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Elliptic integrals, the arithmetic-geometric mean and the Brent-Salamin algorithm for π Notes by G.J.O. Jameson Contents 1. The integrals Ia, b and Kb 2. The arithmetic-geometric…

Jan H. Bruinier, Winfried Kohnen and Ken Ono Appearing in Compositio Mathematica 1. Introduction and Statement of Results. Let j(z) = q−1 + 744 + 196884q + ·

IV: Polynomial local search higher in the bounded arithmetic hierarchyIV: Polynomial local search higher in the bounded arithmetic hierarchy Sam Buss, UCSD [email protected]

Elliptic curve arithmetic Wouter Castryck ECC school Nijmegen 9-11 November 2017 𝑃1 𝑃2 𝑃1 + 𝑃2 Tangent-chord arithmetic on cubic curves Introduction Consequence…

Arithmetic of Elliptic Curves Galen Ballew James Duncan May 6 2016 Abstract Our research focuses on 9 specific elliptic curves E over Q each with complex multiplication by…

Elliptic integrals the arithmetic-geometric mean and the Brent-Salamin algorithm for π Notes by GJO Jameson Contents 1 The integrals Ia b and Kb 2 The arithmetic-geometric…

Presentations for cusped arithmetic hyperbolic lattices Alice Mark, Julien Paupert∗ August 20, 2018 Abstract We present a general method to compute a presentation for any…

Introduction to Exact Real Arithmetic ∗ R f1 f2R R %% % Γ1 Γ2 %% % Γ1 Γ2 IN ININ ININ -1.5 -1 -0.5 0 0.5 1 1.5 -1.5 -1 -0.5 0 0.5 1 1.5 7−→ -1.5 -1 -0.5 0 0.5 1…

This is a digital copy of a book that was preserved for generations on library shelves before it was carefully scanned by Google as part of a project to make the worldâs…

Mathematical Association of America is collaborating with JSTOR to digitize, preserve and extend access to The American Mathematical Monthly. http://www.jstor.org Gauss,…

Random Arithmetic Formulas can be Reconstructed Efficiently Full Version Ankit Gupta ∗ Neeraj Kayal † Youming Qiao ‡ November 30 2012 Abstract Informally stated we…

ARITHMETIC PROGRESSIONS OF LENGTH THREE IN SUBSETS OF A RANDOM SET YOSHIHARU KOHAYAKAWA†, TOMASZ LUCZAK‡ and VOJTĚCH RÖDL* Abstract. For integers 1 ≤ M ≤ n, let…

ACTA ARITHMETICA LXXV2 1996 Arithmetic progressions of length three in subsets of a random set by Yoshiharu Kohayakawa São Paulo Tomasz Łuczak Poznań and Atlanta Ga and…

A Survey of Arithmetic Applications of Capacity Theory Robert Rumely Banff International Research Station The Geometry Algebra and Analysis of Algebraic Numbers October 8…

Sage 9.1 Reference Manual: Arithmetic Subgroups of SL2Z Release 9.1 The Sage Development Team May 21, 2020 CONTENTS 1 Arithmetic subgroups finite index subgroups of SL2Z…

Primes in arithmetic progressions to large moduli James Maynard University of Oxford Second Symposium in Analytic Number Theory Cetraro July 2019 James Maynard Primes in…

CONVERGENCE OF MEASURES ON COMPACTIFICATIONS OF LOCALLY SYMMETRIC SPACES CHRISTOPHER DAW ALEXANDER GORODNIK AND EMMANUEL ULLMO Abstract We conjecture that the set of homogeneous…

Injection Locked Oscillators Optoelectronic Applications E. Shumakher, J. Lasri, B. Sheinman, G. Eisenstein, D. Ritter Electrical Engineering Dept. TECHNION Haifa ISRAEL…

MINIMAL CONDITIONS ON CLIFFORD SEMIGROUP CONGRUENCES M EL-GHALI M ABDALLAH L N GAB-ALLA AND SAYED K M ELAGAN Received 6 April 2006 Accepted 6 April 2006 A known result in…

Extremal Bounded Holomorphic Functions and an Embedding Theorem for Arithmetic Varieties of Rank ≥ 2 Ngaiming Mok Let Ω be a bounded symmetric domain of rank ≥ 2, and…