Add to ORKGThe paper proves results of linear independence over the ratonals, for values of G-functions at algebraic points
AbstractLet ψ(x) denote the digamma function. We study the linear independence of ψ(x) at rational a...
Hilbert functions developed from classical mathematical concepts. In algebraic geometry, the coeffic...
We prove the linear independence of the members of a large class of L-functions defined axiomaticall...
The paper proves results of linear independence over the ratonals, for values of G-functions at alge...
SIGLEAvailable from TIB Hannover: RR 1606(98-15) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - ...
International audienceWe develop a new method for proving algebraic independence of $G$-functions. O...
International audienceWe develop a new method for proving algebraic independence of G-functions. Our...
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
We consider a $G$-function $F(z)=\sum_{k=0}^{\infty} A_k z^k \in \mathbb{K}[[z]]$, where $\mathbb{K}...
A very rich interplay between arithmetic, geometry, transcendence and combinatorics arises in the st...
The development of new methods for the algebraic property investigation of linear differential equat...
There the paper has been devoted to study the arithmetic properties of E- and G-functions in rationa...
International audienceGiven any non-polynomial $G$-function $F(z)=\sum_{k=0}^\infty A_k z^k$ of radi...
In 1955 A.B. Shidlovski's general theorems were published. They allow us to reduce the problem of al...
AbstractLet ψ(x) denote the digamma function. We study the linear independence of ψ(x) at rational a...
Hilbert functions developed from classical mathematical concepts. In algebraic geometry, the coeffic...
We prove the linear independence of the members of a large class of L-functions defined axiomaticall...
The paper proves results of linear independence over the ratonals, for values of G-functions at alge...
SIGLEAvailable from TIB Hannover: RR 1606(98-15) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - ...
International audienceWe develop a new method for proving algebraic independence of $G$-functions. O...
International audienceWe develop a new method for proving algebraic independence of G-functions. Our...
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
We consider a $G$-function $F(z)=\sum_{k=0}^{\infty} A_k z^k \in \mathbb{K}[[z]]$, where $\mathbb{K}...
A very rich interplay between arithmetic, geometry, transcendence and combinatorics arises in the st...
The development of new methods for the algebraic property investigation of linear differential equat...
There the paper has been devoted to study the arithmetic properties of E- and G-functions in rationa...
International audienceGiven any non-polynomial $G$-function $F(z)=\sum_{k=0}^\infty A_k z^k$ of radi...
In 1955 A.B. Shidlovski's general theorems were published. They allow us to reduce the problem of al...
AbstractLet ψ(x) denote the digamma function. We study the linear independence of ψ(x) at rational a...
Hilbert functions developed from classical mathematical concepts. In algebraic geometry, the coeffic...
We prove the linear independence of the members of a large class of L-functions defined axiomaticall...