We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong unifor...Loe edasi...
The method can be viewed as an extension of the work of Godement-Jacquet (1972) for the standard L-function of GLn and is expected to work for all classical groups. We will consider the Archimedean local theory and the global theory in our future wo...Loe edasi...
Provides an introduction to an active area of research that lies at the intersection of number theory, p-adic analysis, algebraic geometry, singularity theory, and theoretical physics. The book introduces p-adic analysis, the theory of zeta func...Loe edasi...
This brief monograph on the gamma function by a major 20th century mathematician was designed to bridge a gap in the literature of mathematics between incomplete and over-complicated treatments. Topics include functions, the Euler integrals and the...Loe edasi...
Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. 1971 edition. Nearly 200 proble...Loe edasi...
Emil Artin was one of the great mathematicians of the twentieth century. Artin had a great influence on the development of mathematics in his time, both by means of his many contributions to research and by the high level and excellence of his teachi...Loe edasi...
(Ilmumisaeg: 01-Jun-2005, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821838365)
Discusses the theory of gamma function. This book covers properties related to the integral representations for \Gamma(x). It explores the properties of functions defined via series of factorials: \Omega(x)=\sum s\! a_s/(x(x+1)\ldots(x+s)), with...Loe edasi...
Sari: Oxford Lecture Series in Mathematics and Its Applications
(Ilmumisaeg: 25-Jul-2002, Hardback, Kirjastus: Oxford University Press, ISBN-13: 9780198507840)
The point of the technique is to describe the asymptotic behavior of families of minimum problems. This textbook was developed from a lectures series for doctoral students in applied functional analysis to describe all the main features of the conver...Loe edasi...
The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power ha...Loe edasi...
Studies the local theory for certain Rankin-Selberg convolutions for the standard L-function of degree 21n of generic representations of \textnormal{SO}_{2\ell +1}(F)\times \textnormal{GL}_n(F) over a local field F. This book is suitable for...Loe edasi...
