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math.NT2014
Galois action on special theta values
Paloma Bengoechea
Using Shimura's reciprocity law, we calculate the Galois action on the special values of theta functions associated to primitive Dirichlet characters of odd conductor, normalised b…
math.NT2014
On the Mixed Littlewood Conjecture and continued fractions in quadratic fields
Paloma Bengoechea, Evgeniy Zorin
We show how a recent result by Aka and Shapira on the evolution of continued fractions in a fixed quadratic field implies the classic result of de Mathan and Teullié on the Mixed L…