- Improved bounds for five-term arithmetic progressions
2023/12/17 by James Leng, Leng, James, Ashwin Sah +3 · 3 citations
Mathematics · #Analytic Number Theory Research #Arithmetic #Arithmetic progression #Bohr model #Cardinality (data modeling) #Combinatorics #Combinatorics (math.CO) #Computer science #Constant (computer programming) #Discrete mathematics #FOS: Mathematics #Geometry #Inverse #Limits and Structures in Graph Theory #Mathematical Approximation and Integration #Mathematics #Number Theory (math.NT) #Physics #Set (abstract data type) #Term (time)
- A quantitative improvement for Roth's theorem on arithmetic progressions
2014/05/31 by T. F. Bloom, Thomas F. Bloom · 1 citation
Mathematics · #Analytic Number Theory Research #Arbitrary-precision arithmetic #Arithmetic circuit complexity #Arithmetic progression #Binary logarithm #Limits and Structures in Graph Theory #Mathematical Approximation and Integration #Saturation arithmetic #Table (database) #math.CO #math.NT
- Heron quadrilaterals with sides in arithmetic or geometric progression
1999/04/01 by Ralph H. Buchholz, James A. MacDougall · 1 citation
Mathematics · #History and Theory of Mathematics #Mathematics and Applications #Mathematical Dynamics and Fractals #Quadrilateral #Mathematics #Geometric progression #Arithmetic #Elliptic curve #Arithmetic progression #Square (algebra) #Pure mathematics #Algebra over a field #Combinatorics #Geometry #Mathematical analysis
- An application of Lovász' local lemma‐A new lower bound for the van der Waerden number
1990/09/01 by Zoltán Szabó · 1 citation
Mathematics · Engineering · Computer Science · #Limits and Structures in Graph Theory #graph theory and CDMA systems #Coding theory and cryptography #Van der Waerden's theorem #Combinatorics #Integer (computer science) #Lemma (botany) #Mathematics #Upper and lower bounds #Arithmetic progression #Discrete mathematics #Computer science #Biology #Mathematical analysis
- On sets of integers containing k elements in arithmetic progression
1975/01/01 by Endre Szemerédi, E. Szemerédi · 12 citations
Computer Science · Mathematics · #Analytic Number Theory Research #Arithmetic #Arithmetic progression #Combinatorics #Discrete mathematics #Graph Labeling and Dimension Problems #Limits and Structures in Graph Theory #Mathematics