TY - JOUR
T1 - Quantum j-invariant in positive characteristic II
T2 - formulas and values at the quadratics
AU - Demangos, L.
AU - Gendron, T. M.
N1 - Publisher Copyright:
© 2016, Springer International Publishing.
PY - 2016/8/1
Y1 - 2016/8/1
N2 - In this sequel to Demangos and Gendron (Arch Math 107:23–35, 2016), the multi-valued quantum j-invariant in positive characteristic is studied at quadratic elements. For every quadratic f, an explicit expression for each of the values of jqt(f) is given as a limit of rational functions of f. It is proved that the number of values of jqt(f) is finite.
AB - In this sequel to Demangos and Gendron (Arch Math 107:23–35, 2016), the multi-valued quantum j-invariant in positive characteristic is studied at quadratic elements. For every quadratic f, an explicit expression for each of the values of jqt(f) is given as a limit of rational functions of f. It is proved that the number of values of jqt(f) is finite.
KW - Diophantine approximation
KW - Global function field
KW - Quadratic extensions
KW - Quantum j-invariant
UR - http://www.scopus.com/inward/record.url?scp=84976259039&partnerID=8YFLogxK
U2 - 10.1007/s00013-016-0920-4
DO - 10.1007/s00013-016-0920-4
M3 - Article
AN - SCOPUS:84976259039
SN - 0003-889X
VL - 107
SP - 159
EP - 166
JO - Archiv der Mathematik
JF - Archiv der Mathematik
IS - 2
ER -