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Basic Number Theory is an influential book [1] by André Weil, an exposition of algebraic number theory and class field theory with particular emphasis on valuation-theoretic methods. Based in part on a course taught at Princeton University in 1961–62, it appeared as Volume 144 in Springer's Grundlehren der mathematischen Wissenschaften ...
Download as PDF; Printable version; In other projects ... This is a list of algebraic number theory topics. Basic topics. These topics are basic to the field, either ...
Some subjects generally considered to be part of analytic number theory, for example, sieve theory, [note 9] are better covered by the second rather than the first definition: some of sieve theory, for instance, uses little analysis, [note 10] yet it does belong to analytic number theory. The following are examples of problems in analytic ...
Bernoulli number. Agoh–Giuga conjecture; Von Staudt–Clausen theorem; Dirichlet series; Euler product; Prime number theorem. Prime-counting function. Meissel–Lehmer algorithm; Offset logarithmic integral; Legendre's constant; Skewes' number; Bertrand's postulate. Proof of Bertrand's postulate; Proof that the sum of the reciprocals of the ...
An Introduction to the Theory of Numbers is a classic textbook in the field of number theory, by G. H. Hardy and E. M. Wright. The book grew out of a series of lectures by Hardy and Wright and was first published in 1938. The third edition added an elementary proof of the prime number theorem, and the sixth edition added a chapter on elliptic ...
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers , finite fields , and function fields .
Number Theory: An Approach Through History from Hammurapi to Legendre is a book on the history of number theory, written by André Weil and published in 1984. [1]The book reviews over three millennia of research on numbers but the key focus is on mathematicians from the 17th century to the 19th, in particular, on the works of the mathematicians Fermat, Euler, Lagrange, and Legendre paved the ...
Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Theorems in number theory" The following 106 pages are in this category ...