Distribution of prime numbers - Feliksiak, Jan;Feliksiak, Monica U.
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This book discusses a wide range of topics related to the distribution of prime numbers. We develop the maximal prime gaps upper bounds, based on the binomial coefficients - the sharpest to date. Implementing the theory, we discuss several related historical conjectures, eg. the Brocard, Cramer's and Legendre's Conjectures to name a few. Next it presents an enhanced bound on the Mandl's inequality, the sharpest to date. The distribution of primes in a short interval follows, culminating with the proof of the Second Hardy-Littlewood Conjecture. The book is richly illustrated to aid in visual presentation of the pertinent concepts.…mehr

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Produktbeschreibung
This book discusses a wide range of topics related to the distribution of prime numbers. We develop the maximal prime gaps upper bounds, based on the binomial coefficients - the sharpest to date. Implementing the theory, we discuss several related historical conjectures, eg. the Brocard, Cramer's and Legendre's Conjectures to name a few. Next it presents an enhanced bound on the Mandl's inequality, the sharpest to date. The distribution of primes in a short interval follows, culminating with the proof of the Second Hardy-Littlewood Conjecture. The book is richly illustrated to aid in visual presentation of the pertinent concepts.
Autorenporträt
Jan Feliksiak graduated from the Monash University - Melbourne Australia. From 2002, he worked in mathematical research in the areas of analytical number theory and differential equations.Monica Feliksiak is making her first steps in mathematical research and publishing, hopefully she will spread her wings and excel in achieving her goals.