453 citations · 1.4k across the 121 of their papers we have counts for
11 papers · 1 filter
A Generalized Numeration Base
Florentin Smarandache
A Generalized Numeration Base is defined in this paper, and then particular cases are presented, such as Prime Base, Square Base, m-Power Base, Factorial Base, and operations in th…
Considerations on New Functions in Number Theory
Florentin Smarandache
In this paper a small survey is presented on eighteen new functions and four new sequences, such as: Inferior/Superior f-Part, Fractional f-Part, Complementary function with respec…
G Add-On, Digital, Sieve, General Periodical, and Non-Arithmetic Sequences
Florentin Smarandache
In this paper a small survey is presented on fourteen sequences, such as: G Add-on Sequences, Sieve Sequences, Digital Sequences, Non-Arithmetic Progressions, recreational sequence…
Thirty-Six Unsolved Problems in Number Theory
Florentin Smarandache
Partially or totally unsolved questions in number theory and geometry especially, such as coloration problems, elementary geometric conjectures, partitions, generalized periods of…
Another Set of Sequences, Sub-Sequences, and Sequences of Sequences
Florentin Smarandache
In this paper 101 new integer sequences, sub-sequences, and sequences of sequences, together with related unsolved problems and conjectures, are presented. Also, definitions, examp…
A Set of Sequences in Number Theory
Florentin Smarandache
74 new integer sequences are introduced in number theory, and for each of them is given a characterization, followed by open problems. each one a general question: how many primes…