Everything about Divisor
Integer that divides another integer
In mathematics, a divisor of an integer also called a factor of is an integer that may be multiplied by some integer to produce In this case, one also says that is a multiple of An integer is divisible or evenly divisible by another integer if is a divisor of ; this implies dividing by leaves no remainder. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: DivisorA 5-minute orientation
- Skim a recent paper: Divided Square Divisor Cordial and Fibonacci Prime Labeling of Theta Graphs in PythonInfluential work since 2022
- Pick up a classic book: Divisor theoryThe most-reprinted book on the subject
- Read the landmark paper: The Zero-Divisor Graph of a Commutative RingCited 994 times
- Go sideways: Greatest common divisorA closely related topic
- Go sideways: Practical numberA closely related topic
📖 Definitions
Noun In an expression involving division, the number by which another number is being divided.
Noun An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
Noun A ring element which can be multiplied (by some other ring element) to yield a third ring element, the first being called a divisor of the third. If the ring is noncommutative, then one specifies whether a divisor is left, right, or two-sided.
Noun Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces. An element of the free abelian group on the points of the space. A Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes). A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The Zero-Divisor Graph of a Commutative Ring
Pitfalls of normalization of marine geochemical data using a common divisor
Generalized implicit function theorems with applications to some small divisor problems, I
The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface
On the zero-divisor graph of a commutative ring
The zero-divisor graph of a commutative semigroup
Spectrophotometric multicomponent determination of sunset yellow, tartrazine and allura red in soft drink powder by double divisor-ratio spectra derivative, inverse least-squares and principal component regression methods
Greatest common divisor via generalized Sylvester and Bezout matrices
🆕 Influential since 2022
Divided Square Divisor Cordial and Fibonacci Prime Labeling of Theta Graphs in Python
The Wiener index of the zero-divisor graph of Zn
The Wiener index of the zero-divisor graph of a finite commutative ring with unity
A graph-theoretic approach to ring analysis: Dominant metric dimensions in zero-divisor graphs
Orientifold Calabi-Yau threefolds with divisor involutions and string landscape
📚 Books worth reading
Divisor theoryHarold M. Edwards · 1990- 📕DivisorsRichard R. Hall · 1988
A Practical ArithmeticGeorge Payn Quackenbos, George Roberts Perkins · 1869
Density of prime divisors of linear recurrencesChristian Ballot · 1995
Dynamical systems and small divisorsHakan Eliasson, Sergei Kuksin · 2002- 📕Small divisor problem in the theory of three-dimensional water gravity wavesGérard Iooss · 2009
Asymptotic prime divisorsStephen McAdam · 1983
An introduction to the theory of special divisors on algebraic curvesPhillip A. Griffiths · 1980
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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