Highest perfect power of a product of integers less than x.

Autor:	Goudout, Élie
Předmět:	INTEGERS MATHEMATICAL bounds PRIME factors (Mathematics) ESTIMATES FACTORIZATION
Zdroj:	International Journal of Number Theory; Aug2018, Vol. 14 Issue 7, p2043-2044, 2p
Abstrakt:	For x ≥ 3 , we define w ( x ) as the highest integer w for which there exist integers m , y ≥ 1 and 1 ≤ n 1 < ⋯ < n m ≤ x such that n 1 ⋯ n m = y w . We show that w ( x ) = x exp − ( 2 + o ( 1 ) ) log x log log x . [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu