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Is there any research problems in number theory an undergrad can give a try?

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#reference-request #big-list
76
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Looking for economics research article that applies concepts from real analysis.

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#real-analysis #reference-request #economics
276
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Does every 2-torus embedded in $\mathbb{R}^4$ bound a compact $3$-manifold?

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#reference-request #differential-topology
255
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Who said (a variation of) this? "Mathematics didn't teach me how to reason correctly, but [...] how easy it is to make an error when reasoning."

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#reference-request #education #math-history #learning #mathematicians
200
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Expressing tensor product in terms of symmetric product and exterior product

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#linear-algebra #reference-request #multilinear-algebra
48
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Name of the theorem used for testing the primality of a number

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#elementary-number-theory #reference-request #prime-numbers #primality-test
150
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A book as complete as Hartshorne, but "better" on the intuition side

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#algebraic-geometry #reference-request #intuition
100
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Reference for: a Lebesgue integrable function and its rearrangements have the same Lebesgue integral.

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#measure-theory #reference-request #lebesgue-integral #lebesgue-measure
204
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How should one find complete sets of invariants for vectors whose elements can be permuted by a given group?

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#abstract-algebra #polynomials #reference-request #invariant-theory
209
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Which of the open problems in Halmos's Lectures on Ergodic Theoy are still open today?

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#reference-request #ergodic-theory
52
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Theory by exercices.

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#reference-request
97
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LR-rule and Standard Young Tableau counting

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#combinatorics #reference-request #symmetric-functions #young-tableaux
155
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Connectivity of random network

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#probability #reference-request #random-graphs #network
89
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Show that these non-linear recursions produce integers only

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#polynomials #reference-request #recurrence-relations #fibonacci-numbers #integers
1.1k
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Gauss-bonnet just for geodesic triangles

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#differential-geometry #reference-request #curvature #geodesic #stokes-theorem

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