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Journal de Théorie des Nombres de Bordeaux 17 2005 801–823 On coefficient valuations of Eisenstein polynomials par Matthias KÜNZER et Eduard WIRSING Résumé Soit…

On the Eisenstein ideal for imaginary quadratic fields Tobias Berger Abstract For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an Eisenstein…

On the ω-multiple Charlier polynomialsR E S E A R C H Open Access On the ω-multiple Charlier polynomials Mehmet Ali Özarslan1* and Gizem Baran1 *Correspondence:

Polynomials on Polydiscs Kristian Seip Norwegian University of Science and Technology June 12, 2013 Polynomials on Polydiscs We will be interested in polynomials F in d complex…

A FAMILY OF EISENSTEIN POLYNOMIALS GENERATING TOTALLY RAMIFIED EXTENSIONS IDENTIFICATION OF EXTENSIONS AND CONSTRUCTION OF CLASS FIELDS MAURIZIO MONGE Abstract Let K be a…

IJMMS 2004:28, 1455–1462 PII. S0161171204305314 http:ijmms.hindawi.com © Hindawi Publishing Corp. ON THE DENSENESS OF JACOBI POLYNOMIALS SARJOO PRASAD YADAV Received 29…

logo1 Overview Solving the Legendre Equation Application Legendre Polynomials Bernd Schröder Bernd Schröder Louisiana Tech University, College of Engineering and Science…

1. NAME – Nihas Kamarudheen CLASS- X - C ROLL NO-30 A presentation on 2. WHAT IS A POLYNOMIAL 3. On the basis of degree 4. A real number α is a zero of a polynomial f(x),…

1. NAME – Janendra Pingua CLASS- IX - A A presentation on 2. WHAT IS A POLYNOMIAL 3. On the basis of degree 4.  Let α, β and γ be the zeroes of the polynomial ax³…

Eisenstein congruences in arithmetic and geometry Romyar Sharifi University of Arizona October 22 2015 1 22 The Riemann zeta function Definition The Riemann zeta function…

Pseudo–Eisenstein forms and cohomology of arithmetic groups II Jürgen Rohlfs Katholische Universität Eichstätt-Ingolstadt Ostenstr 26 – 28 85072 EichstättGermany…

RAMANUJAN’S EISENSTEIN SERIES AND POWERS OF DEDEKIND’S ETA-FUNCTION HENG HUAT CHAN, SHAUN COOPER AND PEE CHOON TOH Abstract. In this article, we use the theory of elliptic…

ON A SECANT DIRICHLET SERIES AND EICHLER INTEGRALS OF EISENSTEIN SERIES BRUCE C. BERNDT AND ARMIN STRAUB Abstract. We consider, for even s, the secant Dirichlet series ψsτ…

Zeros of Eisenstein Series Stephanie Treneer Western Washington University May 8, 2010 Joint work with Sharon Garthwaite, Ling Long and Holly Swisher Originated at the Women…

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…

Eisenstein Series GOAL: We will discuss a standard construc- tion of automorphic representations: the the- ory of Eisenstein series. Let P = M · N be a parabolic subgroup…

THE EISENSTEIN IDEAL WITH SQUAREFREE LEVEL PRESTON WAKE AND CARL WANG-ERICKSON Abstract. We use pseudodeformation theory to study the analogue of Mazur’s Eisenstein ideal…

CHAPTER 3 Orthogonal Polynomials and Polynomial Approximations 3.1. Orthogonal polynomials The orthogonal polynomials play the most important role in spectral methods, so…

LEGENDRE POLYNOMIALS AND APPLICATIONS We construct Legendre polynomials and apply them to solve Dirichlet problems in spherical coordinates. 1. Legendre equation: series

Symmetric Polynomials and Representation TheoryOrthogonality Nikolay Grantcharov Orthogonality Outline 1 Symmetric Functions Ring of Symmetric Functions Four Bases of Λ