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Why is Hodge more difficult than Tate?

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#algebraic-geometry #arithmetic-geometry #open-problem #hodge-theory
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How can we produce another geek clock with a different pair of numbers?

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#problem-solving #open-problem #natural-numbers
958
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How to prove there are an infinite number of squarefree numbers of the form $2^p-1$?

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#number-theory #open-problem
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Solving P vs NP with computer

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#logic #computer-science #open-problem
2.4k
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What are possibilities to disprove the Collatz Conjecture?

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#number-theory #open-problem #collatz-conjecture
76
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Strict positivity on the diagonal of a particular integral kernel: A question from Simon's Schrödinger Semigroups

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#spectral-theory #open-problem #mathematical-physics
3.6k
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Can someone explain the ABC conjecture to me?

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#number-theory #open-problem
8.8k
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Lists of open problems in set theory

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#set-theory #big-list #open-problem
775
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When is $\left\lfloor \frac {7^n}{2^n} \right\rfloor \bmod {2^n} \ne 0\;$?

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#number-theory #diophantine-equations #open-problem
1.2k
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Which side has winning strategy in Go?

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#game-theory #open-problem
1.9k
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How many partial order on a n-set?

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#combinatorics #open-problem
197
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Dissecting a polyomino to tile a copy rotated $45^\circ$ and scaled by $\sqrt{2}$

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#combinatorics #open-problem #polyomino #dissection
194
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Question regarding the status of Erdős' conjectures

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#conjectures #open-problem
2.2k
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Hausdorff Dimension of Arbitrary Julia Set

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#complex-analysis #reference-request #fractals #geometric-measure-theory #open-problem
282
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An open problem on general topology

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#general-topology #examples-counterexamples #open-problem

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