The Kepler K2 mission is conducting a search for exoplanets closer to Earth than was the case for the K1 mission (before technical problems). This allows the mission to do a more careful census of exoplanets around M-dwarf stars, as well as brighter stars.

 http://www.nature.com/news/rebooted-kepler-spacecraft-hauls-in-the-planets-1.19126

 One of the most surprising findings of the K2 results to date is the recognition that M-dwarf stars have an anomalously low abundance of exoplanets.  This appears to confirm previous preliminary findings of an unusually low incidence of exoplanets orbiting M-dwarf stars, and that it is the lowest mass M-dwarfs that have the most anomalously low exoplanet abundance.

 While these findings were clearly not anticipated by conventional astrophysics, they were specifically and definitively predicted by Discrete Scale Relativity (also referred to as the Self-Similar Cosmological Paradigm, or just Fractal Cosmology). In a paper submitted to arxiv.org in 2001 (long before the Kepler mission or other sufficient data for determining exoplanet abundances), it was predicted that M-dwarf stars would have an anomalously low incidence of exoplanets.  It was also specifically predicted that it would be the lowest mass M-dwarfs in the 0.10 solar mass to 0.25 solar mass range that would manifest the most anomalously low exoplanet abundances.

 The paper is available for free (24/7) at arxiv.org :

http://arxiv.org/abs/astro-ph/0102285 

Title: "Critical Test of the Self-Similar Cosmological Paradigm: Anomalously Few Planets Orbiting Low-Mass Red Dwarf Stars"

Author: R.L. Oldershaw

Published in:  New Advances In Physics, 3(2), 55-59, 2009

RLO

http://www3.amherst.edu/~rloldershaw