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math.NT2016★ 6 cited
Sieves and the Minimal Ramification Problem
Lior Bary-Soroker, Tomer M. Schlank
The minimal ramification problem may be considered as a quantitative version of the inverse Galois problem. For a nontrivial finite group , let be the minimal integer …
math.NT2016★ 3 cited
Is a bivariate polynomial with plus minus 1 coefficients irreducible? Very likely!
Lior Bary-Soroker, Gady Kozma
We prove that a random bivariate polynomial with plus minus 1 coefficients is irreducible with high probability.