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Partial differential equations --- Jacobi forms --- Forms, Modular --- Formes modulaires
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Nombres, Théories des --- Formes modulaires --- Number theory. --- Forms, Modular --- Formes quadratiques --- Invariants --- Invariants
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Nombres, Théorie des --- Formes modulaires --- Number theory --- Forms, Modular --- Nombres, Théorie des
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This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).
Geometric quantization. --- Forms, Modular. --- Formes [Modulaires] --- Forms [Modular ] --- Geometric quantization --- Geometry (quantum) --- Quantization (geometric) --- Quantum geometry --- Vormen [Modulaire ] --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra
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Number theory --- Nombres, Théorie des --- Dirichlet series --- Dirichlet, Séries de --- Formes modulaires --- Forms, Modular --- Nombres, Théorie des --- Dirichlet, Séries de
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Number theory --- Formes [Modulaires] --- Forms [Modular ] --- Series [Theta ] --- Theta [Reeksen van ] --- Theta [Séries de ] --- Vormen [Modulaire ] --- Forms, Modular. --- Series, Theta. --- 51 --- Forms, Modular --- Series, Theta --- Theta series --- Functions, Theta --- Modular forms --- Forms (Mathematics) --- Mathematics --- 51 Mathematics
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Forms, Modular. --- Forms (Mathematics) --- Cohomology operations. --- Algebraic topology. --- Formes modulaires --- Formes (Mathématiques) --- Opérations cohomologiques --- Topologie algébrique --- Forms, modular --- Forms (mathematics) --- Cohomology operations --- Algebraic topology --- Formes (Mathématiques) --- Opérations cohomologiques --- Topologie algébrique
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Forms, Modular. --- Forms, Modular --- 511.334 --- Modular forms --- Modular and quadratic forms --- 511.334 Modular and quadratic forms --- Forms (Mathematics) --- Algebraic geometry --- Nombres, Théorie des --- Formes modulaires --- Number theory --- Nombres, Théorie des
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Number theory --- Curves, Elliptic --- Forms, Modular --- Courbes elliptiques --- Formes modulaires --- Théorie des nombres --- Number Theory --- 511.33 --- Number study --- Numbers, Theory of --- Algebra --- Modular forms --- Forms (Mathematics) --- Elliptic curves --- Curves, Algebraic --- Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- 511.33 Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Théorie des nombres --- Analytical and multiplicative number theory. Asymptotics. Sieves etc
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