of the well-known Lagrange multiplier rule, d...
International audienceThe present work proposes an attack of the Conjecture of Lehmer by the dynamic...
We constructed a multi-parametric deformation of the Brauer algebra representation related with the ...
summary:The paper continues our studies released under the same title [Andres, J., Kubáček, L., Mac...
AbstractMahler defined the measure of a polynomial in several variables to be the geometric mean of ...
We first construct a counterexample of a generic quadratic submanifold of codimension $5$ in $\Bbb C...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
summary:For $1\le c\le p-1$, let $E_1,E_2,\dots ,E_m$ be fixed numbers of the set $\{0,1\}$, and let...
We will introduce a quantity which measures the singularity of a plurisubharmonic function phi relat...
One of the important research subjects in the study of multiple zeta functions is to clarify the lin...
We present an explicit formula for the determinant on the Metzler matrix of a digraph $D$. Furthermo...
In this paper we present a two-term Machin-like formula for pi \[\frac{\pi}{4} = 2^{k - 1}\arctan\le...
The file 'u2.txt' contains the computed value of the rational number u2 at k = 27 and u1 = 85445659 ...
The inverse tangent function can be used to approximate pi. When approximating pi, the convergence o...
The note generalizes a well-known formula for pi/2 named after the English mathematician John Wallis...
textabstractIn this paper we give a short novel proof of the well-known Lagrange multiplier rule, d...
International audienceThe present work proposes an attack of the Conjecture of Lehmer by the dynamic...
We constructed a multi-parametric deformation of the Brauer algebra representation related with the ...
summary:The paper continues our studies released under the same title [Andres, J., Kubáček, L., Mac...
AbstractMahler defined the measure of a polynomial in several variables to be the geometric mean of ...
We first construct a counterexample of a generic quadratic submanifold of codimension $5$ in $\Bbb C...
Mahler\u27s measure of polynomials in one variable with complex coefficients is a function measuring...
summary:For $1\le c\le p-1$, let $E_1,E_2,\dots ,E_m$ be fixed numbers of the set $\{0,1\}$, and let...
We will introduce a quantity which measures the singularity of a plurisubharmonic function phi relat...
One of the important research subjects in the study of multiple zeta functions is to clarify the lin...
We present an explicit formula for the determinant on the Metzler matrix of a digraph $D$. Furthermo...