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Salem Sets with No Arithmetic Progressions
(Oxford University Press, 2017-04)
We construct compact Salem sets in R/Z of any dimension (including 1), which do not contain any arithmetic progressions of length 3. Moreover, the sets can be taken to be Ahlfors regular if the dimension is less than 1, ...
The least prime in certain arithmetic progressions
(Mathematical Association of America, 2009-12)
Dirichlet’s theorem states that, if a and n are relatively prime integers, there are infinitely many primes in the arithmetic progression n + a, 2n + a, 3n + a,.... However, the known proofs of this general result are not ...
Improved bounds on the dimensions of sets that avoid approximate arithmetic progressions
(Birkhauser Boston Inc, 2021-02)
We provide quantitative estimates for the supremum of the Hausdorff dimension of sets in the real line which avoid ε-approximations of arithmetic progressions. Some of these estimates are in terms of Szemerédi bounds. In ...
The Progress Arithmetics, Book A, 1938.
(The Macmillan Company, 2016)
Progressões aritméticas de ordem superior : resultados e aplicações
(Mestrado Profissional em MatemáticaUniversidade Federal de Sergipe, 2019)
Sequências e Progressões
(Universidade Federal do Rio Grande do NorteBrasilUFRNEspecialização em Ensino de Matemática para o Ensino Médio, 2016-07-23)
A interdisciplinaridade no ensino de progressões aritméticas e geométricas por meio de softwares matemáticos
(Universidade Federal de Santa MariaBrasilUFSMCentro de Tecnologia, 2019-03-08)
Today technologies are present in the daily lives of almost all people, especially young people. These young people immersed in the technological world sometimes when entering the classroom see themselves in a completely ...
Use of arithmetic progression of the pearson correlation coefficient for prediction of surface distortion of ornamental rocksUtilização da progressão aritmética do coeficiente de correlação de pearson para previsão da descaracterização superficial de rochas ornamentais
(2019-12-19)
In accelerated aging of dimension stones in SO2 saturated chamber, the physico-chemical interactions has the purpose of simulate its exposure to acid rain. The presence of SO2, H2O, added to incident solar radiation ...
Important mathematical concepts at the dawn of science in Byzantium : the philosopher C. M. Psellos.
(2011-10-13)
The Byzantine Empire, an empire that lasted over one thousand years, is acknowledged nowadays as the spiritual source of the European intellectual rebirth of the middle ages. What really distinguishes this great state from ...
Elliptic Curves with Long Arithmetic Progressions Have Large Rank
(Oxford University Press, 2021)
© 2020 The Author(s). Published by Oxford University Press. All rights reserved.For any family of elliptic curves over the rational numbers with fixed $j$-invariant, we prove that the existence of a long sequence of rational ...