163

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7
References and applications involving the Krull Toplogy
7
Why do congruence conditions not suffice to determine which primes split in non-abelian extensions?
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Non-existence ofintegral basis of integral closure in a finite extension of Frac(A), A Dedekind.
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Do Abel summation and zeta summation always coincide?
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Proofs by induction
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Equivalence of Finiteness of Class number to Property of Ideals of Algebraic Integers
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Proof of no rational point on Selmer’s Curve 3x^3+4y^3+5z^3=0
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Galois descent, explicit inverse map
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Can I derive the Boltzmann distribution by an invariance argument?
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Collecting proofs that finite multiplicative subgroups of fields are cyclic.
5
Logical equivalences for FTA
5
V. A. Gorbatov and 4-color problem
5
Errata for Atiyah-Macdonald
5
The word “torsion” and its connection to geometry and homology
5
Good references for analytic solutions to nonlinear ordinary differential equations?
5
Practical applications of algebraic number theory?
5
Calculating the infinite product from the Hardy-Littlewood Conjecture F
5
Alternative proof of unique factorization for ideals in a Dedekind ring
5
Extending methods from Lubin-Tate theory
5
On the determination of a quadratic form from its isotropy group
5
Quick computation of the Pontryagin dual group of torus
5
D K Faddeev’s construction of quaternionic fields
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Embedding algebraic integers as a lattice
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Text/structure for an analysis course for students with pre-existing understanding of some applied aspects of analysis
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Fiddling with p-adics
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Primes of the form a^2+1
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Ranks of free submodules of free modules
4
Examples where it’s useful to know that a mathematical object belongs to some family of objects
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Suggestions for teaching advanced high school students
3
Longest coinciding pair of integer sequences known
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