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Algebra & Number Theory is a peer-reviewed mathematics journal published by the nonprofit organization Mathematical Sciences Publishers. [1] It was launched on January 17, 2007, with the goal of "providing an alternative to the current range of commercial specialty journals in algebra and number theory, an alternative of higher quality and much lower cost."
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 is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."
1.1 Algebra and number theory. ... Download as PDF; Printable version; ... The cutting stock problem with a constant number of object lengths [13] Knot triviality ...
Download as PDF; Printable version; ... Algebraic number theory is both the study of number theory by algebraic methods and ... Hasse invariant of an algebra; Hasse ...
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 ...
The hyperelliptic curve defined by = (+) (+) has only finitely many rational points (such as the points (,) and (,)) by Faltings's theorem.. In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. [1]
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