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math.NT2012
An algebraic property of Hecke operators and two indefinite theta series
Vicentiu Pasol, Alexandru A. Popa
We prove an algebraic property of the elements defining Hecke operators on period polynomials associated with modular forms, which implies that the pairing on period polynomials co…
math.NT2012
On the Petersson scalar product of arbitrary modular forms
Vicentiu Pasol, Alexandru A. Popa
We consider a natural extension of the Petersson scalar product to the entire space of modular forms of integral weight for a finite index subgroup of the modular group. W…