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math.NT2018
A generalization of a theorem of Nagell
Yulu Feng, Shaofang Hong, Xiao Jiang +1
Let be a positive integer. In 1915, Theisinger proved that if , then the -th harmonic sum is not an integer. Let and be positive in…
math.NT2018
The Igusa local zeta functions of superelliptic curves
Qiuyu Yin, Shaofang Hong
Let be a local field and be a non-constant polynomial. The local zeta function was first introduced by Weil, then studied in detail by Igusa. When ${…