Jean-Louis Sikorav
Published 2018-07-17Version 1
The concept of nearest integer is used to derive theorems and algorithms for the best approximations of an irrational by rational numbers, which are improved with the pigeonhole principle and used to offer an informed presentation of the theory of continued fractions.
Characterizing integers among rational numbers with a universal-existential formula
Root numbers of curves
The number of rational numbers determined by large sets of integers
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