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NOTES FROM MODULARITY LIFTING SEMINAR AT STANFORD, 2009-2010 SAM LICHTENSTEIN Lecture 1: Overview by Brian 0. Why Study Galois Representations? Here we discuss the link between…

Orthogonal polynomial expansions for the Riemann xi function Dan Romik Author address: Department of Mathematics, University of California, Davis, One Shields Ave, Davis…

Abstract Linear Algebra Linear Algebra. Session 11 Dr. Marco A Roque Sol 04 21 2020 Dr. Marco A Roque Sol Linear Algebra. Session 11 Abstract Linear Algebra Orthogonal Polynomials…

INTERPOLATION OF SHIFTED-LACUNARY POLYNOMIALS Mark Giesbrecht and Daniel S Roche Abstract Given a “black box” function to evaluate an unknown ra- tional polynomial f…

MONOMIAL ORTHOGONAL POLYNOMIALS OF SEVERAL VARIABLES YUAN XU Abstract A monomial orthogonal polynomial of several variables is of the form xα−Qαx for a multiindex α…

Other Stuff and Examples: Polynomials, Logs, Time Series, Model Selection, Logistic Regression... Carlos M. Carvalho The University of Texas at Austin McCombs School of Business…

Noisy Interpolating Sets for Low Degree Polynomials Zeev Dvir Princeton U Amir Shpilka Technion Interpolating sets  dx1xm = m-variate polynomials of total degree ≤…

RATIOS OF JACKSON’S q-BESSEL FUNCTIONS AND q-LOMMEL POLYNOMIALS JANG SOO KIM AND DENNIS STANTON Abstract. In 1993 Delest and Fédou showed that a generating function for…

17.2 Weight Functions and Orthogonal Polynomials 245 ⟨en, g⟩2 = 0 for all n ∈ Z. From the above convergence result we deduce, for all f ∈ C10, 2π , ⟨f , g⟩2…

IX 9  3 CONTENTS Topics Page No. n Syllabus Guidelines 04 n Maths Here and There 06 n Beat The Calculator 07 n Peoples in Mathematics 11 n Why Calculate π 13 n Brain Benders…

ar X iv :0 90 7 39 50 v2 m at h C O 3 S ep 2 00 9 SYMMETRIC FUNCTIONS AND MACDONALD POLYNOMIALS ROBIN LANGER Submitted in total fulfilment of the requirements of the degree…

ar X iv :m at h- ph 0 41 20 25 v1 9 D ec 2 00 4 THE STATISTICAL DISTRIBUTION OF THE ZEROS OF RANDOM PARAORTHOGONAL POLYNOMIALS ON THE UNIT CIRCLE MIHAI STOICIU Abstract We…

Origins of Ideal Theory R Garrett Notation and prerequisite review Algebraic numbers and number systems Solving Diophantine equations with Zα and friends Unique factorization…

JOURNAL OF SYMPLECTIC GEOMETRY Volume 7 Number 2 51–76 2009 BERNSTEIN POLYNOMIALS BERGMAN KERNELS AND TORIC KÄHLER VARIETIES Steve Zelditch We show that the classical…

Lattice Points, Dedekind Sums, and Ehrhart Polynomials of Lattice Polyhedra ∗ Beifang Chen Department of Mathematics Hong Kong University of Science and Technology Clear…

Amplitudes in φ4 Francis Brown, CNRS Institut de Mathématiques de Jussieu DESY Hamburg, 6 March 2012 Overview: 1. Parametric Feynman integrals 2. Graph polynomials 3.…

On Multiple Zeros of Bernoulli Polynomials Karl Dilcher Dalhousie University Halifax “Special Functions in the 21st Century Washington DC April 6 2011 Karl Dilcher On Multiple…

Uniform distribution for zeros of random polynomials Igor E Pritsker Oklahoma State University 6th International Conference on Uniform Distribution Theory CIRM 1-5 October…

Character sheaves on a symmetric space and Kostka polynomials Toshiaki Shoji Nagoya University July 27 2012 Osaka Toshiaki Shoji Nagoya University Character sheaves on a…

Uniform Distribution Theory 3 2008 no1 127–148 uniform distribution theory BERNOULLI POLYNOMIALS AND nα-SEQUENCES Lúıs Roçadas ABSTRACT Let α ∈ 0 1 be an irrational…