Zeta Functions of Graphs (English, Audrey Terras)
Cambridge University Press

Zeta Functions of Graphs (English, Audrey Terras)

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Book Details

ISBN-139780521113670
ISBN-100521113679

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About the Book

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. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier grap…

ISBN: 9780521113670

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