N. A. Carella
Summatory Mobius Function, and Summatory Liouville Function.
Пнд, 06/13/2011 - 15:01 — SomNambulAuthors: N. A. Carella
Subjects: General Mathematics
AbstractThe orders of magnitudes of the summatory Liouville function L(x), and the
summatory Mobius function M(x), are unconditionally proven to be of the forms
L(x) = O(x^.5)), and M(x) = O(x^.5) respectively. Furthermore, applications of
these estimates to zeta functions and L-functions are also considered.- 9 комментариев
- login or register to post comments
Note On the Irrationality of the L-Function Constants L(s, X).
Чт, 05/12/2011 - 15:01 — SomNambulAuthors: N. A. Carella
Subjects: Number Theory
AbstractA unified proof of the irrationality of the special values L(n, X), n > 1 an
integer, of the beta L-function is put forward in this note. The first case of
n = 2 seems to confirm that the Catalan constant L(2, X) is an irrational
number.- 23 комментария
- login or register to post comments
A Totient Function Inequality.
Чт, 02/11/2010 - 16:01 — SomNambulAuthors: N. A. Carella
Subjects: Number Theory
AbstractA new unconditional inequality of the totient function is contributed to the
literature. This result is associated with various unsolved problems about the
distribution of prime numbers.- 4 комментария
- login or register to post comments
A Divisor Function Inequality.
Пт, 12/11/2009 - 16:01 — SomNambulAuthors: N. A. Carella
Subjects: Number Theory
AbstractThis short note provides an unconditional proof of a well known inequality of
the divisor function. Furthermore, the technique is completely elementary.A Note on the Zero-Free Regions of the Zeta Function.
Втр, 09/01/2009 - 12:47 — SomNambulAuthors: N. A. Carella
Subjects: General Mathematics
AbstractThis short note contributes a new zero-free region of the zeta function. This
zero-free region has the form {s : Re(s) > a}, where a > 0 is a constant.
Вход в систему
