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What is Functions of LCM and GCD in Tuples about?

The paper presents explicit formulas for counting tuples of positive integers with the same least common multiple (lcm) and greatest common divisor (gcd). It derives properties of these arithmetic functions and explores their relationships, including a generalization of the gcd-lcm relationship for integer tuples. Additionally, the author identifies novel integer sequences and provides proofs for the main results discussed.

Author

Diablo

Language

EN