The factoriality of Zariski rings
Jeffrey Lang (1987)
Compositio Mathematica
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Jeffrey Lang (1987)
Compositio Mathematica
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P. Elliott (1967)
Acta Arithmetica
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Paolo Francini (2001)
Journal de théorie des nombres de Bordeaux
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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...
Daniel Shanks, Peter Weinberger (1972)
Acta Arithmetica
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R. J. Stroeker (1979)
Compositio Mathematica
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Philippe Cassou-Noguès, Anupam Srivastav (1990)
Journal de théorie des nombres de Bordeaux
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Masao Toyoizumi (1983)
Acta Arithmetica
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Alan Candiotti (1974)
Compositio Mathematica
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