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Rosen Elementary number theory and its applications
Javeria Javeria
Number Theory: New York Seminar 1991–1995
1996 •
Gregory Chudnovsky
Problems In Elementary Number Theory
2007 •
Harun Siljak
I would like to stress that this book is unfinished. Any and all feedback, especially about errors in the book (even minor typos), is appreciated. I also appreciate it if you tell me about any challenging, interesting, beautiful or historical problems in elementary number theory (by ...
Dr. M. Shanmuga Sundari* Dr. S. Sagathevan**
A STUDY ON ALGEBRAIC NUMBER THEORY AND ITS APPLICATIONS
Publisher ijmra.us UGC Approved
Current study explains the concept of Algebraic Number Theory and its applications. Study was based on the literature and descriptive in nature. Algebraic number theory is a rich and diverse subfield of abstract algebra and number theory, applying the concepts of number fields and algebraic numbers to number theory to improve upon applications such as prime factorization and primarily testing. In this study, researchers begin with an overview of algebraic number fields and algebraic numbers and then move into some important results of algebraic number theory, focusing on the quadratic, or Gauss reciprocity law.
Independently published
Topics in Number Theory: an Olympiad-Oriented Approach
2018 •
Masum Billal, Amir Parvardi
This challenging book contains fundamentals of elementary number theory as well as a huge number of solved problems and exercises. The authors, who are experienced mathematical olympiad teachers, have used numerous solved problems and examples in the process of presenting the theory. Another point which has made this book self-contained is that the authors have explained everything from the very beginning, so that the reader does not need to use other sources for definitions, theorems, or problems. On the other hand, Topics in Number Theory introduces and develops advanced subjects in number theory which may not be found in other similar number theory books; for instance, chapter 5 presents Thue's lemma, Vietta jumping, and lifting the exponent lemma (among other things) which are unique in the sense that no other book covers all such topics in one place. As a result, this book is suitable for both beginners and advanced-level students in olympiad number theory, math teachers, and in general whoever is interested in learning number theory.
ELEMENTARY NUMBER THEORY AND ITS APPLICATIONS INSTRUCTOR'S SOLUTIONS MANUAL
A Sarathchandra
Some Problems in Elementary Number Theory and Modular Forms
1998 •
Giuseppe Melfi
Introduction The general structure of this work reeects the main problems that I studied as a PhD student at the University of Pisa (1993{1997). There are ve chapters, which deal with three diierent topics: Practical numbers (Chapters 1 and 2); Sum-free sequences (Chapter 3); Arithmetical identities related to the theory of modular forms (Chapters 4 and 5). In Chapter 1 we extensively survey the theory of practical numbers, i.e., those positive integers m such that every positive integer n < m can be represented as a sum of distinct positive divisors of m. This theory has recently received attention for some unexpected similarities with the properties of primes. We deal with both arithmetical and analytical aspects of the theory. Among other things, we prove the analogue of Goldbach's conjecture for practical numbers, showing that every even positive integer can be expressed as a sum of two practical numbers. This result gives a positive answer to a conjecture raised in 1984 ...
A Successful Senior Seminar: Unsolved Problems in Number Theory
2014 •
Robert Styer
provides nice problems suitable for a typical math major. We give examples of problems that have worked well in our senior seminar course and some nice results that senior math majors can obtain. We conclude with a brief overview of how we implement our seminar.
Nova Science Publishers
Fundamental Perceptions in Contemporary Number Theory
2023 •
Kannan J
The current state and future directions of numerous facets of contemporary number theory are examined in this book ”Fundamental Perceptions in Contemporary Number Theory” from a unified standpoint. The theoretical foundations of contemporary theories are unveiled as a consequence of simple challenges. Additionally, this book makes an effort to present the contents as simply as possible. It is primarily intended for novice mathematicians who have tried reading other works but have struggled to comprehend them due to complex reasoning.
Lecture Notes in Computer Science
Algorithmic Number Theory
2004 •
Jaap Top
