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The aim of this paper is to give a purely rigid-analytic development of the theory of canonical subgroups
with arbitrary torsion-level in generalized elliptic curves over rigid spaces over k (using L...
MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION
modular curve Ramanujan continued fraction
2015/7/6
We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we give a new geometric proof that its singular values are algebraic units
th...
ERRATUM TO MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION
q-series modular curve Ramanujan continued fraction
2015/7/6
This lemma is already false for k = p quite generally, and our error in the proof of the
lemma occurs in the line beginning “Evidently. . . ” (the formula given for (k, m+jk/p)
in that line is wrong...