Strings, Fractal Membranes and Noncommutative Spacetimes In Search of the Riemann Zeros Strings, Fractal Membranes and Noncommutative Spacetimes

F o r a d d itio n a l in fo rm a tio n a n d u p d a te s o n th is b o o k , v isit In search o f the R iem ann z ero s : string s, fractal m em b ranes and no nco m m utativ e spacetim es / Michel L. Lapidus. p. cm. Includes b ib lio g raphical references. Cop ying and rep rinting. Indiv idual readers o f this pub licatio n, and no npro fi t lib raries acting fo r them , are perm itted to m ak e fair use o f the m aterial, such as to co py a chapter fo r use in teaching o r research. P erm issio n is g ranted to q uo te b rief passag es fro m this pub licatio n in rev iew s, pro v ided the custo m ary ack no w ledg m ent o f the so urce is g iv en. R epub licatio n, sy stem atic co py ing , o r m ultiple repro ductio n o f any m aterial in this pub licatio n is perm itted o nly under license fro m the A m erican Mathem atical S o ciety. R eq uests fo r such perm issio n sho uld b e addressed to the A cq uisitio ns D epartm ent, A m erican Mathem atical S o ciety , 2 0 1 C harles S treet, P ro v idence, R ho de Island 0 2 90 4-2 2 94 , U S A. R eq uests can also b e m ade b y e-m ail to [email protected]. c 2 0 0 8 b y the A m erican Mathem atical S o ciety. A ll rig hts reserv ed. T he A m erican Mathem atical S o ciety retains all rig hts ex cept tho se g ranted to the U nited S tates G o v ernm ent. P rinted in the U nited S tates o f A m erica. ∞ T he paper used in this b o o k is acid-free and falls w ithin the g uidelines estab lished to ensure perm anence and durab ility. V isit the A MS ho m e …