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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…

Semigroup Forum (2013) 86:431–450 DOI 10.1007/s00233-012-9425-z R E S E A R C H A RT I C L E Congruences and group congruences on a semigroup Roman S. Gigoń Received:…

ar X iv :1 20 4 43 65 v1 m at h L O 1 9 A pr 2 01 2 Principal and Boolean congruences on θ-valued Lukasiewicz–Moisil algebras A V Figallo I Pascual y A Ziliani Instituto…

ICERM April 18, 2013 National Center for Theoretical Sciences, Taiwan 1 Noncongruence subgroups • Bass-Lazard-Serre: All finite index subgroups of SLn(Z) for n ≥

NEW SERIES FOR POWERS OF π AND RELATED CONGRUENCES ZHI-WEI SUN Abstract. Via symbolic computation we deduce 97 new type series for powers of π related to Ramanujan-type

Solving Linear Congruences Chinese Remainder Theorem Moduli are not Relatively Prime Properties of Euler’s φ Function Chapter 4 - Solving Linear Congruences, Chinese Remainder…

1. 1 2. 9.2 – Arithmetic Sequences and Series 3. An introduction………… 1, 4, 7,10,13 9,1, 7, 15 6.2, 6.6, 7, 7.4 , 3, 6 − − π π + π + Arithmetic Sequences…

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…

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…

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…

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…

PART 4 Fuzzy Arithmetic 1. Fuzzy numbers 2. Linguistic variables 3. Operations on intervals 4. Operations on fuzzy numbers 5. Lattice of fuzzy numbers 6. Fuzzy equations…

1. Introduction By a hyperbolic 3-manifold we mean a complete orientable hyperbolic 3-manifold of finite volume, that is a quotient H3/Γ with Γ ⊂ PSL2C a

MATHEMATICS 6110 FALL 2013 INTRODUCTORY NUMBER THEORY KATHERINE E STANGE Contents 1 Preface 3 2 Problems in Number Theory 3 3 Some numerical experiments and Sage 10 4 Multiplicative…

ar X iv :1 70 1 04 74 1v 1 m at h C O 1 7 Ja n 20 17 New Congruences and Finite Difference Equations for Generalized Factorial Functions Maxie D Schmidt University of Washington…

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…

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…