524 citations
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math.NT2008
Split Orders and Convex Polytopes in Buildings
Thomas R. Shemanske
As part of his work to develop an explicit trace formula for Hecke operators on congruence subgroups of , Hijikata defines and characterizes the notion of a split order i…
math.NT2008★ 2 cited
Modular forms on noncongruence subgroups and Atkin-Swinnerton-Dyer relations
Liqun Fang, J. William Hoffman, Benjamin Linowitz +2
We give new examples of weight three cusp forms on noncongruence subgroups of SL(2, Z) whose Scholl representation is modular and which satisfy three term Atkin-Swinnerton-Dyer rel…
math.NT2007
On Pseudosquares and Pseudopowers
Carl Pomerance, Igor E. Shparlinski
Introduced by Kraitchik and Lehmer, an -pseudosquare is a positive integer that is a quadratic residue for each odd prime , yet is not a square. We use…