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Is Algebraic Number Theory still an active research field?

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#number-theory #soft-question #algebraic-number-theory #research
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How to find integer hyperbola points?

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#number-theory
710
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$p^{q+1}+ q^{p+1}$ is a perfect square.

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#number-theory #arithmetic
116
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What is the minimum and maximum of $\phi(d) \tau(n/d)$ where $d$ runs through the divisors of $n$?

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#number-theory
251
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Integer combinations of two irrational numbers equal to an integer

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#number-theory #algebraic-number-theory
63
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Ideal class defined in terms of linear fractional ideal is chern class?

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#abstract-algebra #number-theory #algebraic-geometry #algebraic-topology
187
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Why is $ p-a$ a quadratic residue if $a$ is a quadratic residue?

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#abstract-algebra #number-theory #elementary-number-theory
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$n \phi (m) = m\phi (n)$ implies $n=m$ (Euler totient)

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#number-theory #totient-function
51
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Why has the interval changed from p-1 to p/2?

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#abstract-algebra #number-theory #elementary-number-theory
72
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Can I complete the euclidean case without elliptic-curve-theory?

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#number-theory #elementary-number-theory #diophantine-equations #perfect-powers
56
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Question about the partitions of a natural number

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#abstract-algebra #number-theory #prime-numbers #integer-partitions
203
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Prime does not divide index in the ring of integers

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#number-theory #algebraic-number-theory #irreducible-polynomials
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How to find the key matrix of a 2x2 Hill Cipher?

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#matrices #number-theory #elementary-number-theory #cryptography
59
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Roots of an equation of order $4$.

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#calculus #number-theory #algebraic-number-theory
38
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Difference between consecutive Dirichlet series coefficients

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#complex-analysis #number-theory #analysis #analytic-number-theory

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