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On the Sign Changes of Hecke Eigenvalues

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Number Theory and Applications

Abstract

In this paper, we prove quantitative theorems for the number of sign changes for the sequences {λ(p)} and {λ(n)} where λ(n) are the normalised Hecke eigenvalues of the primitive holomorphic cusp form f. Also we prove quantitative theorem for the number of sign changes for the sequence {λ(n)} where λ(n) are the Hecke eigenvalues of a Maass cusp form f for the full modular group.

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Choie, Y.J., Sankaranarayanan, A., Sengupta, J. (2009). On the Sign Changes of Hecke Eigenvalues. In: Adhikari, S.D., Ramakrishnan, B. (eds) Number Theory and Applications. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-46-0_3

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