Premium
Transcendental values of certain Eichler integrals
Author(s) -
Gun Sanoli,
Murty M. Ram,
Rath Purusottam
Publication year - 2011
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdr031
Subject(s) - mathematics , ramanujan's sum , transcendental number , transcendence (philosophy) , eisenstein series , riemann hypothesis , pure mathematics , modular form , algebraic number , riemann zeta function , algebra over a field , mathematical analysis , epistemology , philosophy
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.