Multiloop Calculations: towards R at Order alpha_s^4

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We discuss recent developments in multiloop calculations aiming eventually in computing the total cross section for e^+e^- annihilation into hadrons in order alpha_s^4.
Comments: 5 pages, presented at the 7-th International Symposium on Radiative Corrections, Shonan Village (Japan), October 2005. The complete paper is also available via the www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/

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