Nicholas M. Katz – författare
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25 produkter
Rigid Local Systems
Häftad, 1995
990 kr
Lägg i varukorg
Riemann 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 systems (of local holomorphic solutions) to which they gave rise. His first application was to study the …
Arithmetic Moduli of Elliptic Curves
Av Nicholas M. Katz, Barry Mazur
Häftad, 1985
1401 kr
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This 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" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapoport. In the …
Gauss Sums, Kloosterman Sums, and Monodromy Groups
Häftad, 1988
990 kr
Lägg i varukorg
The 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 work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, …
Exponential Sums and Differential Equations
Häftad, 1990
1136 kr
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This 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 equations in one complex variable with polynomial coefficients, and the theory of one parameter families of …
Twisted L-Functions and Monodromy
Häftad, 2002
990 kr
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For 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 the work of Wiles and Taylor-Wiles in 1994. Nonetheless, there remain many fundamental questions where …
Moments, Monodromy, and Perversity
A Diophantine Perspective
Häftad, 2005
1401 kr
Lägg i varukorg
It 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" algebro-geometric families of character sums over finite fields (and of their associated L-functions). …
Convolution and Equidistribution
Sato-Tate Theorems for Finite-Field Mellin Transforms
Häftad, 2012
990 kr
Lägg i varukorg
Convolution 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. The book presents fundamentally important results and a plethora of examples, opening up new …
Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups
Av Pham Huu Tiep, Nicholas M. Katz
E-bok, 2025
884 kr
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An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fields Exponential sums have been of great interest ever since Gauss, and their importance in analytic number theory goes back a century to Kloosterman. Grothendieck’s creation of …
Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups
Av Nicholas M. Katz, Pham Huu Tiep
Häftad, 2025
648 kr
Lägg i varukorg
An 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 importance in analytic number theory goes back a century to Kloosterman. Grothendieck’s creation of …
Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups
Av Nicholas M. Katz, Pham Huu Tiep
Inbunden, 2025
2483 kr
Lägg i varukorg
An 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 importance in analytic number theory goes back a century to Kloosterman. Grothendieck’s creation of …
Grothendieck Festschrift, Volume I
A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Av Pierre Cartier, Luc Illusie m. fl.
Häftad, 2006
1422 kr
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Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. …
Grothendieck Festschrift, Volume II
A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Av Pierre Cartier, Luc Illusie m. fl.
Häftad, 2006
1422 kr
Lägg i varukorg
Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. …
Grothendieck Festschrift, Volume III
A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Av Pierre Cartier, Luc Illusie m. fl.
Häftad, 2006
1422 kr
Lägg i varukorg
Alexander Grothendieck’s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world’s greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. …
Grothendieck Festschrift, Volume I
A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Av Kenneth A. Ribet, Yuri I. Manin m. fl.
E-bok, 2009
1785 kr
Lägg i varukorg
Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. …
Grothendieck Festschrift, Volume II
A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Av Kenneth A. Ribet, Yuri I. Manin m. fl.
E-bok, 2007
1785 kr
Lägg i varukorg
Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. …
Grothendieck Festschrift, Volume III
A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
Av Kenneth A. Ribet, Yuri I. Manin m. fl.
E-bok, 2007
1785 kr
Lägg i varukorg
Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational to the subject. …
Twisted L-Functions and Monodromy
E-bok, 2009
1312 kr
Lägg i varukorg
For 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 the work of Wiles and Taylor-Wiles in 1994. Nonetheless, there remain many fundamental questions …
Moments, Monodromy, and Perversity
A Diophantine Perspective
E-bok, 2005
1968 kr
Lägg i varukorg
It 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" algebro-geometric families of character sums over finite fields (and of their associated L-functions). …
Convolution and Equidistribution
Sato-Tate Theorems for Finite-Field Mellin Transforms
E-bok, 2012
1355 kr
Lägg i varukorg
Convolution 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. The book presents fundamentally important results and a plethora of examples, opening up new …
Arithmetic Moduli of Elliptic Curves
Av Barry Mazur, Nicholas M. Katz
E-bok, 2016
1926 kr
Lägg i varukorg
This 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" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapoport. In the …
Gauss Sums, Kloosterman Sums, and Monodromy Groups
E-bok, 2016
1326 kr
Lägg i varukorg
The 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 work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, …
Exponential Sums and Differential Equations
E-bok, 2016
1569 kr
Lägg i varukorg
This 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 equations in one complex variable with polynomial coefficients, and the theory of one parameter families of …
Rigid Local Systems
E-bok, 2016
1355 kr
Lägg i varukorg
Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study n th order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise. His first application was to study …
Random Matrices, Frobenius Eigenvalues, and Monodromy
Av Nicholas M. Katz, Peter Sarnak
Häftad, 1999
1200 kr
Lägg i varukorg
The 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. The authors draw upon many disparate areas of mathematics from algebraic geometry, moduli spaces, …
Convolution and Equidistribution
Sato-Tate Theorems for Finite-Field Mellin Transforms
Inbunden, 2012
1910 kr
Tillfälligt slut
Convolution 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. The book presents fundamentally important results and a plethora of examples, opening up new …
