Ciro Santilli
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Polynomial
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words: 805
articles: 46
Table of contents
805
46
Degree of a polynomial
Polynomial
Algebraic equation (Polynomial equation)
Polynomial
139
12
Named algebraic equation
Algebraic equation
6
Quadratic equation
Named algebraic equation
1
Quadratic formula
Quadratic equation
Cubic equation
Named algebraic equation
Quartic equation
Named algebraic equation
Quintic equation
Named algebraic equation
1
Abel-Ruffini theorem
Quintic equation
Algebraic number (Root of a polynomial)
Algebraic equation
139
4
Algebraic number field (
Q
)
Algebraic number
106
Algebraic function (Root of a polynomial)
Algebraic number
2
Transcendental number
Algebraic number
31
1
Transcendental number conjecture
Transcendental number
23
Diophantine equation
Polynomial
246
23
Pythagorean triple (
a
2
+
b
2
=
c
2
)
Diophantine equation
13
7
Euclid's formula
Pythagorean triple
4
2
There are infinitely many Pythagorean triples
Euclid's formula
4
Euclid's formula generates all Pythagorean triples
Euclid's formula
Classification of Pythagorean triples
Pythagorean triple
Taxicab number
Pythagorean triple
Fermat's last theorem
Pythagorean triple
9
1
Andrew Wiles
Fermat's last theorem
3
Hilbert's tenth problem (Determine if one Diophantine equation has a solution, 1970)
Diophantine equation
70
2
Undecidable Diophantine equation example
Hilbert's tenth problem
6
Hilbert's tenth problem over other fields
Hilbert's tenth problem
15
Additive number theory
Diophantine equation
114
11
Additive basis
Additive number theory
114
10
Additive basis theorem
Additive basis
114
9
Waring's problem (Every number is a sum of
g
positive numbers to the power of
k
)
Additive basis theorem
114
8
Waring's problem for squares
Waring's problem
25
3
Lagrange's four-square theorem (Every natural number is a sum of four squares, 1770)
Waring's problem for squares
Legendre's three-square theorem (iff not of form
4
a
(
8
b
+
7
)
, 1770)
Waring's problem for squares
Sum of two squares theorem
Waring's problem for squares
Waring problem variant
Waring's problem
73
3
Waring problem with negative numbers allowed
Waring problem variant
51
1
Sum of three cubes (Every number has infinitely many representations as the sum of three cubes)
Waring problem with negative numbers allowed
51
Waring-Goldbach problem
Waring problem variant
22
Named small order polynomial
Polynomial
11
1
Linear polynomial
Named small order polynomial
11
Galois theory
Polynomial
Irreducible polynomial
Polynomial
Multivariate polynomial
Polynomial
44
Polynomial over a field (
F
i
e
l
d
[
X
]
)
Polynomial
354
1
Polynomial over a ring
Polynomial over a field
115
Polynomial ring
Polynomial
11
Ancestors
Mathematics
Ciro Santilli's Homepage
Incoming links
Diophantine equation
Hilbert's problems
Linear polynomial
Multivariate polynomial
Polynomial over a ring