Please cite the paper below for the miRNAmeConverter software itself.
Please also try to cite the miRBase database.

  Haunsberger, S.J., Connolly N.M.C., Prehn, J.H.M., (2016).
  miRNAmeConverter: an R/Bioconductor package for translating mature
  miRNA names to different miRBase versions. Bioinformatics. doi:
  10.1093/bioinformatics/btw660

A BibTeX entry for LaTeX users is

  @Article{,
    author = {Stefan J Haunsberger and Niamh M C Connolly and Jochen H M Prehn},
    title = {{miRNAmeConverter}: an R/Bioconductor package for translating mature miRNA names to different miRBase versions},
    journal = {Bioinformatics},
    year = {2016},
    doi = {10.1093/bioinformatics/btw660},
    url = {https://doi.org/10.1093/bioinformatics/btw660},
  }