Beilinson: Higher regulators of modular curves
Beilinson: Notes on absolute Hodge cohomology
Jannsen in the Motives volumes
http://londonnumbertheory.files.wordpress.com/2010/01/ihes1.pdf Kim slides on special values conjectures
http://mathoverflow.net/questions/2703/beilinson-conjectures maybe also other MO qs
The Hilbert-Polya strategy and height pairings by Deninger
A survey: Ramakrishnan: Regulators, algebraic cycles, and values of L-functions.
Rapoport, Schappacher, Schneider: book.
Nekovar in the Motives volume, for a motivic reformulation.
Concrete examples by de Jeu, Dokchitser, Zagier: Numerical verification of…
See also the Bloch-Kato conjecture.
A brief note of Friedlander
Springer Online Reference Works
Soule: Regulateurs?
Scholl and Deninger survey
Scholbach thesis
Bloch: Algebraic cycles and the Beilinson conjectures (CONM58)
Scholl: Remarks on special values of L-functions
Ramakrishnan in CONM83: Regulators, algebraic cycles, and value of L-functions
Schneider in RSS
The whole RSS volume.
Maybe Jannsen: LNM1400
Deligne: Valeurs de fonctions L etc, also English translation, see Ghate at TIFR.
All refs in Scholbach and Kim
Other Motives vol articles?
Huber - on realizations, and maybe on the ideas of Beilinson??
Burgos book
Feliu thesis
arXiv:0909.3002 On the regulator of Fermat motives and generalized hypergeometric functions from arXiv Front: math.AG by Noriyuki Otsubo We calculate the Beilinson regulators of motives associated to Fermat curves and express them by special values of generalized hypergeometric functions. As a result, we obtain surjectivity results of the regulator, which support the Beilinson conjecture on special values of L-functions.
nLab page on Beilinson conjectures REFS