Thread for PDF archiving and consolidation

Daniel Shapiro — Products of Sums of Squares: Lecture notes for a mini-course at the Universidad de Talca, December 1999.

Peter Sarnak — Möbius Randomness and Dynamics

Phil Lafer — Discovering the Square-Triangular Numbers

M.A. Nyblom — On the Representation of the Integers as a Difference of Nonconsecutive Triangular Numbers

Michael D. Hirschhorn and James A. Sellers — Partitions into Three Triangular Numbers

E. Yu. Lerner — Prime Witnesses in the Shor Algorithm and the Miller–Rabin Algorithm

Andrew Granville — Smooth numbers: computational number theory and beyond

David Naccache — Divisibility, Smoothness and Cryptographic Applications

Y Shi — On the Zeros of the Riemann Xi Function

Michael Atiyah — The Riemann Hypothesis

Chris King — Experimental Observations on the Riemann Hypothesis, and the Collatz Conjecture

Stephen Crowley — A Sequence of Cauchy Sequences Which Is Conjectured to Converge to the Imaginary Parts of the Zeros of the Riemann Zeta Function

Carlo Cattani — Fractal Patterns in Prime Number Distribution

Dimitris Vartziotis and Joachim Wipper — The Fractal Nature of an Approximate Prime Counting Function

Jeet and Manish Kumar — Lossless Fractal Image Compression Mechanism by Applying Exact Self-similarities at Same Scale

Dietmar Saupe and Hannes Hartenstein — Lossless Acceleration of Fractal Image Compression by Fast Convolution

Francesco Pappalardi — An Introduction to Elliptic Curves and Modular Forms

Joseph H. Silverman — An Introduction to the Theory of Elliptic Curves

Andrew Wiles — Modular Elliptic Curves and Fermat's Last Theorem

John T. Tate — The Arithmetic of Elliptic Curves

>>10001

Worse than "Pee is stored in the balls?"

Daniel J. Bernstein, Nadia Heninger and Tanja Lange — FastHacks: RSA Factorization in the Real World

David Harvey and Edgar Costa — Faster Deterministic Integer Factorisation

Richard Blecksmith, John Brillhart and Michael Decaro — The Completion of Euler's Factoring Formula

James McKee — Turning Euler's Factoring Method into a Factoring Algorithm

Bernhard Riemann tr. by David R. Wilkins — On the Number of Prime Numbers Less Than a Given Quantity

J. Brian Conrey and David W. Farmer — Equivalences to the Riemann Hypothesis

Engineering Maths First Aid Kit — Integration as Summation

Math Centre — Integration as the Reverse of Differentiation

Daniel Panario, Murat Sahin and Qiang Wang — Generalized Alcuin’s Sequence

H. A. Priestly — Introduction to Groups, Rings and Fields

John Proos and Christof Zalka — Shor’s Discrete Logarithm Quantum Algorithm for Elliptic Curves

Don Zagier — Elliptic Modular Forms and Their Applications