Large positive and negative values of Hardy’s $Z$-function
نویسندگان
چکیده
منابع مشابه
Formulas for Positive, Negative and Zero Values of the Möbius Function
Abstract. We obtained the formulas for the quantities of positive, negative and zero values of the Möbius function for any real x in terms of the Möbius function values for square root of x – similar to the identities we found earlier for the Mertens function [1]. Using the Dirac delta function approach [3, 2] we propose the equations showing how the Mertens and related functions can generate t...
متن کاملThe entropic prior for distributions with positive and negative values
The maximum entropy method has been used to reconstruct images in a wide range of astronomical fields, but in its traditional form it is restricted to the reconstruction of strictly positive distributions. We present an extension of the standard method to include distributions that can take both positive and negative values. The method may therefore be applied to a much wider range of astronomi...
متن کاملThe relationship between positive and negative affect and psychosocial function in the corona epidemic: the mediating role of psychological resilience
The aim of this study was to investigate the mediating role of psychological resilience in the relationship between positive and negative emotions and the psychosocial functioning of individuals during the corona. The design of the present study was descriptive correlation and path analysis was applied. The statistical population included Iranian adults, of which 461 people participated in this...
متن کاملOn $z$-ideals of pointfree function rings
Let $L$ be a completely regular frame and $mathcal{R}L$ be the ring of continuous real-valued functions on $L$. We show that the lattice $Zid(mathcal{R}L)$ of $z$-ideals of $mathcal{R}L$ is a normal coherent Yosida frame, which extends the corresponding $C(X)$ result of Mart'{i}nez and Zenk. This we do by exhibiting $Zid(mathcal{R}L)$ as a quotient of $Rad(mathcal{R}L)$, the ...
متن کاملذخیره 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: Proceedings of the American Mathematical Society
سال: 2019
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/14483