D.O - Number Theory 1

Ogni curioso dei numeri Primi, “i mattoni con cui si costruiscono tutti gli altri numeri”, sa che la ricerca di una semplice formula per “distinguere nell'ambito degli interi positivi tutti i numeri……続きを見る

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers. It can also be used as a supplementary reference for ……続きを見る

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to……続きを見る

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to……続きを見る

Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give fo……続きを見る

Studienarbeit aus dem Jahr 2001 im Fachbereich Mathematik - Zahlentheorie, Note: 1,0, Rheinisch-Westfälische Technische Hochschule Aachen (Lehrstuhl A für Mathematik), Sprache: Deutsch, Abstract: vo……続きを見る

In this critically acclaimed international bestseller, Petros Papachristos, a mathematical prodigy, has devoted much of his life trying to prove one of the greatest mathematical challenges of all ti……続きを見る

Starting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It show……続きを見る

The solution of one of the many mathematical conjectures The conjecture of Syracuse (better known as the Collatz conjecture) is one of the many mathematical conjectures still waiting for proof. In t……続きを見る

La dimostrazione definitiva di una famosa congettura matematica La congettura di Siracusa (meglio nota come la congettura di Collatz) è una delle tante congetture matematiche ancora in attesa di dim……続きを見る

Fibonacci’s sequence Almost all scholars say that Fibonacci has invented his very famous sequence by observing the reproduction of rabbits or other phenomena occurring in nature. In this text, Rolan……続きを見る

The book intends to give a modern presentation of the classical Markov and Lagrange spectrum, which are fundamental objects from the theory of Diophantine approximations and of their several general……続きを見る

Collatz conjecture proof kept busy a lot of mathematician to demonstrate. An italian mathematician found the solution The conjecture of Syracuse (better known as the Collatz conjecture) is one of th……続きを見る

This book consists of the expanded notes from an upper level linear algebra course given some years ago by the author. Each section, or lecture, covers about a week's worth of material and includes ……続きを見る

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations. Written by leading authorities on the topic, this treatise is designe……続きを見る

This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics. It is desi……続きを見る

Il cosiddetto Ultimo teorema di Fermat, formulato nel 1637 da Pierre de Fermat, altro non era che una congettura. Forse fu chiamato teorema perché egli dichiarò di averlo dimostrato in un’annotazion……続きを見る

This introduction to cryptography employs a programming-oriented approach to study the most important cryptographic schemes in current use and the main cryptanalytic attacks against them. Discussion……続きを見る

This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enrich……続きを見る

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceedi……続きを見る

It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that from the time of L.……続きを見る

This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of thi……続きを見る

Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the histor……続きを見る

This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techn……続きを見る

Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their conne……続きを見る

Il saggio affronta gli eventi salienti dell’evoluzione storica e filosofica del concetto di numero. Una sorta di compendio, uno sguardo panoramico dalla numerazione arcaica sumera, agli assiomi dell……続きを見る

In this book, control and filtering problems for several classes of stochastic networked systems are discussed. In each chapter, the stability, robustness, reliability, consensus performance, and/or……続きを見る

This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structur……続きを見る

This text introduces cryptography, from its earliest roots to cryptosystems used today for secure online communication. Beginning with classical ciphers and their cryptanalysis, this book proceeds t……続きを見る

The first time I faced Syracuse conjecture I thought it was easier to start from any number n and to arrive to ni 続きを見る