Supplementary Problems[removed]Let f (x, y) be a polynomial, which is symmetric in x and y, that is, f (x, y) = f (y, x). Put s = x + y and t = xy. Prove that there exists a polynomial g(s, t) in s and t such that g(s, t)

Source URL: www.mathematics.jhu.edu

• Polynomials
• Algebraic number theory
• Tutte polynomial
• Factorization of polynomials over a finite field and irreducibility tests
• Mathematics
• Abstract algebra
• Mathematical analysis

Inleveropgave 8 Albert-Jan Yzelman[removed]2004 Excersice[removed]Let X and Y be independent exponentially distributed random variables with

Source URL: www.trancethrust.nl

• Operator theory
• Complex analysis

Perfect Graphs, Partitionable Graphs and Cutsets Michele Conforti  Gerard Cornuejols y Grigor Gasparyan z and Kristina Vuskovic x

Source URL: integer.tepper.cmu.edu

• Line graph
• Clique
• Perfect graph
• Bipartite graph
• Matching
• NP-complete problems
• Combinatorial optimization
• Tree decomposition
• Graph structure theorem
• Graph theory
• Graph operations
• Chordal graph

The equation x + y = 1 in finitely generated groups F.Beukers and H.P.Schlickewei January 8, 2007 1

Source URL: www.staff.science.uu.nl

• Diophantine approximation
• Symbol
• Spectral theory of ordinary differential equations
• Mathematics
• Mathematical analysis
• Spectral theory

Summary Let T be a homogeneous polynomial in three variables and with rational integer co¨efficients. As a generalisation of Thue’s equation we consider the ternary form equation T (x, y, z) = 1 in the integral unknow

Source URL: www.staff.science.uu.nl

• Ordinary differential equations
• Operator theory
• Spectral theory
• Algebraic number field
• Algebraic number theory
• Field theory
• Spectral theory of ordinary differential equations
• Sturm–Liouville theory
• Mathematics
• Calculus
• Algebra

Notes In these notes, “page x (y)” means page x in the original publication and page y in this volume; “page x (vol. I, p. y)” means page x in the original and page y in [SP1]. [61a] The topology of normal sing

Source URL: www.math.upenn.edu

• Fourier analysis
• Group theory
• Analytic number theory
• Algebraic topology
• Elliptic curve
• Multiplier
• Sheaf
• Abelian group
• Elementary group theory
• Abstract algebra
• Algebra
• Mathematics

Heegner points and Sylvester’s conjecture Samit Dasgupta and John Voight Abstract. We consider the classical Diophantine problem of writing positive integers n as the sum of two rational cubes, i.e. n = x3 + y 3 for x,

Source URL: people.ucsc.edu

• Algebraic number theory
• Elliptic curves
• Number theory
• Group theory
• Heegner point
• Modular form
• Birch and Swinnerton-Dyer conjecture
• Prime number
• Classical modular curve
• Abstract algebra
• Mathematics
• Analytic number theory

HOMOGENEOUS SPACES AND DEGREE 4 DEL PEZZO SURFACES E.V. FLYNN Abstract. It is known that, given a genus 2 curve C : y 2 = f (x), where f (x) is quintic and defined over a field K, of characteristic different from 2, and

Source URL: people.maths.ox.ac.uk

• Mathematical analysis
• Algebra
• Algebraic number theory
• Quantum field theory
• Dyadic cubes
• Abstract simplicial complex
• Abstract algebra
• Genus of a multiplicative sequence
• Harmonic analysis

Axiomatic Set Theory: Problem sheet[removed]Prove lemmas 7.1.2, 7.1.3 and[removed]Prove[removed]), ie. that “x is a finite sequence of elements of y” ZF (ie. x ∈ <ω y) is ΣZF 0 , assuming that (1)–(29) of 7.

Source URL: people.maths.ox.ac.uk

DISINTEGRATION OF MEASURES BEN HAYES Definition 1. Let (X, M, λ), (Y, N, µ) be sigma-finite measure spaces and let T : X → Y be a measurable map. A (T, µ)-disintegration is a collection {λy }y∈Y of measures on M

Source URL: www.math.ucla.edu

• Operator theory
• Support
• Radon–Nikodym theorem
• Lambda calculus
• Combinatory logic
• Compact operator on Hilbert space
• Mathematical analysis
• Spectral theory
• Measure theory