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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…

EXPLICIT BOUNDS FOR THE PSEUDOSPECTRA OF VARIOUS CLASSES OF MATRICES AND OPERATORS FEIXUE GONG1, OLIVIA MEYERSON2, JEREMY MEZA3, ABIGAIL WARD4 MIHAI STOICIU5 (ADVISOR) SMALL…

SUBCONVEXITY BOUNDS FOR AUTOMORPHIC L–FUNCTIONS A Diaconu and P Garrett Abstract We break the convexity bound in the t–aspect for L–functions attached to cuspforms…

Permanent Does Not Have Succinct Polynomial Size Arithmetic Circuits of Constant Depth Maurice Jansen and Rahul Santhanam School of Informatics, The University of Edinburgh…

Exploring the 64-bit Memory Mapped Arithmetic UnitExploring the 64-bit Memory Mapped Arithmetic Unit metering, hardware support for high-dynamic range arithmetic operations

Semantics for Intuitionistic Arithmetic based on Tarski Games with retractable moves Stefano Berardi http://www.di.unito.it/∼stefano C.S. Dept., University of Torino,

Journal de Theorie des Nombres de Bordeaux 16 (2004), 251–291 Arithmetic of linear forms involving odd zeta values par Wadim ZUDILIN Resume. Une construction hypergeometrique

1 Quaternion Algebras In this section, F is a field of characteristic 6= 2. Unless stated otherwise, all algebras considered here are finite dimensional algebras over F .

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

Numerical Analysis, lecture 3: Computer Arithmetic 1 (textbook sections 2.4–8) • floating point numbers • fp arithmetic ENIAC (USA, 1945) Numerical Analysis, lecture…

Dirac gaugino as leptophilic dark matter Jong-Chul Park May 14, 2014 Mitchell Workshop on Collider & Dark Matter Physics Bounds on DM interpretation of Fermi-LAT GeV…

Stability of lattices and the partition of arithmetic quotients Bill Casselman Department of Mathematics University of British Columbia Vancouver, Canada [email protected]

Arithmetic progressions in sets of fractional dimension Izabella Laba and Malabika Pramanik May 15 2008 Abstract Let E ⊂ R be a closed set of Hausdorff dimension α We…

Improved Risk Bounds in Isotonic Regression Sabyasachi Chatterjee, Adityanand Guntuboyina∗ and Bodhisattva Sen† Yale University, University of California at Berkeley…

The Limits of Determinacy in Second Order Arithmetic: Consistency and Complexity Strength Antonio Montalban∗ Berkeley CA 94720 USA March 10, 2013 Abstract We prove

Arnold Beckmann∗ Swansea SA2 8PP, UK [email protected] Samuel R. Buss† La Jolla, CA 92093-0112, USA [email protected] October 23, 2009 The complexity