Abstract: We formulate and prove the analog of the Ramanujan Conjectures for modular forms of half-integral weight subject to some ramification restriction in the setting of a polynomial ring over a ...

Often neither the exact density nor the exact cumulative distribution function (c.d.f.) of a statistic of interest is available in the statistics and econometrics literature (e.g., the maximum ...

This is a preview. Log in through your library . Abstract Let {Xt} be a discrete multivariate Gaussian autoregressive process of order 1. The paper derives the exact finite-sample joint moment ...

ABSTRACT: A brief history of the Centre for Mathematical and Statistical Sciences, Kerala, India, is given and an overview of Mathai’s research and education programs in the following topics is ...

Abstract: In this paper we propose a new message-passing algorithm for quadratic optimization. The design of the new algorithm is based on linear coordinate-descent between neighboring nodes. The ...

Training and Research Unit/Sciences and Technology, University of Ouahigouya, Mèra, Burkina Faso. Quadratic forms are used in many fields of mathematics: different results for the classification of ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

An equation of the form \(y = mx + c\) where \(m\) and \(c\) are numbers, gives a straight line when values of \(x\) and corresponding values of \(y\) are plotted on a grid. A straight line is a ...

THESE are Nos. 3, 4, and 5 of the Cambridge Tracts in Mathematics and Mathematical Physics, which are intended to help students by providing them with brief and readable introductions to mathematical ...