Distribution of residues modulo p
S. Gun, Florian Luca, P. Rath, B. Sahu, R. Thangadurai (2007)
Acta Arithmetica
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Displaying similar documents to “Lower bound of real primitive L-function at s=1”
Distribution of residues modulo p
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We prove inequalities that compare the size of an S-regulator with a product of heights of multiplicatively independent S-units. Our upper bound for the S-regulator follows from a general upper bound for the determinant of a real matrix proved by Schinzel. The lower bound for the S-regulator follows from Minkowski's theorem on successive minima and a volume formula proved by Meyer and Pajor. We establish similar upper bounds for the relative regulator of an extension l/k of number fields. ...
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