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The Galois group of a specialized polynomial

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#number-theory #galois-theory #algebraic-number-theory #irreducible-polynomials #function-fields
573
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Computing the norm of a principal ideal in a quadratic number field

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#abstract-algebra #number-theory #modules #algebraic-number-theory
1.4k
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How to show that cusp of congruence subgroup $\Gamma_0(4)$ is $0,\frac{1}{2},\infty$？

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#abstract-algebra #number-theory #algebraic-number-theory #modular-forms #elliptic-functions
388
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Local Artin map and the Weil group

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#number-theory #algebraic-number-theory #class-field-theory
68
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Problem calculating the power of an ideal in quadratic field

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#abstract-algebra #group-theory #number-theory #finite-groups #algebraic-number-theory
225
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Can we find Gaussian primes $\pi = 1 + 8 \mathbb{Z}[i]$ with $N(\pi) < 1000$?

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#prime-numbers #algebraic-number-theory #class-field-theory #sagemath
71
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How can $p^f-p^{f-1}$ divide 2?

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#algebraic-number-theory #extension-field #roots-of-unity
151
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Reference of Artin Conjecture

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#reference-request #algebraic-number-theory #math-history
53
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Absolute value of the difference is sufficiently small implies the quotient is close to 1

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#algebraic-number-theory #valuation-theory #local-field
336
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Prime ideal contains an integer

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#algebraic-number-theory #ideals #maximal-and-prime-ideals
665
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Good Books on Complex Multiplication (on Elliptic Curves)

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#complex-analysis #algebraic-number-theory #analytic-number-theory #elliptic-curves #modular-forms
149
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Prove that the ring of integers contains a non-trivial unit

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#number-theory #algebraic-number-theory #integer-lattices
527
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How to prove that the values of Eisenstein Series $E_2$ are algebraic integers?

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#complex-analysis #algebraic-number-theory #analytic-number-theory #elliptic-curves #modular-forms
157
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Fractional ideal which is not invertible

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#proof-verification #algebraic-number-theory
1.5k
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Question about proof that an algebraic integer is a unit if and only if it has norm $\pm 1$.

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#abstract-algebra #number-theory #galois-theory #algebraic-number-theory

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