Hausdorff dimension of sets arising in number theory.- Applications of Padé approximations to diophantine inequalities in values of G-functions.- Applications of Padé approximations to the Grothendieck conjecture on linear differential equations.- Klein's paradox, the icosahedron, and ring class fields.- Transcendental numbers and partial differential equations.- A classical approach to a well-known spectral correspondence on quaternion groups.- On surfaces associated with an indefinite ternary lattice.- Modular integrals on ?o(N) and dirichlet series with functional equations.- Trigonometric polynomials and sums of squares.- On the number of points on certain curves and an uncertainty principle.- The brauer group of the product of two curves over a finite field.
Inhaltsverzeichnis
Hausdorff dimension of sets arising in number theory.- Applications of Padé approximations to diophantine inequalities in values of G-functions.- Applications of Padé approximations to the Grothendieck conjecture on linear differential equations.- Klein's paradox, the icosahedron, and ring class fields.- Transcendental numbers and partial differential equations.- A classical approach to a well-known spectral correspondence on quaternion groups.- On surfaces associated with an indefinite ternary lattice.- Modular integrals on ?o(N) and dirichlet series with functional equations.- Trigonometric polynomials and sums of squares.- On the number of points on certain curves and an uncertainty principle.- The brauer group of the product of two curves over a finite field.
Klappentext
This is a volume of papers presented at the New York Number Theory Seminar. Since 1982, the Seminar has been meeting weekly during the academic year at the Graduate School and University Center of the City University of New York. This collection of papers covers a wide area of number theory, particularly modular functions, algebraic and diophantine geometry, and computational number theory.
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