What is number theory?

Number Theory

Number theory (or arithmetic) is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers).

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Some articles on number theory:

List Of Triangle Topics - Number Theory - Integers in Geometry
... Heronian triangle Integer triangle Pythagorean triple Triangular number. ...
Number Theory - Literature
... An introduction to the theory of numbers (rev ... Elements of Number Theory (reprint of the 1954 ed.) ... Number theory ...
List Of People From Tamil Nadu - Scholars - Mathematics
... Subbayya Sivasankaranarayana Pillai (1901–1950), known for his work in number theory Kollagunta Gopalaiyer Ramanathan (1920–1992), known for his ... Ramanujam (1938–1974), worked on number theory and algebraic geometry T ... Vijayaraghavan (1902–1955), worked on Pisot-Vijayaraghavan number Ravindran Kannan, Professor of Computer Science and Mathematics at Yale University ...
Multiple Zeta Function - References
... (1984), "Dirichlet series related to the Riemann zeta function", Journal of Number Theory 19 (1) 85–102, doi10.1016/0022-314X(84)90094-5, ISSN 0022-314X, MR 0751166 Crandall, Richard E ... Proceedings of the Session in Analytic Number Theory and Diophantine Equations, Bonner Math ... Number Theory 6 (3) 501–514 ...
Ludwig Stickelberger - Mathematical Contributions - Number Theory
... Three joint papers with Frobenius deal with the theory of elliptic functions ... of the reciprocity laws in algebraic number fields ... field as a module over its abelian Galois group (cf Iwasawa theory) ...

Famous quotes containing the words theory and/or number:

    It makes no sense to say what the objects of a theory are,
    beyond saying how to interpret or reinterpret that theory in another.
    Willard Van Orman Quine (b. 1908)

    At thirty years a woman asks her lover to give her back the esteem she has forfeited for his sake; she lives only for him, her thoughts are full of his future, he must have a great career, she bids him make it glorious; she can obey, entreat, command, humble herself, or rise in pride; times without number she brings comfort when a young girl can only make moan.
    Honoré De Balzac (1799–1850)