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PARI/GP Development Headquarter PARI/GP Development Headquarter- Main site, with downloads, documentations, CVS, mailing lists, and FAQs. Debian Linux Pari/GP Debian Linux Pari/GP- Binaries available for download under GPL. Computational Number Theory Computational Number Theory- PARI-GP routines useful for number theory. Quaternion algebras; quadratic forms; Jacobians; invariants; elliptic units. Programming in Pari Programming in Pari- Hints by Ed Schaefer. Pari Reference Cards Pari Reference Cards- On the home page of Joseph Silverman. Aliquot Sequences Aliquot Sequences- Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring sites and software. Aliquot Sequences Aliquot Sequences- Aliquot sequences arise in iterating the sum-of-divisors function s. Bosma has calculated tables up to start value 50,000 and 80 digits. Perfect Number - from MathWorld Perfect Number - from MathWorld- Definitions and references. Aliquot Aliquot- Sequences with initial term up to 10,000, by Christophe Clavier. Multiply Perfect Numbers Multiply Perfect Numbers- Up-to-date information on multiperfect numbers and searchable database maintained by Achim Flammenkamp. Amicable Numbers Amicable Numbers- Observations on amicable pairs and their distribution, including Harshad and Happy Amicable pairs. Aliquot Sequences Aliquot Sequences- Results and software from Paul Zimmermann, addressing the Catalan Conjecture and working on the difficult "Lehmer Five" sequences. Perfect Numbers Perfect Numbers- A detailed history of the quest for perfect numbers, from Euclid to their present-day Mersenne discoveries. Aliquot Sequences Aliquot Sequences- Juan L. Varona's work on aliquot sequences examines sequences with start values up to 10000, and traces them to large composite values. A Prime Case of Chaos A Prime Case of Chaos- Article from Volume 4 of What's Happening in the Mathematical Sciences by Barry Cipra, describing conjectural links between the Riemann zeta function and ch… Critical Strip Explorer Critical Strip Explorer- Java applet developed by Raymond Manzoni for viewing zeta in the complex plane. Inexplicable Secrets of Creation Inexplicable Secrets of Creation- Zeta function site by Matthew Watkins. Directory of All Known Zeta Functions Directory of All Known Zeta Functions- A directory of websites maintained by Matthew Watkins on the topic of The Riemann Hypothesis and Zeta Function. Irrationality and Transcendence Irrationality and Transcendence- Lecture notes (PS) by David Angell, NSW. Zeta Values on the Web Zeta Values on the Web- A bibliography compiled by Wadim Zudilin on values of the zeta function with links to those papers available on-line. Vinogradov's Three Primes Theorem Vinogradov's Three Primes Theorem- Lecture notes on the home page of Timothy Gowers (DVI format). Riemann's Paper Riemann's Paper- "Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse" and in translation. Riemann's Zeta function Riemann's Zeta function- Notes by Xavier Gourdon and Pascal Sebah. Analytic Number Theory Analytic Number Theory- Lecture Notes by Noam Elkies, Harvard, 1998. Quadratic Fields Research Quadratic Fields Research- Notes by Richard Mollin. Notes for Dick Gross' Algebraic Number Theory Course Notes for Dick Gross' Algebraic Number Theory Course- Taken by Sean Sather-Wagstaff, Utah, Spring 1999. In PS and PDF formats. Algebraic Number Theory Algebraic Number Theory- Course notes by Robin Chapman, University of Exeter, May 2000. Algebraic Number Theory and Automorphic L-functions Algebraic Number Theory and Automorphic L-functions- Lecture notes by Ching-Li Chai, University of Pennsylvania. Multiplicities of Discriminants Multiplicities of Discriminants- Formulae and tables for the number of non isomorphic fields with a fixed signature and Galois group sharing a common discriminant. Algebraic Number Theory Algebraic Number Theory- A course by Keith Matthews. Lecture notes (GIF slides), bibliography, web resources.