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Algebraic function field
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21	Research Statement Brandon Fodden The central focus of my research is the study of L-functions. A combination of powerful results and fundamental open questions makes this an exciting area in which to do research. The st Add to Reading List Source URL: people.math.carleton.ca Language: English - Date: 2011-11-05 17:17:54 Bernhard Riemann Analytic number theory Conjectures Field theory Algebraic geometry Generalized Riemann hypothesis Riemann zeta function Riemann hypothesis Prime number theorem Elliptic curve Diophantine equation Selberg class
22	689 Documenta Math. p-adic Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2016-06-23 04:52:04 Field theory Number theory Algebraic geometry Valuation Distribution Algebraic number field Representation theory Automorphic L-function Sheaf operator Symbol
23	THE BRAUER-MANIN OBSTRUCTION FOR SUBVARIETIES OF ABELIAN VARIETIES OVER FUNCTION FIELDS ´ FELIPE VOLOCH BJORN POONEN AND JOSE Abstract. We prove that for a large class of subvarieties of abelian varieties over global fu Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2006-12-06 01:58:08 Niels Henrik Abel Analytic number theory Ring theory Algebraic geometry Algebraic structures Free abelian group Profinite group Abelian group Abelian variety Field extension Algebraic number field Elliptic curve
24	Towards Lang-Trotter for Elliptic Curves over Function Fields Chris Hall and Jos´e Felipe Voloch 1. Introduction Let K be a global field of char p and let Fq ⊂ K denote the algebraic closure of Fp in Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2005-02-10 15:58:06 Algebraic number theory Galois theory Splitting of prime ideals in Galois extensions Galois module Orbifold Approximately finite-dimensional C*-algebra
25	ON A QUESTION OF KEATING AND RUDNICK ABOUT PRIMITIVE DIRICHLET CHARACTERS WITH SQUAREFREE CONDUCTOR NICHOLAS M. KATZ Abstract. We prove equidistribution results, in the function field Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2012-05-02 12:40:16 Algebraic structures Ring theory Algebra Polynomials Commutative algebra Sheaf Conductor Finite field Field extension Integral element tale morphism Ring
26	73 Documenta Math. On the Equivariant Tamagawa Number Conjecture Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-05-06 08:16:28 Class field theory Field theory Cyclotomic fields Algebraic number theory Algebraic geometry Conductor Iwasawa theory Algebraic number field Complex multiplication Motive Dirichlet L-function Artin reciprocity law
27	Documenta Mathematica Band 19, 2014 Yuval Z. Flicker Eisenstein Series and the Trace Formula for GL(2) over a Function Field Giuseppe De Nittis and Max Lein Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2015-01-28 05:36:03 Cohomology Duality Picard group Homological algebra Algebraic number theory
28	91 Documenta Math. Tame Class Field Theory for Singular Varieties over Algebraically Closed Fields Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2016-01-23 06:56:25 Algebraic geometry Cohomology theories Homological algebra Principal homogeneous space Cohomology Valuation Sheaf cohomology tale cohomology Torsor tale fundamental group Motivic cohomology Incomplete gamma function
29	807 Documenta Math. Several Variables p-Adic L-Functions for Hida Families of Hilbert Modular Forms Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2012-12-12 12:22:36 Field theory Modular forms Number theory Cyclotomic fields Algebraic number theory Main conjecture of Iwasawa theory Craig interpolation Algebraic number field P-adic modular form Iwasawa theory P-adic L-function Distribution
30	387 Documenta Math. Coleman Power Series for K2 and p-Adic Zeta Functions Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2003-12-23 07:52:17 Field theory Number theory Algebraic number theory Cyclotomic fields P-adic number P-adic modular form Cyclotomic character Valuation P-adic L-function ZP Prime number Iwasawa theory