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- W2510228995 abstract "Fit e et al. (2011) describe a generalization of the Sato-Tate conjecture by hypothe- sizing that the distribution as p varies, for a xed algebraic curve, of the normalized error terms ((p + 1 number of solutions)=g p p) follows the distribution of the trace of a random element of some subgroup of USp(2g), called the Sato-Tate group of the curve. In genus two, there are 55 non-isomorphic possibilities for the Sato-Tate group, although some have the same trace moment sequence. When the group is connected, the work of Magyar and Grabiner shows that these kind of sequences can be naturally interpreted as counting certain walks over a lattice of dimension g when working in general with subgroups of USp(2g). In this paper, we look at what kinds of combina- torial problems arise from the trace moment sequences of the not necessarily connected Sato-Tate groups, and how they relate to the component group in these disconnected cases." @default.
- W2510228995 created "2016-09-16" @default.
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- W2510228995 date "2014-01-01" @default.
- W2510228995 modified "2023-09-27" @default.
- W2510228995 title "COMBINATORIAL INTERPRETATIONS OF THE TRACE MOMENT SEQUENCES OF SUBGROUPS OF USp(4)" @default.
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