Transcendental values of certain Eichler integrals

Gun, Sanoli ; Murty, M. Ram ; Rath, Purusottam (2011) Transcendental values of certain Eichler integrals Bulletin of the London Mathematical Society, 43 (5). pp. 939-952. ISSN 0024-6093

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Official URL: http://doi.org/10.1112/blms/bdr031

Related URL: http://dx.doi.org/10.1112/blms/bdr031

Abstract

We study the transcendence of certain Eichler integrals associated to Eisenstein series and more generally to modular forms using functional identities due to Ramanujan, Grosswald, Weil et al. The special values of such integrals at algebraic points in the upper half‐plane are linked to Riemann zeta values at odd positive integers.

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