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Showing that $x^2+5=y^3$ has no integer solutions.

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#number-theory #algebraic-number-theory #diophantine-equations #dedekind-domain
116
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Number of regular primes in an order is finite

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#commutative-algebra #algebraic-number-theory
527
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degree of a sum of two algebraic numbers

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#algebraic-number-theory #minimal-polynomials
949
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The Galois group acts on prime factors of an ideal of an integer ring as a permutation?

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#number-theory #algebraic-number-theory
79
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Show that $ | \mathbb Z[\sqrt{-1}]/(a+b\sqrt{-1}) |=a^2+b^2 $

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#abstract-algebra #number-theory #modules #algebraic-number-theory #gaussian-integers
136
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Sums and Products of Algebraic and Transcendental numbers

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#number-theory #algebraic-number-theory #irrational-numbers #rational-numbers #transcendental-numbers
143
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Computing the genus of the function field $y^l=(x-a_1)^{n_1}\cdots (x-a_m)^{n_m}$

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#algebraic-number-theory #algebraic-curves #function-fields
271
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Is it possible get an algebraic expression for $\sin 1°$ that does not contain roots of negative values?

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#trigonometry #algebraic-number-theory #real-numbers
482
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Subrings of Quadratic Integer Ring

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#abstract-algebra #ring-theory #algebraic-number-theory
491
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When integer rings are Euclidean domains

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#abstract-algebra #number-theory #algebraic-number-theory
84
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Doubt about a paragraph in the book "Algebraic Number Theory by Neukirch".

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#algebraic-number-theory
126
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Quotient cancellation for invertible ideals of orders in quadratic fields

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#algebraic-number-theory #ideals #integers #quotient-group
98
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Class field axiom III-1 in Serre's "Local Fields"

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#algebraic-number-theory #class-field-theory
841
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Show that an ideal of the ring of integers of a real number field is not principal

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#number-theory #ring-theory #algebraic-number-theory #ideals #maximal-and-prime-ideals
70
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Notation for idele group?

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#number-theory #notation #algebraic-number-theory

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