The value distribution of differences of additive arithmetic functions

On the value distribution of a class of arithmetic functions

This article deals with the value distribution of multiplicative prime-independent arithmetic functions (α(n)) with α(n) = 1 if n is N-free (N ≥ 2 a fixed integer), α(n) > 1 else, and α(2) → ∞. An asymptotic result is established with an error term probably definitive on the basis of the present knowledge about the zeros of the zetafunction. Applications to the enumerative functions of Abelian ...

conditional copula-garch methods for value at risk of portfolio: the case of tehran stock exchange market

ارزش در معرض ریسک یکی از مهمترین معیارهای اندازه گیری ریسک در بنگاه های اقتصادی می باشد. برآورد دقیق ارزش در معرض ریسک موضوع بسیارمهمی می باشد و انحراف از آن می تواند موجب ورشکستگی و یا عدم تخصیص بهینه منابع یک بنگاه گردد. هدف اصلی این مطالعه بررسی کارایی روش copula-garch شرطی در برآورد ارزش در معرض ریسک پرتفویی متشکل از دو سهام می باشد و ارزش در معرض ریسک بدست آمده با روشهای سنتی برآورد ارزش د...

Uniqueness And Value Distribution Of Differences Of Meromorphic Functions∗

The purpose of the paper is to study the uniqueness problems of difference polynomials of meromorphic functions sharing a small function. The results of the paper improve and generalize the recent results due to Liu, et al. [11] and Liu, et al. [12].

THE JOINT DISTRIBUTION OF q-ADDITIVE FUNCTIONS

Functional Analysis and Additive Arithmetic Functions

1. A function is arithmetic if it is defined on the positive integers. Those arithmetic functions which assume real values and satisfy f(ab)-f(a)+f(b) for mutually prime integers a, b are classically called additive. The following examples illustrate the interest of these functions, both for themselves and for their applications. An additive function is defined by its values on the prime powers...