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math.NT2013
Meromorphic analogues of modular forms generating the kernel of Shintani's lift
Paloma Bengoechea
We study the meromorphic modular forms defined as sums of -k (k>1) powers of integral quadratic polynomials with negative discriminant. These functions can be viewed as meromorphic…
math.NT2013★ 2 cited
From continued fractions and quadratic functions to modular forms
Paloma Bengoechea
In this paper we study certain real functions defined in a very simple way by Zagier as sums of infinite powers of quadratic polynomials with integer coefficients. These functions…
math.NT2013★ 1 cited
On a theorem of Serret on continued fractions
Paloma Bengoechea
A classical theorem in continued fractions due to Serret shows that for any two irrational numbers x and y related by a transformation in PGL(2,Z) there exist s and t for which…