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Arithmetic Geometry over Global Function Fields

of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this;

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Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic $K$-Theory

"We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties;

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Weil's Conjecture for Function Fields

Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts;

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Weil's Conjecture for Function Fields

Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts;

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The Local Langlands Conjecture for GL(2)

The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research;

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Basic Number Theory

theory. In fact it is by far the most complete treatment of the main theorems of algebraic number theory, including function fields over finite;

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The Bloch-Kato Conjecture for the Riemann Zeta Function

There are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one;

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Arithmetic of Diagonal Hypersurfaces over Finite Fields

over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines;

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Geometry and Topology of Manifolds

Hopf conjecture, and the Yau conjecture on the first eigenvalue of an embedded minimal hypersurface of the sphere. For the younger generation;

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New Trends In Geometric Function Theory And Applications - Proceedings Of The International Conference

After the positive settlement of Bieberbach's conjecture by Prof. Louis de Branges, there are new avenues open for researchers in the field;

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Riemann Hypothesis for Function Fields

Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non;

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The Riemann Hypothesis for Function Fields

Bombieri's proof of the Riemann Hypothesis for function fields, along with an explanation of the connections with Nevanlinna theory and non;

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The Novikov Conjecture

. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a;

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Algebraic Number Theory

This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade;

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Quantum Computational Number Theory

, elliptic curve arithmetic, conjecture and numerical verification. The author discusses quantum algorithms for solving the Integer Factorization;

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The Gross-Zagier Formula on Shimura Curves

abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and;

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The Gross-Zagier Formula on Shimura Curves

abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and;

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Fermat Equation over several fields and other historical mathematical conjectures

of my goal to try to explain what seemed difficult as something easy, for a few years I began to investigate in several mathematics areas about;

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Mathematical Sciences Research Institute Publications

conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which;

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Mathematical Sciences Research Institute Publications

conjecture for function fields in positive characteristic. In some cases (such as the latter) it is the most abstract aspects of model theory which;

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London Mathematical Society Lecture Note Series

Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the;

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Etale Cohomology and the Weil Conjecture

of the Weil conjec tures. For the convenience of the speakers the present authors - who were also the organisers of that meeting - prepared;

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