Short answer: they are for holding the rear ring in place while offering the ability to center the scope's line of sight with the line of the bore.
Long answer: Many years ago, scopes came without windage or elevation turrets, and many acope mounting systems were designed to both mount the scope solidly and allow adjustment of the scope for sighting purposes. These mounts had both elevation and windage adjustments built into the bases. A few were very popular and well made, others not so much. As scopes developed further, and elevation/windage adjustments became part of the scope, the elevation adjustment was dropped as superfluous, and the windage adjustments were retained, as they were an integral part of the mounting system as well as the windage adjustment screws. Over the years, other systems have tried to supplant the dovetail front/screws rear system, such as the Beuhler system, ConeTrol system, the Dual Dovetail system,, several QD systems, as well as the Weaver and Picatinny systems, but the design originally patented by Redfield has stuck around, now licensed to several other companies.