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Zeta Functions of Graphs: A Stroll through the Garden (Cambridge Studies in Advanced Mathematics) by Audrey Terras

Posted By: Free butterfly
Zeta Functions of Graphs: A Stroll through the Garden (Cambridge Studies in Advanced Mathematics) by Audrey Terras

Zeta Functions of Graphs: A Stroll through the Garden (Cambridge Studies in Advanced Mathematics) by Audrey Terras
English | Dec 27, 2010 | ISBN: 0521113679 | 253 Pages | PDF | 2 MB

Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs.