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Number theory, analysis and geometry : in memory of Serge Lang

Author: D Goldfeld
Publisher: New York, NY : Springer, ©2012.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, ¡and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: D Goldfeld
ISBN: 9781461412601 1461412609
OCLC Number: 770406641
Description: 1 online resource (xx, 704 pages)
Contents: -Preface.-Introduction (Tate).-Publications by Serge Lang.-Raynaud's Group-Scheme and Reduction of Converings (Abramovich).-The Modular Degree, Congruence Primes, and Multiplicity One (Agashe, Ribet, Stein).-Le theoreme de Siegel-Shidlovsky reviste (Bertrand).-Some Aspects of Harmonic Analysis on So3(Z[i])\So3(C)/SO(3), and SO(2,1)z\SO(2,1)/SO(2) (Brenner, Sinton).-Differential Characters on Curves (Buium).-Weyl Group Multpile Dirichlet Series of Type A_2 (Chinta, Gunnels).-Remarks on the Geometry of the Diffeomorphism Group of the Circle (Constantin, Kolev).-Harmonic Representatives For Cuspidal Cohomology Classes (Dodziuk, McGowan, Perry).-About the ABC Conjecture and an Alternative (van Frenkenhuijsen).-Unifying Themes Suggested by Belyi's Theorem (Goldring).-On the Local Divisibility of Heegner Points (Gross, Parson).-Uniform Estimates for Primitive Divisors in Elliptic Divisibility Sequences (Ingram, Silverman).-The Heat Kernel, Theta Inversion and Zetas on Gamma\G/K (Jorgenson, Lang).-Applications of Heat Kernels on Abelian Groups: zeta(2n), Quadratic Reciprocity, Bessel Integrals (Karlsson).-Report on the Irreducibility of L-Functions (Katz).-Remark on Fundamental Groups and Effective Diophantine Methods for Hyperbolic Curves (Kim).-Ranks of Elliptic Curves in Cubic Extensions (Kisilevsky).-On Effective Equidistribution of Expanding Tranlates of Certain Orbits in the Space of Lattices (Kleinbock, Margulis).-Elliptic Eisenstein Series for PSL2(Z) (Kramer, Pippich).-Consequences of the Gross-Zagier Formulae: Stability of Average L-Values, Subconvexity, and Non-Vanishing Mod p (Michel, Ramakrishnan).- A Variant of the Lang-Trotter Conjecture (Murty, Murty).-Multiplicity Estimates, Interpolation, and Transcendence Theory (Nakamaye).-Sampling Spaces and Arithmetic Dimension (O'Neil).-On the Birational Anabelian Program Initiated by Bogomolov (Pop).-Irreducible Spaces of Modular Units (Rohrlich).-Equidistribution and Generalized Mahler Measures (Szpiro, Tucker).-Representations p-adiques de torsion admissibles (Vigneras).-Multiplier Ideal Sheaves, Nevanlinna Theory, and Diophantine Approximation (Vojta).-Report on Some Recent Advances in Diophantine Approximation (Waldschmidt).
Responsibility: Dorian Goldfeld [and others], editors.

Abstract:

In honor of Serge Lang's vast contribution to mathematics, this memorial volume presents articles by prominent mathematicians. Reflecting the breadth of Lang's own interests and accomplishments,  Read more...

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