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Random Matrices, Frobenius Eigenvalues, and Monodromy by Nicholas M. Katz 9781470475079
RRP: £85.00Booksplease Price: £81.75The main topic of this book is the deep relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups... -
Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups by Nicholas M. Katz 9780691272252
RRP: £62.00Booksplease Price: £49.59An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fieldsExponential sums have been of great interest ever since Gauss, and their... -
Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 by Nicholas M. Katz
RRP: £130.00Booksplease Price: £109.60This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova"... -
Rigid Local Systems. (AM-139), Volume 139 by Nicholas M. Katz 9780691011189
RRP: £92.00Booksplease Price: £74.71Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local... -
Twisted L-Functions and Monodromy. (AM-150), Volume 150 by Nicholas M. Katz 9780691091518
RRP: £92.00Booksplease Price: £74.71For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in this study, from Mordell's theorem in 1922 to... -
Exponential Sums and Differential Equations. (AM-124), Volume 124 by Nicholas M. Katz 9780691085999
RRP: £105.00Booksplease Price: £86.43This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential... -
Moments, Monodromy, and Perversity. (AM-159): A Diophantine Perspective. (AM-159) by Nicholas M. Katz 9780691123301
RRP: £130.00Booksplease Price: £109.60It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "pure"... -
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 by Nicholas M. Katz 9780691084336
RRP: £92.00Booksplease Price: £74.71The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's... -
Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) by Nicholas M. Katz 9780691153315
RRP: £92.00Booksplease Price: £74.71Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view... -
p-adic Numbers, p-adic Analysis, and Zeta-Functions by Neal Koblitz 9781461270140
Booksplease Price: £46.28Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did... -
p-adic Numbers, p-adic Analysis, and Zeta-Functions by Neal Koblitz 9780387960173
Booksplease Price: £65.96Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did...