Estimate the number of stars with present-day luminosity function

[2203312]

Folks,

Please don't flame me for this as it is probably already answered somewhere.
How does one estimate the number of stars in a 500pc^3 which have a range of 10^-2 to 0.1 Lsun?

I am not a maths head, so simple answer that would have the formula would be great.

Thanks

 

[Chronos]

This survey of low mass stars by Bochanski is among the more recent ones - http://arxiv.org/abs/1004.4002. Bochanski reports 15.37 million stars in a volume of 4x4x4 kpc^3 in the range of 0.1 - 0.8 Msolar. That corresponds to a luminosity range of about .003 Lsolar to .458 Lsolar. I'm not aware of any formula for calculating these numbers.