We first review basic concepts from elementary number theory, including the notion of primes, greatest common divisors, congruences and Euler's phi function. The number theoretic concepts and Sage ...

Abstract: Information Theory and Statistics: A Tutorial is concerned with applications of information theory concepts in statistics, in the finite alphabet setting. The topics covered include large ...

There are several research groups at UCL working in algebraic number theory: The research of Dokchitser and his team lies in the field of explicit arithmetic geometry, and primarily concerns the ...

Diophantus, who likely inherited foundational ideas from Thymaridas of Paros, laid fundamental work for algebra by exploring solutions to linear equations that later influenced modern mathematics.

Abstract: When no samples are available to estimate a probability distribution, we have to invite some domain experts to evaluate the belief degree that each event will occur. Perhaps some people ...