Number Theory, Analysis and Geometry

Goldfeld, Dorian; Jorgenson, Jay; Jones, Peter; Ramakrishnan, Dinakar; Ribet, Kenneth; Tate, John

Number Theory, Analysis and Geometry

Edited by Dorian Goldfeld (), Jay Jorgenson (), Peter Jones (), Dinakar Ramakrishnan (), Kenneth Ribet () and John Tate ()

in Springer Books from Springer

Date: 2012
Edition: 2012
ISBN: 978-1-4614-1260-1
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Chapters in this book:

Raynaud’s group-scheme and reduction of coverings: Dan Abramovich and Jonathan Lubin
The modular degree, congruence primes, and multiplicity one: Amod Agashe, Kenneth A. Ribet and William A. Stein
Le théorème de Siegel–Shidlovsky revisité: Daniel Bertrand
Some aspects of harmonic analysis on locally symmetric spaces related to real-form embeddings: Eliot Brenner and Andrew Sinton
Differential characters on curves: Alexandru Buium
Weyl group multiple Dirichlet series of type A 2: Gautam Chinta and Paul E. Gunnells
On the geometry of the diffeomorphism group of the circle: Adrian Constantin and Boris Kolev
Harmonic representatives for cuspidal cohomology classes: Józef Dodziuk, Jeffrey McGowan and Peter Perry
About the ABC Conjecture and an alternative: Machiel van Frankenhuijsen
Unifying themes suggested by Belyi’s Theorem: Wushi Goldring
On the local divisibility of Heegner points: Benedict H. Gross and James A. Parson
Uniform estimates for primitive divisors in elliptic divisibility sequences: Patrick Ingram and Joseph H. Silverman
The heat kernel, theta inversion and zetas on Г∖G∕K: Jay Jorgenson and Serge Lang
Applications of heat kernels on abelian groups: ζ(2n), quadratic reciprocity, Bessel integrals: Anders Karlsson
Report on the irreducibility of L-functions: Nicholas M. Katz
Remark on fundamental groups and effective Diophantine methods for hyperbolic curves: Minhyong Kim
Ranks of elliptic curves in cubic extensions: Hershy Kisilevsky
On effective equidistribution of expanding translates of certain orbits in the space of lattices: D. Y. Kleinbock and G. A. Margulis
Elliptic Eisenstein series for $${PSL}_{2}(\mathbb{Z})$$: Jürg Kramer and Anna-Maria von Pippich
Consequences of the Gross–Zagier formulae: Stability of average L-values, subconvexity, and non-vanishing mod p: Philippe Michel and Dinakar Ramakrishnan
A variant of the Lang–Trotter conjecture: M. Ram Murty and V. Kumar Murty
Multiplicity estimates, interpolation, and transcendence theory: Michael Nakamaye
Sampling spaces and arithmetic dimension: Catherine O’Neil
Recovering function fields from their decomposition graphs: Florian Pop
Irreducible spaces of modular units: David E. Rohrlich
Equidistribution and generalized Mahler measures: L. Szpiro and T. J. Tucker
Représentations p-adiques de torsion admissibles: Marie-France Vignéras
Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation: Paul Vojta
Recent advances in Diophantine approximation: Michel Waldschmidt

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DOI: 10.1007/978-1-4614-1260-1

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