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15
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Equivalent Valuations

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#abstract-algebra #algebraic-geometry #algebraic-number-theory #valuation-theory
217
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The coefficients of normalized Hecke eigenforms except for finite primes.

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#algebraic-number-theory #modular-forms
47
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Quadratic forms with common real zeros

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#algebraic-geometry #algebraic-number-theory #algebraic-curves #quadratic-forms
261
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Leopoldt's Conjecture and Congruence Subgroups of Prime Ideal Powers

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#number-theory #algebraic-number-theory
81
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Under What assumptions on $p$, $\mathcal{O}_K^* \simeq \mathbb{Z}_p^{*} \oplus \mathbb{Z}_p^{*}$

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#algebraic-number-theory #class-field-theory #local-field
918
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About the definition of l-adic Tate-twist

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#reference-request #algebraic-number-theory #etale-cohomology #galois-cohomology
235
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Does there always exist an algebraic integer in a number field whose discriminant divides its norm?

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#number-theory #algebraic-number-theory
155
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Absolute value of tensor product of fields

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#field-theory #algebraic-number-theory #normed-spaces #absolute-value #class-field-theory
513
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Ramification degree of field extension of the 5-adic field obtained by adjoining a primitive third root of unity

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#abstract-algebra #algebraic-number-theory #extension-field #p-adic-number-theory #ramification
45
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Question about decomposition of ring of regular functions on a fibre of an etale cover

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#algebraic-geometry #algebraic-number-theory
115
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$P(x,y) = n$ iff $n$ is NOT a perfect square

Published on
#number-theory #polynomials #algebraic-number-theory
194
Views

facing a small obstacle while trying to proof Wolstenholme's theorem 1 using multiplicative inverse in (mod p)

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#number-theory #proof-verification #prime-numbers #algebraic-number-theory
254
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What is the norm function in $\mathcal{O}_{\mathbb{Q}(\zeta_8)}$?

Published on
#algebraic-number-theory
98
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Every element in $\mathbb{Q}[\sqrt[5]{2}]$ has a multiple in $\mathbb{Q}_+[\sqrt[5]{2}]$

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#algebraic-number-theory
59
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Unit of the form $n\alpha + m \beta \sqrt{d}$ in real quadratic fields

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#number-theory #algebraic-number-theory

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