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Partial sums of arithmetical functions

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In this post we're going to look at some very interesting generalized formulas for computing the partial sums of some arithmetical functions.

Continued fraction factorization method

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The factorization method that we'll discuss in this post, it's called the continued fraction factorization method (CFRAC), and is quite an old method, but still pretty interesting, sharing many concepts and ideas with other modern factorization methods.

Interesting exercises and identities in number theory

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In this post I would like to present some interesting exercises in number theory, along with some curious formulas and identities for some number-theoretic functions.

Investigating the Fibonacci numbers modulo m

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The Fibonacci sequence is, without doubt, one of the most popular sequences in mathematics and in popular culture, named after Italian mathematician Leonardo of Pisa (also known as Fibonacci, Leonardo Bonacci, Leonardo of Pisa, Leonardo Pisano Bigollo, or Leonardo Fibonacci), who first introduced the numbers in Western European with his book Liber Abaci, in 1202.