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We study the quadratic case of a conjecture made by Van der Geer and Schoof about the behaviour of certain functions which are defined over the group of Arakelov divisors of a number field. These functions correspond to the standard function for divisors of algebraic curves and we prove that they reach their maximum value for principal Arakelov divisors and nowhere else. Moreover, we consider a function , which is an analogue of exp defined on the class group, and we show it also assumes its...
Vengono descritte varie relazioni che legano l'ordinamento di alcuni simboli base, come cifre o lettere, agli ordinamenti delle sequenze formate da quei simboli, ad esempio numeri o parole. Si esaminano diversi casi, nella pratica matematica e nell'esperienza comune, sul piano teorico e didattico. La situazione presenta vari aspetti più complicati di quanto usualmente si pensi.
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