Tallteori

Число Пи, отношение длины окружности к ее диаметру, известно уже тысячи лет. Еще до нашей эры древние математики нашли приближения для числа Пи с точностью до двух знаков (3,1). …

During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive …

The famous "nontrivial zeros" are a set of complex numbers that produce zero when given to Riemann's zeta function. This set of numbers influences the distribution of the prime …

The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures …

This monograph originates from a study of the continued fraction [1, 2, 3, ...], which we call the Zopf number. This is followed by the generalized Zopf numbers which can be …

In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of …

This book deals with the characterization of extensions of number fields in terms of the decomposition of prime ideals, and with the group-theoretic questions arising from this …

In analytic number theory a large number of problems can be "reduced" to problems involving the estimation of exponential sums in one or several variables. This book is a thorough …

Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of …

While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple …