Open Directory - Science: Math: Number Theory: Tables

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: Science
: Math
: Number Theory
: Tables (22)

Elliptic Curves and Modular Forms@ (15)
Factoring@ (10)

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Science: Math: Reference: Tables (6)

A Database for Number Fields - By Jürgen Klüners and Gunter Malle. Polynomials for all transitive groups up to degree 15, for most of the possible combinations of signature and Galois group. Up to degree 7 the fields with minimal (absolute) discriminant with given Galois group and signature are included.
Algorithmic Number Theory: Tables and Links - Compiled by Noam Elkies.
Algorithms for Solving Index Form Equations and Computing Power Integral Bases - Lists of results, description of algorithms and tables of numerical data, by István Gaál.
Cubic Field Extensions - Tables and results on cubic number fields by Daniel A. Mayer.
Database of Local Fields - By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p.
Dedekind Zeta Functions - Tabulated by Eyal Goren using Pari.
Enumeration of Twin Primes and Brun's Constant - Enumeration of the twin primes, and the sum of their reciprocals, to 1.6 × 10^15. An improved estimate is obtained for Brun's constant, B2 = 1.90216 05824 ± 0.00000 00030. Error analysis is presented to support the opinion that the stated error bound represents a 99 % confidence level.
Extended Counts of Twin Primes - By Thomas Nicely. Counts in decades up to 10^12 then in steps of 10^12 up to 3.10^15, giving 3,310,517,800,844 pairs.
Fermat Near-misses - Noam Elkies. Approximate solutions in integers.
Imaginary Quadratic Fields - Tables of the fields with class number at most 23.
Number Fields with Prescribed Ramification - Number fields of degree up to seven ramified at only a few small primes.
Numbers bn ±(b-1) - Summarizes efforts to factorize or to prove primality of integers.
Practical Numbers - A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Giuseppe Melfi.
Pseudoprimes and Carmichael Numbers - Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^17 compiled by Richard Pinch.
Tables and Computations - Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.
The First 100,000 Prime Numbers - A Project Gutenberg etext.
The First 498 Bernoulli Numbers - A Project Gutenberg etext.
The Mathematical Foundation: Publications - Primes and various other tables available on DVD or CD. Free copies available for donation to some institutions.
The Positive Integers - Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.
The Value of Zeta(3) to 1,000,000 Decimal Digits - A Project Gutenberg etext.
Vanishing Fermat Quotients - R. Ernvall and T. Metsänkylä. Tables of the pairs (p,k) such that the Fermat quotient q(k) = (k^{p-1}-1)/p vanishes mod p. The tables cover the primes p up to one million and, for each prime, the range 1 < k < p.
Zeroes of the Riemann Zeta Function - By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.

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