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math.NT2009
Supercongruences for the Catalan-Larcombe-French numbers
Frazer Jarvis, Helena Verrill
We develop the Stienstra-Beukers theory of supercongruences in the setting of the Catalan-Larcombe-French sequence. We also give some applications to other sequences.
math.GR2009
Products of conjugacy classes of the alternating group
Edith Adan-Bante, John Harris, Helena Verrill
Let A_n be the alternating group on n letters. For n>5, we describe the elements alpha, beta in A_n when alpha^{A_n} beta^{A_n} is the union of at most four distinct conjugacy clas…