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Questions
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What heuristic evidence is there concerning the unboundedness or boundedness of Mordell-Weil ranks of elliptic curves over $\Bbb Q$?

jan 1 11 at 17:23 Joe Silverman 7,800●24●45

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What is the spectrum of the ring of entire functions?

mar 15 12 at 15:37 Andreas Blass 32.9k●4●54●109

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Can you show rank E(Q) = 1 exactly for infinitely many elliptic curves E over Q without using BSD?

aug 13 10 at 15:06 William Stein 1,856●8●19

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What is the etymology for the term conductor?

mar 25 10 at 16:07 Franz Lemmermeyer 17.2k●1●38●101

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Is the ABC conjecture known to imply the Riemann hypothesis?

aug 26 10 at 18:34 Jamie Weigandt 2,123●1●11●20

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Can you get Siegel’s theorem “for free” from modularity and Mazur’s Eisenstein Ideal paper?

aug 31 10 at 5:50 Franz Lemmermeyer 17.2k●1●38●101

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Why are they called L-functions?

apr 15 10 at 7:26 Paul Broussous 2,105●1●5●9

 
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For which composite $N$ does $X_0(N)$ possess a non-cuspidal rational point?

sep 22 10 at 21:54 Pete L. Clark 39.5k●3●102●225