Massluminosity relation and initial mass function at the faint end of the main sequence  Is there a real deficit of very lowmass stars?
Abstract
This paper is devoted to stress the importance of a very good knowledge of the massluminosity (ML) relation when trying to derive information on the initial mass function from the luminosity function (LF). As the LF depends on the derivative of the ML relation, it may vary dramatically as a consequence of small variations in the shape of the ML relation. This problem is illustrated by comparing the theoretical LFs obtained for the low end of the main sequence adopting a semiempirical ML relation, and a theoretical one recently computed by the authors, respectively. The two LFs differ by at least a factor 10 at V = 18 mag.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 October 1983
 Bibcode:
 1983A&A...127..149D
 Keywords:

 Main Sequence Stars;
 Mass To Light Ratios;
 Stellar Luminosity;
 Stellar Mass;
 Binary Stars;
 Functions (Mathematics);
 Interstellar Magnetic Fields;
 Astrophysics