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Algebraic geometry --- Functions, Zeta. --- Geometry, Algebraic. --- Functions, Zeta --- Geometry, Algebraic --- 512.75 --- Geometry --- Zeta functions --- 512.75 Arithmetic problems of algebraic varieties. Rationality questions. Zeta-functions --- Arithmetic problems of algebraic varieties. Rationality questions. Zeta-functions --- Arithmetical algebraic geometry --- Géométrie algébrique arithmétique --- Géométrie algébrique --- Géométrie algébrique arithmétique. --- Géométrie algébrique --- Fonctions zêta --- Géométrie algébrique arithmétique.
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Functional analysis --- Number theory --- p-adic analysis --- p-adic numbers --- Functions, Zeta --- #WWIS:d.d. Prof. L. Bouckaert/ALTO --- 511 --- Zeta functions --- Numbers, p-adic --- Analysis, p-adic --- Algebra --- Calculus --- Geometry, Algebraic --- Functions, Zeta. --- p-adic analysis. --- p-adic numbers. --- 511 Number theory --- P-adic analysis. --- P-adic numbers.
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Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.
Group theory. --- Functions, Zeta. --- Rings (Algebra) --- Noncommutative algebras. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Algebras, Noncommutative --- Non-commutative algebras --- Algebraic rings --- Ring theory --- Algebraic fields --- Zeta functions --- Rings (Algebra). --- Number theory. --- Algebra. --- Group Theory and Generalizations. --- Number Theory. --- Non-associative Rings and Algebras. --- Mathematics --- Mathematical analysis --- Number study --- Numbers, Theory of --- Functions, Zeta --- Group theory --- Noncommutative algebras --- 512.54 --- 512.54 Groups. Group theory --- Groups. Group theory --- Nonassociative rings.
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Posn(R) and Eisenstein Series provides an introduction, requiring minimal prerequisites, to the analysis on symmetric spaces of positive definite real matrices as well as quotients of this space by the unimodular group of integral matrices. The approach is presented in very classical terms and includes material on special functions, notably gamma and Bessel functions, and focuses on certain mathematical aspects of Eisenstein series.
Functions, Zeta. --- Functions, Theta. --- Eisenstein series. --- Fonctions zêta --- Fonctions thêta --- Eisenstein, Séries d' --- Functions, Zeta --- Functions, Theta --- Eisenstein series --- Operations Research --- Mathematical Theory --- Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Series, Eisenstein --- Theta functions --- Zeta functions --- Mathematics. --- Algebraic geometry. --- Harmonic analysis. --- Functions of complex variables. --- Abstract Harmonic Analysis. --- Algebraic Geometry. --- Several Complex Variables and Analytic Spaces. --- Complex variables --- Elliptic functions --- Functions of real variables --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Algebraic geometry --- Geometry --- Math --- Science --- Geometry, algebraic. --- Differential equations, partial. --- Partial differential equations --- Automorphic functions
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Arithmetical algebraic geometry --- 512.75 --- Algebraic geometry, Arithmetical --- Arithmetic algebraic geometry --- Diophantine geometry --- Geometry, Arithmetical algebraic --- Geometry, Diophantine --- Number theory --- Arithmetic problems of algebraic varieties. Rationality questions. Zeta-functions --- Arithmetical algebraic geometry. --- 512.75 Arithmetic problems of algebraic varieties. Rationality questions. Zeta-functions
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integralen --- laurent --- Fourier --- gamma --- legendre --- elliptische functies --- complex --- holomorf --- residu --- zeta --- bessel --- theta --- transcendente functies --- Riemann --- Series, Infinite --- Functions --- Harmonic analysis --- Mathematical analysis --- 517.1 --- 517.1 Introduction to analysis --- Introduction to analysis
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Number theory --- Numbers, Prime --- Nombres premiers --- 511.345 --- 511.213 --- 511.333 --- Prime numbers --- Numbers, Natural --- Additive problems with prime numbers --- Elementary prime number theory --- Distribution of primes and divisors in number fields --- 511.333 Distribution of primes and divisors in number fields --- 511.213 Elementary prime number theory --- 511.345 Additive problems with prime numbers --- Nombres, Théories des --- Fonctions speciales --- Fonctions zeta
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Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.
Riemann surfaces --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Surfaces, Riemann --- Functions --- Congresses --- Differential geometry. Global analysis --- RIEMANN SURFACES --- congresses --- Congresses. --- MATHEMATICS / Calculus. --- Affine space. --- Algebraic function field. --- Algebraic structure. --- Analytic continuation. --- Analytic function. --- Analytic set. --- Automorphic form. --- Automorphic function. --- Automorphism. --- Beltrami equation. --- Bernhard Riemann. --- Boundary (topology). --- Canonical basis. --- Cartesian product. --- Clifford's theorem. --- Cohomology. --- Commutative diagram. --- Commutative property. --- Complex multiplication. --- Conformal geometry. --- Conformal map. --- Coset. --- Degeneracy (mathematics). --- Diagram (category theory). --- Differential geometry of surfaces. --- Dimension (vector space). --- Dirichlet boundary condition. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Eisenstein series. --- Euclidean space. --- Existential quantification. --- Explicit formulae (L-function). --- Exterior (topology). --- Finsler manifold. --- Fourier series. --- Fuchsian group. --- Function (mathematics). --- Generating set of a group. --- Group (mathematics). --- Hilbert space. --- Holomorphic function. --- Homeomorphism. --- Homology (mathematics). --- Homotopy. --- Hyperbolic geometry. --- Hyperbolic group. --- Identity matrix. --- Infimum and supremum. --- Inner automorphism. --- Intersection (set theory). --- Intersection number (graph theory). --- Isometry. --- Isomorphism class. --- Isomorphism theorem. --- Kleinian group. --- Limit point. --- Limit set. --- Linear map. --- Lorentz group. --- Mapping class group. --- Mathematical induction. --- Mathematics. --- Matrix (mathematics). --- Matrix multiplication. --- Measure (mathematics). --- Meromorphic function. --- Metric space. --- Modular group. --- Möbius transformation. --- Number theory. --- Osgood curve. --- Parity (mathematics). --- Partial isometry. --- Poisson summation formula. --- Pole (complex analysis). --- Projective space. --- Quadratic differential. --- Quadratic form. --- Quasiconformal mapping. --- Quotient space (linear algebra). --- Quotient space (topology). --- Riemann mapping theorem. --- Riemann sphere. --- Riemann surface. --- Riemann zeta function. --- Scalar multiplication. --- Scientific notation. --- Selberg trace formula. --- Series expansion. --- Sign (mathematics). --- Square-integrable function. --- Subgroup. --- Teichmüller space. --- Theorem. --- Topological manifold. --- Topological space. --- Uniformization. --- Unit disk. --- Variable (mathematics). --- Riemann, Surfaces de --- RIEMANN SURFACES - congresses --- Fonctions d'une variable complexe --- Surfaces de riemann
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