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221	Annals of Mathematics, [removed]), 301–346 Elliptic units for real quadratic ﬁelds By Henri Darmon and Samit Dasgupta Contents Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:56:54 Analytic number theory Modular forms Riemann surfaces Algebraic number theory Group theory Symbol Elliptic curve Valuation Kronecker limit formula Abstract algebra Mathematics Algebra
222	Trivial zeroes of p-adic L-functions Samit Dasgupta University of California, Santa Cruz October 22, 2012 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-10-23 04:51:43 Number theory Cyclotomic fields Quadratic forms Dirichlet L-function Dirichlet character P-adic L-function Gauss sum Class number formula Bernoulli number Abstract algebra Mathematics Mathematical analysis
223	Elementary Number Theory Section 3.2 Binary Quadratic Forms Deﬁnition[removed]a) A monomial axk11 xk22 · · · xknn , a 6= 0 is said to have degree k1 + k1 + · · · + kn . (b) The degree of a polynomial is the maxima Add to Reading List Source URL: www.math.ntu.edu.tw Language: English - Date: 2010-10-02 23:42:35 Quadratic forms Algebraic number theory Polynomials Binary quadratic form Discriminant Fundamental discriminant Conic section Algebra Abstract algebra Mathematics
224	DISPARITY IN THE STATISTICS FOR QUADRATIC TWIST FAMILIES BARRY MAZUR Very rough notes for a lecture delivered at the MSRI Workshop in Arithmetic Statistics, April 13, 2011. This represents joint work with Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-12-13 10:36:48 Linear algebra Analytic number theory Quadratic forms Algebraic number theory Real algebraic geometry Elliptic curve Symbol Symplectic vector space Algebraic number field Algebra Abstract algebra Mathematics
225 $Quadratic forms / Field theory / Algebraic number theory / Linear algebra / Real algebraic geometry / Partial fraction / Euclidean algorithm / Mathematics / Algebra / Abstract algebra$	SUMS OF SQUARES IN Q AND F(T ) KEITH CONRAD 1. Introduction To illustrate the analogies between integers and polynomials, we prove a theorem about sums of squares over Z and then prove an analogous result in F [T ] (wher Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2007-12-15 18:52:41 Quadratic forms Field theory Algebraic number theory Linear algebra Real algebraic geometry Partial fraction Euclidean algorithm Mathematics Algebra Abstract algebra
226	Lattices like the Leech lattice. Journal of Algebra, Vol. 130, No. 1, April 1990, 219–234. Richard E. Borcherds, Department of mathematics, University of California at Berkeley, Berkeley, California[removed]Introduction Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:17 Lattice points Quadratic forms Lie groups Lie algebras Sporadic groups II25 1 Leech lattice Root system Niemeier lattice Abstract algebra Algebra Group theory
227	A SHARPER ESTIMATE ON THE BETTI NUMBERS OF SETS DEFINED BY QUADRATIC INEQUALITIES SAUGATA BASU AND MICHAEL KETTNER Abstract. In this paper we consider the problem of bounding the Betti numbers, bi (S), of a semi-algebrai Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:31:16 Quadratic forms Algebraic topology Betti number Topological graph theory Algebraic geometry Real algebraic geometry Algebraic variety Weil conjectures Algebra Mathematics Abstract algebra
228	NON-SPLIT REDUCTIVE GROUPS OVER Z Brian Conrad Abstract. — We study the following phenomenon: some non-split connected semisimple Q-groups G admit flat affine Z-group models G with “everywhere good reduction” (i.e. Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-04-07 08:15:47 Lie groups Mathematics Unimodular lattice Lattice Smith–Minkowski–Siegel mass formula E8 lattice E7 Orthogonal group E6 Abstract algebra Algebra Quadratic forms
229	The Leech lattice. Proc. R. Soc. Lond. A 398, [removed]Richard E. Borcherds, University of Cambridge, Department of Pure Mathematics and Mathematical Statistics, 16 Mill Lane, Cambridge, CB2 1SB, U.K. New proofs of Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:07 Lie groups Lattice points Quadratic forms Lie algebras Sporadic groups II25 1 Leech lattice Niemeier lattice Unimodular lattice Abstract algebra Group theory Algebra
230	The Fourier-Jacobi Map and Small Representations A thesis presented by Martin Hillel Weissman Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2006-08-31 13:43:13 Complex analysis Analytic number theory Theta function Siegel modular form Representation theory Quadratic form Modular group Fourier series Hecke operator Mathematical analysis Mathematics Modular forms

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