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math.NT2019
Counting Egyptian fractions
Sandro Bettin, Loïc Grenié, Giuseppe Molteni +1
For any integer , let be the set of all Egyptian fractions employing denominators less than or equal to . We give upper and lower bounds for the cardi…
math.NT2019
Conditional upper bound for the k-th prime ideal with given Artin symbol
Loïc Grenié, Giuseppe Molteni
We prove an explicit upper bound for the k-th prime ideal with fixed Artin symbol, under the assumption of the validity of the Riemann hypothesis for the Dedekind zeta functions.