دانلود کتاب Number Theory, Analysis and Geometry: In Memory of Serge Lang

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Front Matter....Pages i-xx
Raynaud’s group-scheme and reduction of coverings....Pages 1-18
The modular degree, congruence primes, and multiplicity one....Pages 19-49
Le théorème de Siegel–Shidlovsky revisité....Pages 51-67
Some aspects of harmonic analysis on locally symmetric spaces related to real-form embeddings....Pages 69-109
Differential characters on curves....Pages 111-123
Weyl group multiple Dirichlet series of type A 2 ....Pages 125-142
On the geometry of the diffeomorphism group of the circle....Pages 143-160
Harmonic representatives for cuspidal cohomology classes....Pages 161-168
About the ABC Conjecture and an alternative....Pages 169-180
Unifying themes suggested by Belyi’s Theorem....Pages 181-214
On the local divisibility of Heegner points....Pages 215-241
Uniform estimates for primitive divisors in elliptic divisibility sequences....Pages 243-271
The heat kernel, theta inversion and zetas on Г∖ G ∕ K ....Pages 273-306
Applications of heat kernels on abelian groups: ζ(2 n ), quadratic reciprocity, Bessel integrals....Pages 307-320
Report on the irreducibility of L -functions....Pages 321-353
Remark on fundamental groups and effective Diophantine methods for hyperbolic curves....Pages 355-368
Ranks of elliptic curves in cubic extensions....Pages 369-383
On effective equidistribution of expanding translates of certain orbits in the space of lattices....Pages 385-396
Elliptic Eisenstein series for $${PSL}_{2}(\\mathbb{Z})$$ ....Pages 397-435
Consequences of the Gross–Zagier formulae: Stability of average L -values, subconvexity, and non-vanishing mod p ....Pages 437-459
A variant of the Lang–Trotter conjecture....Pages 461-474
Multiplicity estimates, interpolation, and transcendence theory....Pages 475-498
Sampling spaces and arithmetic dimension....Pages 499-518
Recovering function fields from their decomposition graphs....Pages 519-594
Irreducible spaces of modular units....Pages 595-608
Equidistribution and generalized Mahler measures....Pages 609-638
Représentations p -adiques de torsion admissibles....Pages 639-646
Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation....Pages 647-658
Recent advances in Diophantine approximation....Pages 659-704