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Classical Theory of Arithmetic Functions

This volume focuses on the classical theory of number-theoretic functions emphasizing algebraic and multiplicative techniques. It contains;

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Arithmetic Geometry over Global Function Fields

. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough;

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Modular Forms and Special Cycles on Shimura Curves. (AM-161)

intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic;

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Potential Theory and Dynamics on the Berkovich Projective Line

analytic spaces and to potential theory and rational iteration on the Berkovich line, the book contains applications to arithmetic geometry and;

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London Mathematical Society Lecture Note Series

the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly;

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Arithmetic Tales

This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.Extensively;

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Zeta Functions Of Reductive Groups And Their Zeros

. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the analytic one, from;

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Arithmetic Differential Equations

is an arithmetic analog of the theory of ordinary differential equations, where functions are replaced by integer numbers, the derivative;

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Functional Interpretations

This book gives a detailed treatment of functional interpretations of arithmetic, analysis, and set theory. The subject goes back to;

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An Invitation To Algebraic Numbers And Algebraic Functions

The author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions which both in its conception;

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Duality in Analytic Number Theory

philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its;

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Duality in Analytic Number Theory

philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its;

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Principia Mathematica - Volume Two

, And The Multiplication And Exponentiation Of Relations - Arithmetic And Relation-Numbers - Part V -SERIES - General Theory Of Series - On;

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The Arithmetic of Dynamical Systems

This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the;

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Classical and Quantum Models and Arithmetic Problems

.. . and much more! Classical and Quantum Models and Arithmetic Problems is certainly a major source of information, advancing the studies;

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Classical and Quantum Models and Arithmetic Problems

.. . and much more! Classical and Quantum Models and Arithmetic Problems is certainly a major source of information, advancing the studies;

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Geometry, Algebra, Number Theory, and Their Information Technology Applications

-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties;

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Arithmetic Geometry

For thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought;

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Elementary Theory of L-functions and Eisenstein Series

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area;

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Analytic Methods in Arithmetic Geometry

, Tucson, AZ. In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory;

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Algebraic And Arithmetic Structures Of Moduli Spaces (Sapporo 2007)

are discussed in the articles are diverse in nature such as class field theory, zeta functions, moduli of arithmetic vector bundles, moduli;

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Partition Functions and Automorphic Forms

functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic;

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Partition Functions and Automorphic Forms

functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic;

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Basic Structures of Function Field Arithmetic

area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical;

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Eisenstein Series and Applications

Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L;

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Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions

differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact;

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Functional Form And Utility

This book presents a review of classical consumer demand theory, emphasizing the form of utility and demand functions. The theory;

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