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Elliptic Curves. (MN-40), Volume 40

analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular;

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Elliptic Curves, Modular Forms and Their L-functions

} {8912332268928859588025535178967163570016480830}$. The theories of elliptic curves, modular forms, and $L$-functions are too vast to be covered in a single volume, and their proofs are;

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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the;

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Modular Forms and Functions

This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its;

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Harmonic Maass Forms and Mock Modular Forms

and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory;

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Introduction to Arithmetic Theory of Automorphic Functions

ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number;

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Elliptic Curves, Modular Forms and Iwasawa Theory

collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois;

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Advanced Topics in the Arithmetic of Elliptic Curves

modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Elliptic Curves

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;

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Complex Multiplication

of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the;

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Elliptic Curves, Hilbert Modular Forms And Galois Deformatio

of elliptic curves and their classification.;

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

Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both;

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Elliptic curves and functions

An introduction in the theory of elliptic functions and elliptic curves. Both are a priori different mathematical subjects. However, there;

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Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object;

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A Window into Zeta and Modular Physics

), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms;

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Window Into Zeta And Modular Physics

), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms;

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Ranks of Elliptic Curves and Random Matrix Theory

, statistical properties of families of elliptic curves and their associated L-functions and the emerging uses of random matrix theory in this field;

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Elliptic Functions

treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular;

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Twisted L-Functions and Monodromy. (AM-150), Volume 150

questions where we do not even know what sort of answers to expect. This book explores two of them: What is the average rank of elliptic curves, and;

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Number Theory Related to Modular Curves

of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian;

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Elliptic Curves and Big Galois Representations

The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a;

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Many Variations of Mahler Measures

novelties of the subject, especially the relation with elliptic curves, modular forms and special values of L-functions. Finally, the Appendix;

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Elliptic and Modular Functions from Gauss to Dedekind to Hecke

This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth;

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Number Theory With Applications to Cryptography

Congruences and their use in mock theta functions, Method of Iterative Sliding Window for Shorter Number of Operations in case of Modular;

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Partition Functions and Automorphic Forms

physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic;

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