The Liouville lambda function, denoted by λ(n) and named after Joseph Liouville, is an important arithmetic function. Its value is +1 if n is the product of an ... |
| Функция Лиувилля |  |
В теории чисел, функция Лиувилля — мультипликативная арифметическая функция, равная +1, если число является произведением чётного числа простых чисел, и −1 в противном случае.
Точнее, пусть — факторизация числа, — простые числа, — натуральные... Википедия
The Liouville function is implemented in the Wolfram Language as LiouvilleLambda[n]. The Liouville function is connected with the Riemann zeta function. |
Although none of the functions AT{u) graphed is positive there, the strong upward trend suggested the conjecture that L{x) is positive for some x near 9.05-108. |
6 окт. 2013 г. · The idea is that all the divisors will cancel in pairs of 1 and −1 when n is a perfect square, except the divisor 1, and so the sum will total 1. Asymptotic behavior of the summatory Liouville function liouville lambda function - Mathematics Stack Exchange Sum of Liouville's function - Mathematics Stack Exchange Values of the Liouville function - Mathematics Stack Exchange Другие результаты с сайта math.stackexchange.com |
Videolar 15 окт. 2020 г. · This establishes a "99% version" of Elliott's conjecture for multiplicative functions taking values in the roots of unity of some order. |
25 янв. 2008 г. · The Liouville function λ(n) is the completely multiplicative function defined by ... Liouville function, Pólya's sum, Turán's sum, Riemann ... |
The Liouville function (n) is the completely multiplicative func- tion whose value is 1 at each prime. We develop some algorithms for com- puting the sum T ... |
9 февр. 2015 г. · In this note we give a short and self-contained proof that, for any \delta > 0, \sum_{x \leq n \leq x+x^\delta} \lambda(n) = o(x |
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