MEAN VALUES OF ARITHMETIC FUNCTIONS IN SHORT INTERVALS AND IN ARITHMETIC PROGRESSIONS IN THE LARGE‐DEGREE LIMIT
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DOI: 10.1112/mtk.12032
Abstract: A classical problem in number theory is showing that the mean value of an arithmetic function is asymptotic to its mean value over a short interval or over an arithmetic progression, with the interval as… read more here.
Keywords: large degree; arithmetic progressions; degree limit; interval ... See more keywords
Measures of irrationality for hypersurfaces of large degree
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DOI: 10.1112/s0010437x17007436
Abstract: We study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of projective space, and the minimal gonality of a… read more here.
Keywords: large degree; measures irrationality; irrationality hypersurfaces; hypersurfaces large ... See more keywords