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Hilbert modular form
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1	ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2016-06-23 04:10:37 Algebra Mathematics Abstract algebra Modular forms Field theory Analytic number theory Operator theory Algebraic geometry Eigenform P-adic modular form Elliptic curve Valuation
2	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
3	Computing genus 2 curves from invariants on the Hilbert moduli space Journal of Number Theory, Special Issue on Elliptic Curve Cryptography http://eprint.iacr.org Add to Reading List Source URL: 2010.eccworkshop.org Language: English - Date: 2010-10-26 20:15:50 Algebra Abstract algebra Analytic number theory Invariant theory Algebraic surfaces Algebraic curves Moduli space Moduli theory Modular form Abelian variety Elliptic curve Complex multiplication
4	PDF Document Add to Reading List Source URL: www.ipm.ac.ir Language: English - Date: 2011-09-28 00:50:08 Modular forms Automorphic forms Linear algebra Number theorists Hecke operator Selberg trace formula Hilbert space Cusp form Congruence subgroup Mathematics Algebra Mathematical analysis
5	A PROOF OF THE RIEMANN HYPOTHESIS I Louis de Branges* Abstract. A proof of the Riemann hypothesis is obtained for zeta functions generated in Fourier analysis on fields and skew–fields. The fields are the complex plan Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2014-12-17 09:44:58 Analytic number theory Quantum mechanics Moduli theory Hardy space Hilbert space Modular form Complex number Gamma function Riemann hypothesis Mathematical analysis Complex analysis Operator theory
6	ON LOCAL GALOIS REPRESENTATIONS ASSOCIATED TO ORDINARY HILBERT MODULAR FORMS BASKAR BALASUBRAMANYAM, EKNATH GHATE, AND VINAYAK VATSAL Abstract. Let F be a totally real field and p be an odd prime which splits completely Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2013-03-21 00:47:34 Field theory Galois theory Class field theory Analytic number theory Artin reciprocity law Algebraic number field Galois module Modular form P-adic number Abstract algebra Algebra Algebraic number theory
7	Journal of Number Theory 80, 2543[removed]Article ID jnth[removed], available online at http:www.idealibrary.com on Tate Cycles on a Product of Two Hilbert Modular Surfaces V. Kumar Murty 1 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 21:06:58 Representation theory of Lie groups Automorphic forms Representation theory Cuspidal representation Conjectures Number theory Modular form Algebraic number field Weil group Abstract algebra Algebra Class field theory
8	Annals of Mathematics[removed]), 439–484 doi: [removed]annals[removed]Hilbert modular forms and the Gross-Stark conjecture By Samit Dasgupta, Henri Darmon, and Robert Pollack Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-08-28 16:41:55 Dirichlet character Modular form Cyclotomic character P-adic L-function Gauss sum Weight Spectral theory of ordinary differential equations Symbol Abstract algebra Mathematical analysis Mathematics
9	Spectral Theory and the Trace Formula (Expanded Text) by Daniel Bump We give an account of a portion of the spectral theory ?nSL2(R), particularly the Selberg trace formula, emphasizing ideas from representation theory. Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:38:48 Operator theory Quantum mechanics Representation theory of Lie groups Topological groups Group action Group theory Hilbert space Modular form Representation theory of finite groups Mathematical analysis Abstract algebra Mathematics
10	Explicit√Computations of Hilbert Modular Forms on Q( 5) Lassina Dembélé Add to Reading List Source URL: www.emis.de Language: English - Date: 2005-12-29 10:24:02 Analytic number theory Automorphic forms Modular forms Hecke operator Shimura variety Langlands program Cuspidal representation Hilbert modular form Elliptic curve Abstract algebra Mathematical analysis Mathematics