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2-adic properties of modular functions associated to Fermat curves (CROSBI ID 165012)
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Kazalicki, Matija
2-adic properties of modular functions associated to Fermat curves // Proceedings of the American Mathematical Society, 139 (2011), 12; 4265-4271. doi: 10.1090/S0002-9939-2011-10854-2
Podaci o odgovornosti
Kazalicki, Matija
engleski
2-adic properties of modular functions associated to Fermat curves
For an odd integer N, we study the action of Atkin's U(2)-operator on the modular function x(tau) associated to the Fermat curve: X^N +Y^N = 1. The function x(tau) is modular for the Fermat group Phi(N), generically a noncongruence subgroup. If x(tau) = q^(-1) + sum a(iN-1)q^(iN-1), we essentially prove that lim n->0 a(n) = 0 in the 2-adic topology.
modular forms ; noncongruence subgroups ; Fermat curves
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Podaci o izdanju
139 (12)
2011.
4265-4271
objavljeno
0002-9939
1088-6826
10.1090/S0002-9939-2011-10854-2
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