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ELON LINDENSTRAUSS Abstract. We classify measures on the locally homogeneous space Γ\SL(2, R)×L which are invariant and have positive entropy un- der the diagonal

Arithmetic functions… 0.1in old and newPaul Pollack theory” Let s(n) := ∑ d |n,d

A Spectral Method for Nonlinear Elliptic Equations Kendall Atkinson∗ David Chien† Olaf Hansen† July 18 2016 Abstract Let Ω be an open simply connected and bounded…

ECE 261 James Morizio 1 Arithmetic Circuits-2 • Multipliers – Array multipliers • Shifters – Barrel shifter – Logarithmic shifter ECE 261 James Morizio 2 Binary…

()Vito Napolitano∗ We present three constructions which transform some symmetric config- uration K of type nk into new symmetric configurations of types (n + 1)k,

Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, , and the Ladies DiaryGauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the

Arithmetic Quantum Unique Ergodicity Manfred Einsiedler ETH Zürich Arizona Winter School 12. März 2010 Recent Progress on QUE 2 §1. The General QUE Conjecture In Figure…

INVARIANT MEASURES AND ARITHMETIC QUANTUM UNIQUE ERGODICITY ELON LINDENSTRAUSS Abstract. We classify measures on the locally homogeneous space Γ\SL(2, R)×L which are invariant…

By Abhijith Chandrashekar and Dushyant Maheshwary Introduction  What are Elliptic Curves  Curve with standard form y2 = x3 + ax + b a b ϵ ℝ  Characteristics of…

Ramanujan’s theories of elliptic functions to alternative bases, and beyond. Shaun Cooper Massey University, Auckland Askey 80 Conference. December 6, 2013. Outline 1 Sporadic…

Mental Arithmetic Questions 1. What number is five cubed? 5³ = 5 x 5 x 5 = 25 x 5 = 125 2. A circle has radius r. What is the formula for the area of the circle? Area =…

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…

10 Cardinal arithmetic Addition and multiplication of cardinal numbers Definition of a relation Proof: a follows from the above Corollary b is trivial c d Since {0} ×m ∪…

LATTICE POINTS ON CIRCLES SQUARES IN ARITHMETIC PROGRESSIONS AND SUMSETS OF SQUARES JAVIER CILLERUELO AND ANDREW GRANVILLE Abstract We discuss the relationship between various…

Monodromy and Arithmetic Groups TNVenkataramana School of Mathematics Tata Institute of Fundamental Research Mumbai venky@mathtifrresin February 10 2015 TNVenkataramana TIFR…

Eccentricity scaled v2 and incomplete equilibration Variation of v2/εwith cross section Variation of v2/εwith centrality Summary Outline Changing the calculation of eccentricity…

2d Partition Functions, Elliptic Genera and DualitiesFrancesco Benini KITP QFT 14 workshop January 22, 2014 with: S. Cremonesi 1206.2356 R. Eager, K. Hori, Y. Tachikawa 1305.0533,

Regularity of solutions to quasilinear elliptic systemsElvira Mascolo Universitá Politecnica delle Marche - Ancona (Italy) Optimization Days, June 6-8, 2011 Summary

classnotes-spring05.dvi1 Differential operators on Rn Let U be an open subset of Rn and let Dk be the differential operator, 1√ −1 Dα = Dα1 1 ·

Uniqueness of solutions for elliptic systems and fourth order equations involving a parameter Craig Cowan Department of Mathematics University of Manitoba Winnipeg, MB R3T…