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An overview of exceptional orthogonal polynomials David Gómez-Ullate ICMAT and Universidad Complutense V Encuentro Iberoamericano de Polinomios Ortogonales y Aplicaciones…

THE RANK OF MAZUR’S EISENSTEIN IDEAL PRESTON WAKE AND CARL WANG-ERICKSON Abstract. We use pseudodeformation theory to study Mazur’s Eisenstein ideal. Given prime numbers…

COMPUTING WITH EXPANSIONS IN GEGENBAUER POLYNOMIALS JENS KEINER∗ Abstract In this work we develop fast algorithms for computations involving finite expansions in Gegenbauer…

The p-adic L-functions of an evil Eisenstein Series Joint work with Samit Dasgupta Luminy June 2011 Joël Belläıche June 27 2011 Refinement of a modular form why Let…

v11i2r4.dviGabor Hetyei∗ Charlotte, NC 28223 Submitted: Apr 2, 2004; Accepted: Jul 20, 2004; Published: Aug 16, 2004 Abstract Given a sequence {Qn(x)}∞n=0 of

Spring 2017 02/27/2017 6 Isogeny kernels and division polynomials In this lecture we continue our study of isogenies of elliptic curves. Recall that an isogeny is a surjective

M. Adler† P. van Moerbeke‡ August 24, 1998 Dedicated to Jurgen Moser, at the occasion of his 70th birthday Abstract Classically, a single weight on an interval

Chapter 2 Orthogonal Polynomials and Weighted Polynomial Approximation 2.1 Orthogonal Systems and Polynomials 2.1.1 Inner Product Space and Orthogonal Systems Suppose that…

Microsoft Word - Combined Maths I 2015 ALGeneral Certificate of Education (Adv. Level) Examination, August 2015 Combined Mathematics I - Part B Model Answers 11. (a) Polynomials

QUANTUM ERGODICITY OF EISENSTEIN FUNCTIONS AT COMPLEX ENERGIES SEMYON DYATLOV Abstract We consider a surface M with constant curvature cusp ends and its Eisenstein functions…

ON THE ZEROES OF HALF-INTEGRAL WEIGHT EISENSTEIN SERIES ON Γ04 SAMANTHA MOORE 1 Overview Let k ≥ 5 be an odd integer In this paper we study the zeroes of the weight k…

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…

Microsoft Word - Converting-phi-utm2.doc1/15 Assessment of the polynomials for conversion between Geodetic coordinates (φ, λ) and the UTM “Or Vice Versa”

ON DEFINING INTEGERS AND PROVING ARITHMETIC CIRCUIT LOWER BOUNDS Peter Bürgisser Abstract Let τn denote the minimum number of arithmetic opera- tions sufficient to build…

A Appendix A: Jacobi polynomials and beyond In the following we review a few properties of classical orthogonal polynomials Gauss quadratures and the extension of these ideas…

Other Stuff and Examples: Polynomials, Logs, Time Series, Model Selection, Logistic Regression... McCombs School of Business (i) The mean of Y is linear in X ′s. (ii)

LARRY A. SHEPP AND ROBERT J. VANDERBEI ABSTRACT. Mark Kac gave an explicit formula for the expectation of the number, νn(), of zeros of a random polynomial, Pn(z) = ηjz

Sami Assaf July 3, 2007 Dual equivalence graphs , ribbon tableaux and Macdonald polynomials Sami Assaf July 3, 2007 Macdonald polynomials Macdonald polynomials The transformed

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…

A normalization formula for the Jack polynomials in superspace Yvan Le Borgne LaBRI CNRSUniversité de Bordeaux ESI May 28th 2008 joint work with Luc Lapointe and Philippe…