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math.NT2013
Perfect powers in Catalan and Narayana numbers
Sara Checcoli, Michele D'Adderio
When a Catalan number or a Narayana number is a (non-trivial) perfect power? For Catalan numbers, we show that the answer is "never". However, we prove that for every b, the Naraya…
math.NT2013
Tchebotarev theorems for function fields
Sara Checcoli, Pierre Dèbes
We prove Tchebotarev type theorems for function field extensions over various base fields: number fields, finite fields, p-adic fields, PAC fields, etc. The Tchebotarev conclusion…