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Number theory --- Number theory. --- Number study --- Numbers, Theory of --- Algebra
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Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of G
Number theory --- Number theory. --- Algebra. --- Mathematics --- Mathematical analysis --- Number study --- Numbers, Theory of --- Algebra
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Number theory --- 511.2 --- Number study --- Numbers, Theory of --- Algebra --- Elementary number theory --- 511.2 Elementary number theory
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Number theory --- -Number study --- Numbers, Theory of --- Algebra --- Congresses --- -Congresses --- Nombres, Théorie des --- Nombres, Théorie des. --- Nombres, Théorie des.
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Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaf-theoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a self-contained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students.
Category theory. Homological algebra --- Logarithmic functions. --- Logarithmic functions --- Mathematical Theory --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra
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The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.
Number theory --- Discontinuous groups --- Functions, Theta --- Automorphic forms --- Algebra --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of
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Number theory --- Congresses. --- 51 --- -Number study --- Numbers, Theory of --- Algebra --- Mathematics --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Number study --- Number theory - Congresses.
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Number theory --- Number theory. --- Computer science --- Mathematics --- Number study --- Numbers, Theory of --- Algebra --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing
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Operational research. Game theory --- Number theory --- Game theory --- Théorie des jeux --- Théorie des nombres --- NUMBERS, THEORY of --- 519.8 --- Number study --- Numbers, Theory of --- Algebra --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Operational research --- Game theory. --- Number theory. --- 519.8 Operational research --- Théorie des jeux --- Théorie des nombres --- Groupes, Théorie des --- Group theory --- Groupes, Théorie des --- Nombres réels
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Differential geometry. Global analysis --- Number theory --- Number theory. --- Algebraic geometry. --- Differential geometry. --- Number Theory. --- Algebraic Geometry. --- Differential Geometry. --- Differential geometry --- Algebraic geometry --- Geometry --- Number study --- Numbers, Theory of --- Algebra
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