不可约二次多项式除数平均数的显式上界。
Explicit upper bound for the average number of divisors of irreducible quadratic polynomials.
作者信息
Lapkova Kostadinka
机构信息
Institute of Analysis and Number Theory, Graz University of Technology, Kopernikusgasse 24/II, 8010 Graz, Austria.
出版信息
Mon Hefte Math. 2018;186(4):663-673. doi: 10.1007/s00605-017-1061-y. Epub 2017 May 27.
Abstract
Consider the divisor sum for integers and . We extract an asymptotic formula for the average divisor sum in a convenient form, and provide an explicit upper bound for this sum with the correct main term. As an application we give an improvement of the maximal possible number of -quadruples.
摘要
考虑整数(m)和(n)的除数和。我们以一种方便的形式提取平均除数和的渐近公式，并给出该和带有正确主项的显式上界。作为一个应用，我们改进了(n)-四元组的最大可能数量。
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引用本文的文献
1
Correction to: Explicit upper bound for the average number of divisors of irreducible quadratic polynomials.对《不可约二次多项式除数平均数的显式上界》的修正
Mon Hefte Math. 2018;186(4):675-678. doi: 10.1007/s00605-018-1177-8. Epub 2018 Mar 24.
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