New developments in combinatorial number theory and applications

2010 ◽  
pp. 233-251
Author(s):  
Jean Bourgain
Keyword(s):  
Number Theory ◽  
New Developments ◽  
Combinatorial Number Theory

Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory

2012 ◽  
Vol 9 (4) ◽  
pp. 2985-3059
Author(s):  
Vitaly Bergelson ◽  
Nikos Frantzikinakis ◽  
Terence Tao ◽  
Tamar Ziegler
Keyword(s):  
Number Theory ◽  
Ergodic Theory ◽  
Combinatorial Number Theory

Topological dynamics and combinatorial number theory

1978 ◽  
Vol 34 (1) ◽  
pp. 61-85 ◽  
Author(s):  
H. Furstenberg ◽  
B. Weiss
Keyword(s):  
Number Theory ◽  
Topological Dynamics ◽  
Combinatorial Number Theory

Number Theory: A Very Short Introduction

2020 ◽  
Author(s):  
Robin Wilson
Keyword(s):  
Number Theory ◽  
Short Introduction ◽  
New Developments ◽  
Leonhard Euler

Number Theory: A Very Short Introduction explains the branch of mathematics primarily concerned with the counting numbers, 1, 2, 3, …. Long considered one of the most ‘beautiful’ areas of mathematics, number theory dates back over two millennia to the Ancient Greeks, but has seen some startling new developments in recent years. Trailblazers in the field include mathematicians Euclid of Alexandria, Pierre de Fermat, Leonhard Euler, and Carl Friedrich Gauss. Number theory has intrigued and attracted amateurs and professionals alike for thousands of years, appearing in both recreational contexts (puzzles) and practical concerns (cryptography). Some problems in number theory are easy, whereas others are notorious with no known solutions to date.

scholarly journals Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory

2019 ◽  
Author(s):  
Mauro Di Nasso ◽  
Isaac Goldbring ◽  
Martino Lupini
Keyword(s):  
Number Theory ◽  
Ramsey Theory ◽  
Combinatorial Number Theory

Some nonstandard methods in combinatorial number theory

Studia Logica ◽  
1988 ◽  
Vol 47 (3) ◽  
pp. 265-278 ◽  
Author(s):  
Steven C. Leth
Keyword(s):  
Number Theory ◽  
Combinatorial Number Theory
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