An elliptic analogue of a theorem of Hecke

作者：Murty M Ram^*; Vatwani Akshaa

来源：Ramanujan Journal, 2016, 41(1-3): 171-182.

DOI：10.1007/s11139-014-9597-0

• Elliptic functions
• Special values
• Dirichlet's L-series
• Hurwitz zeta function
• Eisenstein series
• Transcendence

We revisit the classical theorem of Euler regarding special values of the Riemann zeta function as well as Hecke's generalization of this to Dirichlet's -functions and derive an elliptic analogue. We also discuss transcendence questions that arise from this analogue.

• 出版日期2016-11