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3 papers · 2 filters
On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field
Fumiya Amano, Yasushi Mizusawa, Masanori Morishita
We introduce mod 3 triple Milnor invariants and triple cubic residue symbols for certain primes of the Eisenstein number field , following the analogies betw…
Torus knots and quantum modular forms
Kazuhiro Hikami, Jeremy Lovejoy
In this paper we compute a -hypergeometric expression for the cyclotomic expansion of the colored Jones polynomial for the left-handed torus knot and use this to defi…
Existence of Hilbert cusp forms with non-vanishing -values
Shingo Sugiyama, Masao Tsuzuki
We give a derivative version of the relative trace formula on PGL(2) studied in our previous work, and obtain a formula of an average of central values (derivatives) of automorphic…