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Everything about Beatty sequence
Integers formed by rounding down the integer multiples of a positive irrational number
In mathematics, a Beatty sequence is the sequence of integers found by taking the floor of the positive multiples of an irrational number that is greater than one. Beatty sequences are named after Samuel Beatty, who wrote about them in 1926. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Beatty sequenceA 5-minute orientation
- Skim a recent paper: KLOOSTERMAN SUMS WITH BEATTY SEQUENCES AND APPLICATIONInfluential work since 2022
- Pick up a classic book: SonnetsThe most-reprinted book on the subject
- Read the landmark paper: Piatetski-Shapiro primes in a Beatty sequenceCited 18 times
- Go sideways: Periodic continued fractionA closely related topic
- Go sideways: Wythoff arrayA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Piatetski-Shapiro primes in a Beatty sequence
SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE
A certain power series associatedwith a Beatty sequence
Carmichael numbers composed of primes from a Beatty sequence
On the characteristic word of the inhomogeneous Beatty sequence
Representations of integers as sums of primes from a Beatty sequence
Generalized Beatty sequences
Consecutive primes and Beatty sequences
🆕 Influential since 2022
📚 Books worth reading
- 📕SonnetsGeorge Henry Boker, Sculley Bradley · 1929
- 📕Petrologic studiesGeological Society of America · 1962
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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