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The sums of the reciprocals of Fibonacci polynomials and Lucas
The sums of the reciprocals of Fibonacci polynomials and Lucas

2000 - CSU Math homepage
2000 - CSU Math homepage

ON THE DISTRIBUTION OF EXTREME VALUES
ON THE DISTRIBUTION OF EXTREME VALUES

... Theorem 1.5 does not hold in the range k ≥ c(log T log2 T )σ for any c > 12 (B(σ))σ . Concerning other families of L-functions, P.D.T.A Elliott [4] has established the analogue of Bohr and Jessen’s result for the family of quadratic Dirichlet L-functions, at a fixed point s, with 1/2 < Re(s) ≤ 1. Fu ...
the infinity of the twin primes
the infinity of the twin primes

Elementary Real Analysis - ClassicalRealAnalysis.info
Elementary Real Analysis - ClassicalRealAnalysis.info

... introduce new methods. In addition, we have tried to give students ample opportunity to see the new tools in action. For example, students often feel uneasy when they first encounter the various compactness arguments (Heine-Borel theorem, Bolzano-Weierstrass theorem, Cousin’s lemma, introduced in Se ...
On some polynomial-time primality algorithms
On some polynomial-time primality algorithms

4th ASU 1964 problems
4th ASU 1964 problems

An introduction to the Smarandache Square
An introduction to the Smarandache Square

Greatest Common Factor (GCF)
Greatest Common Factor (GCF)

M-100 7-1A GCF Factor Lec
M-100 7-1A GCF Factor Lec

Summary of lectures.
Summary of lectures.

Integers without large prime factors
Integers without large prime factors

ON THE ERROR TERM OF THE LOGARITHM OF THE LCM OF A
ON THE ERROR TERM OF THE LOGARITHM OF THE LCM OF A

Amicable Pairs, a Survey
Amicable Pairs, a Survey

The Goldston-Pintz-Yıldırım sieve and some applications
The Goldston-Pintz-Yıldırım sieve and some applications

Algebra II Module 1: Teacher Materials
Algebra II Module 1: Teacher Materials

On prime factors of integers which are sums or shifted products by
On prime factors of integers which are sums or shifted products by

numbers and uniform ergodic theorems
numbers and uniform ergodic theorems

Untitled
Untitled

Synopsis of linear associative algebra. A report on its natural
Synopsis of linear associative algebra. A report on its natural

Precalculus Notes
Precalculus Notes

Elementary Number Theory
Elementary Number Theory

Elementary Number Theory
Elementary Number Theory

Congruences
Congruences

Midterm #3: practice
Midterm #3: practice

1 2 3 4 5 ... 164 >

Vincent's theorem

In mathematics, Vincent's theorem—named after Alexandre Joseph Hidulphe Vincent—is a theorem that isolates the real roots of polynomials with rational coefficients.Even though Vincent's theorem is the basis of the fastest method for the isolation of the real roots of polynomials, it was almost totally forgotten, having been overshadowed by Sturm's theorem; consequently, it does not appear in any of the classical books on the theory of equations (of the 20th century), except for Uspensky's book. Two variants of this theorem are presented, along with several (continued fractions and bisection) real root isolation methods derived from them.
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