(Izdošanas datums: 28-Feb-2025, Hardback, Izdevniecība: 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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
(Izdošanas datums: 01-Dec-2019, Hardback, Izdevniecība: 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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
