A Collection of Algebraic Identities
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000: Introduction
0010: Article 0 (Pi Formulas 1)
0011: Article 1 (The j-function)
0012: Article 2 (Tribonacci constant and Pi)
0013: Article 3 (Pi Formulas and the Monster)
0014: Article 4 (Golden Ratio and Nested Radicals)
0015: Article 5 (Ramanujan's continued fractions)
0016: Article 6 (Ramanujan's Pi formulas)
0017: Article 7 (More Ramanujan continued fractions)
0018: Article 8 (Sagan's Identity)
0019: Article 9 (More Pi Formulas)
0020: Article 10 (Mengoli's Six-Square Problem, or MSP)
0021: Article 11 (Euler Bricks and Quadruples)
0021b: Article 12 (A Solvable 17th Degree Equation)
0021c: Article 13 (Pfister's 16-Square Identity)
0021d: Article 14 (Euler Four-Square Variants)
0021e: Article 15 (A Quartic Diophantine Equation)
0022: Part 1, The 163 Dimensions
0023: Part 2, Prime Generating Polynomials
0024: Part 3 (Under construction)
0025: Part 4, Watson's Triple Integrals
0026: Part 5, Complete Elliptic Integral of the First Kind
0027: Part 6, Ramanujan's pi formulas and the hypergeometric function
0027b: Part 6b, Complex series for pi
0027c: Part 6c, Complex series for K(k)
0028: Part 7, Singular Moduli and Dedekind eta function
0029: Part 8, Series Reversions
001a: Assorted Identities, Part 1 (Various Forms)
001b: Assorted Identities, Part 2 (Waring-like Problems)
001c: Assorted Identities, Part 3 (Equal Sums of Like Powers)
002: Pythagorean Triples and more
003: Sum / Sums of two squares
004: Sum / Sums of three squares
005: Sums of four or more squares
005b: Sums of n squares
006: Quadratic Polynomial as a kth Power
007: Simultaneous Polynomials made squares
008: Pell Equations
009: Diophantine Equations and Pell Equations
010: Sum / Sums of Three Cubes, Part 1
011: Sum / Sums of Three Cubes, Part 2
012: Cubic Polynomial as a kth Power
013: Sum / Sums of two Fourth Powers
014: Sums of three Fourth Powers (Part 1)
015: Sums of three Fourth Powers (Part 2)
016: Sums of three Fourth Powers (Part 3)
017: Sums of four or more Fourth Powers
018: Quartic Polynomials as kth Powers
019: Equal Sums of Like Powers and the Prouhet-Tarry-Escott (PTE) Problem
020: Fifth Powers (4 or 6 Terms)
021: Fifth Powers (7 or 8 Terms)
022: Fifth Powers (8, 10, 12 terms)
023: Sixth Powers (4 or 6 terms)
024: Sixth Powers (6 or 8 terms)
025: Sixth Powers (8 terms)
026: Seventh Powers (8, 9, 10 terms)
027: Seventh Powers (10 terms)
028: Eighth Powers
029: Ninth Powers
030: Tenth Powers
031: Eleventh and Higher Powers
Updates Page
Updates Page 01: Jan
Updates Page 02: Feb
Updates Page 03: Mar
Updates Page 04: April
Updates Page 06: June
Updates Page 07: July
Updates Page 08: Aug
The Ramanujan Pages
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Recent site activity
0020: Article 10 (Mengoli's Six-Square Problem, or MSP)
edited by Tito Piezas
014: Sums of three Fourth Powers (Part 1)
edited by Tito Piezas
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Updates Page
Starting this year, in addition to putting updates in the main body, I'll also be collecting them in a page for those who want to see what changes have been made.
Just click on the links below
.
I. 2010
Jan
Feb
Mar
Apr
May (none)
Jun
Jul
Aug
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