(Ilmumisaeg: 28-Feb-2025, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470476236)
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Loe edasi...
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Loe edasi...
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...
We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spac...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...
Belabas and Cohen present a number of analytic and arithmetic numerical methods used in number theory, with a particular emphasis on the ones that are less known than they should be, though they also discuss very classical tools as well. As is of...Loe edasi...
In order to provide a streamlined and rigorous account of the explicit formulas of Riemann and von Mangoldt in analytic number theory, Plymen looks at the race between the prime counting function and the logarithmic integral forms. This emphasize...Loe edasi...
From a June 2018 international conference in Sacramento, California, 13 papers present original contributions to the areas of vertex algebras and number theory, survey some of the most important topics pertaining to these fields, introduce new fi...Loe edasi...
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at th...Loe edasi...
To celebrate the 75th anniversary of the Societys research journal Mathematics of Computation, mathematicians gathered in Providence, Rhode Island during November 2018 for a symposium on the current state of the field. The 16 survey articles and...Loe edasi...
(Ilmumisaeg: 01-Dec-2019, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470447540)
Koukoulopoulos introduces analytic number theory to beginning graduate students and to advanced undergraduate students with a good grasp of analytic techniques. His emphasis in on exposing the main ideas rather than providing the most general res...Loe edasi...
The 2016 meeting of the biennial mathematics school was in Sarajevo, Bosnia and Herzegovina, and the 29 lectures consider such aspects of automorphic forms as noncommutative modular symbols and Eisenstein series, an algebraic and analytic approac...Loe edasi...
Some of the 17 papers in this collection are not based on presentations at the workshop, which was held in Vienna during October 2013, but all relate to Cogdells work. Among the topics are the local transfer and reducibility of induced representatio...Loe edasi...
Editors A. C. Cojocaru, C. David, and F. Pappalardi present readers with a text highlighting presentations at a conference given in honor of the sixtieth birthday of mathematician M. Ram Murty in Montral, Canada in October of 2013. The selections...Loe edasi...
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geome...Loe edasi...
The three conferences memorialized the passing of Mandelbrot, widely considered the founder of fractal geometry, and the 18 papers here are a selection from all of them. They discuss such topics as extreme risk and fractal regularity in finance, zeta...Loe edasi...
Paycha seeks to clarify some aspects of regularization techniques, which are used to make sense of divergent integrals, discrete sums, or traces. There is nothing groundbreaking here, she says, just a unified perspective based on pedestrian proofs on...Loe edasi...
A wide range of topics is addressed by the 15 papers. Among them are the number of points in an Artin-Schreier covering, the characteristic polynomials of abelian varieties of dimension four over finite fields, new bounds on the maximum number of poi...Loe edasi...