Two generalizations of Liouville λ function

نویسندگان

چکیده

We study the properties of two classes functions $\lambda_k$ and $\tilde{\lambda}_k$ that generalize Liouville $\lambda$ function, including some equivalencies between Riemann hypothesis assertions about asymptotic behavior summatory $\tilde{\lambda}_k.$ Similar results are obtained for generalization Möbius function considered by Tanaka.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Two Point Correlation Function of Sine-Liouville Theory

Exact two point correlation functions of sine-Liouville theory are presented for primary fields with U(1) charge neutral, which may either preserve or break winding number. Our result is checked with perturbative calculation and is also consistent with previous one which can be obtained by restricting the action parameters. PACS numbers: 11.25.Hf, 11.55.Ds [email protected] [email protected]...

متن کامل

Two Generalizations of Landau’s Inequality

Let π(x) be the number of prime numbers not exceeding x . In the introduction we present some inequalities related to this function; these have been presented in several articles about the Number Theory. In the present paper we obtain two inequalities which generalize Landau’s Inequality, π(2x) 2π(x) for any integer x 2 . Also, we obtain the inequality 2[xπ(x) + yπ(y)] > (x + y)π(x + y) , for a...

متن کامل

Togs (generalizations of Two-graphs)

We generalize two-graphs (\unitogs") to \togs", structures consisting of sets of polygons or cycles in a graph that satisfy speciied relations. Togs are equivalent to switching classes of signings of a particular base graph. We develop a mechanism for generating and proving examples and apply it to unitogs (based on complete graphs), bipartite, tripartite, and multi-partite togs (based on compl...

متن کامل

‏‎interpersonal function of language in subtitling

‏‎translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...

15 صفحه اول

The Factorial Function and Generalizations

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive o...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Notes on Number Theory and Discrete Mathematics

سال: 2023

ISSN: ['1310-5132', '2367-8275']

DOI: https://doi.org/10.7546/nntdm.2023.29.1.30-39