The Vertical Generalization Of Goldbach S Conjecture An Infinite Class Of Conjectures Stronger Than Goldbach S
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The Vertical Generalization Of Goldbach S Conjecture An Infinite Class Of Conjectures Stronger Than Goldbach S
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Author : Andrei-Lucian Drăgoi
language : en
Publisher: Dr. Andrei-Lucian Drăgoi
Release Date : 2021-07-30
The Vertical Generalization Of Goldbach S Conjecture An Infinite Class Of Conjectures Stronger Than Goldbach S written by Andrei-Lucian Drăgoi and has been published by Dr. Andrei-Lucian Drăgoi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-30 with Mathematics categories.
This work proposes the generalization of the binary (strong) Goldbach’s Conjecture, briefly called “the Vertical Binary Goldbach’s Conjecture”, which is essentially a meta-conjecture because it states an infinite number of conjectures stronger than Goldbach’s, which all apply on “iterative” primes with recursive prime indexes, with many potential theoretical and practical applications in mathematics and physics) and a very special self-similar property of the primes subset of positive integers.
The Vertical Generalization Of The Binary Goldbach S Conjecture As Applied On Iterative Primes With Recursive Prime Indexes I Primeths
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Author : Andrei-Lucian Drăgoi
language : en
Publisher: Infinite Study
Release Date :
The Vertical Generalization Of The Binary Goldbach S Conjecture As Applied On Iterative Primes With Recursive Prime Indexes I Primeths written by Andrei-Lucian Drăgoi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
This article proposes a synthesized classification of some Goldbach-like conjectures, including those which are “stronger” than the Binary Goldbach’s Conjecture (BGC) and launches a new generalization of BGC briefly called “the Vertical Binary Goldbach’s Conjecture” (VBGC), which is essentially a metaconjecture, as VBGC states an infinite number of conjectures stronger than BGC, which all apply on “iterative” primes with recursive prime indexes (i-primeths).
Solved And Unsolved Problems In Number Theory
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Author : Daniel Shanks
language : en
Publisher: American Mathematical Society
Release Date : 2024-01-24
Solved And Unsolved Problems In Number Theory written by Daniel Shanks and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-24 with Mathematics categories.
The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers.
Uncle Petros And Goldbach S Conjecture
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Author : Apostolos Doxiadis
language : en
Publisher: Faber & Faber
Release Date : 2012-11-15
Uncle Petros And Goldbach S Conjecture written by Apostolos Doxiadis and has been published by Faber & Faber this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-15 with Fiction categories.
Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.
The Riemann Hypothesis
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Author : Peter B. Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
The Riemann Hypothesis written by Peter B. Borwein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.
The Millennium Prize Problems
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Author : James A. Carlson
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
The Millennium Prize Problems written by James A. Carlson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
"On May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute announced the creation of a US$7 million prize fund for the solution of seven important classic problems that have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize problems gives the official description of each of the seven problems and the rules governing the prizes"--Information screen.
Prime Numbers
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Author : Richard Crandall
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-07
Prime Numbers written by Richard Crandall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-07 with Mathematics categories.
Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field
Not Always Buried Deep
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Author : Paul Pollack
language : en
Publisher: American Mathematical Soc.
Release Date :
Not Always Buried Deep written by Paul Pollack and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Mathematical Mysteries
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Author : Calvin C. Clawson
language : en
Publisher: Springer
Release Date : 2013-11-09
Mathematical Mysteries written by Calvin C. Clawson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Mathematics categories.
A meditation on the beauty and meaning of numbers, exploring mathematical equations, describing some of the mathematical discoveries of the past millennia, and pondering philosophical questions about the relation of numbers to the universe.
Book Of Proof
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Author : Richard H. Hammack
language : en
Publisher:
Release Date : 2013-05
Book Of Proof written by Richard H. Hammack and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05 with Mathematics categories.
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.