Examples of using Algebraic number theory in English and their translations into Greek
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a basic problem of algebraic number theory, bears some resemblance with ramification in geometry.
object of study in commutative algebra, algebraic number theory and algebraic geometry.
its proof involves deep results of both algebraic number theory and algebraic geometry.
differential geometry, and algebraic number theory; and for his stimulation of mathematical cooperation and research.
differential geometry, and algebraic number theory; and for his stimulation of mathematical cooperation and research.
Algebraic Number Theory.
This intuition also serves to define ramification in algebraic number theory.
Every textbook on elementary number theory(and quite a few on algebraic number theory) has a proof of quadratic reciprocity.
a subfield of algebraic number theory.
Again this is important in algebraic number theory, where for example one often discusses the absolute Galois group of Q,algebraic closure of Q.">
Again this is important in algebraic number theory, where for example one often discusses the absolute Galois group of Q,
familiar in number theory and algebraic geometry is the construction of the p-adic completion of the integers with respect to a prime p.
e.g. number theory/ algebraic geometry in cryptography.
parts of Erich Hecke's Theorie der algebraischen Zahlen(Theory of algebraic numbers).
parts of Erich Hecke's Theorie der algebraischen Zahlen(Theory of algebraic numbers).
Algebraic number theory, in which the properties of numbers are studied through algebraic systems.
Algebraic number theory is also used in the study of arithmetic hyperbolic 3-manifolds.
History of algebraic number theory.
Algebraic number theory interacts with many other mathematical disciplines.
used in algebraic number theory.