Linear independence measures for values of Heine series.
Linear independence of certain Lambert and allied series
Linear independence of continued fractions
The main result of this paper is a criterion for linear independence of continued fractions over the rational numbers. The proof is based on their special properties.
Linear independence of Hurwitz zeta values and a theorem of Baker-Birch-Wirsing over number fields
Linear independence of linear forms in polylogarithms
For , , , let be the -th polylogarithm of . We prove that for any non-zero algebraic number such that , the -vector space spanned by has infinite dimension. This result extends a previous one by Rivoal for rational . The main tool is a method introduced by Fischler and Rivoal, which shows the coefficients of the polylogarithms in the relevant series to be the unique solution of a suitable Padé approximation problem.
Linear independence of 'logarithms' in linear varieties
Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson
Let be a nonconstant polynomial with integer coefficients and without zeros at the non–negative integers. Essentially with the method of Hermite, a new proof is given on linear independence of values at rational points of the function
Linear polynomials in numbers of bounded degree
Lineare Gleichverteilung.
Linearformen in Logarithmen von U-Zahlen mit ganzzahligen Koeffizienten.
Linearformen mit algebraischen Koeffizienten.
Local heights on Galois covers of the projective line
Location of approximations of a Markoff theorem.
Logarithmic forms and group varieties.
Lower and upper bounds for the splitting of separatrices of a pendulum under a fast quasiperiodic forcing.
Lower bounds for simultaneous Diophantine approximation constants
After a brief exposition of the state-of-art of research on the (Euclidean) simultaneous Diophantine approximation constants , new lower bounds are deduced for and .
Lower bounds for the greatest prime factor of
Lower bounds for the number of integral polynomials with given order of discriminants
Lₚ-deviations from zero of polynomials with integral coefficients
Lucas balancing numbers
A positive is called a balancing number if We prove that there is no balancing number which is a term of the Lucas sequence.