>From Trac#20523 <https://trac.sagemath.org/ticket/20523> :

Replying to [comment:9 tscrim]:
> I get a failure trying to install this on Cygwin32 with
> {{{
> checking for lzma_version_number in -llzma... no
> configure: error: "liblzma library and headers are required"
> Error configuring R.
> }}}
> which is the same failure I had on #20190.

>From the R 3.3.0 release notes 
<https://cran.r-project.org/doc/manuals/r-release/NEWS.html> :
 :

The previously included versions of zlib, bzip2, xz and PCRE have been 
> removed, so suitable external (usually system) versions are required (see 
> the ‘R Installation and Administration’ manual).
>

So it's either :

   - add xz-tools (né lzma-utils) to the list of prerequisites for Sage (i. 
   e. relying on system's liblzma) ;
   - adding xz-tools (at least the lzma library) to sage (cluttering it 
   with yet one more library to maintain) ;
   - or relying on system's R through an interface that remains to be 
   written...


Pick your poison...

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