8 citations · 9 across the 3 of their papers we have counts for
5 papers
Padé approximations of a class of G-functions and some applications
Keijo Väänänen
We construct explicitly Padé approximations of the second kind for a special class of G-functions. These are then applied to prove a Baker-type lower bound for linear forms in the…
On Padé approximations and global relations of some Euler-type series
Keijo Väänänen
We shall consider some special generalizations of Euler's factorial series. First we construct Padé approximations of the second kind for these series. Then these approximations ar…
Algebraic independence of certain Mahler numbers
Keijo Väänänen
In this note we prove algebraic independence results for the values of a special class of Mahler functions. In particular, the generating functions of Thue-Morse, regular paperfold…
On the degree of a Kloosterman sum as an algebraic integer
Keijo Kononen, Marko Rinta-aho, Keijo Väänänen
The maximal degree over rational numbers that an n-dimensinonal Kloosterman sum defined over a finite field of characteristic p can achieve is known to be (p-1)/d where d=gcd(p-1,n…
Irreducible polynomials with prescribed trace and restricted norm
K. Kononen, M. Moisio, M. Rinta-aho +1
Let GF(q), q=p^r, be a finite field with a primitive element g. In this paper we use exponential sums and Jacobi sums to compute the number of the irreducible polynomials of degree…