Distribution of residues modulo p
S. Gun, Florian Luca, P. Rath, B. Sahu, R. Thangadurai (2007)
Acta Arithmetica
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S. Gun, Florian Luca, P. Rath, B. Sahu, R. Thangadurai (2007)
Acta Arithmetica
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Toru Komatsu (2002)
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András Biró, Kostadinka Lapkova (2016)
Acta Arithmetica
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We solve unconditionally the class number one problem for the 2-parameter family of real quadratic fields ℚ(√d) with square-free discriminant d = (an)²+4a for positive odd integers a and n.
Yoonjin Lee (2006)
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Iwao Kimura (2004)
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Shabnam Akhtari, Jeffrey D. Vaaler (2016)
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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. ...
Xiaobin Yin, Hourong Qin, Qunsheng Zhu (2005)
Acta Arithmetica
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Acta Arithmetica
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Acta Arithmetica
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