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math.NT2014★ 1 cited
Integral Eisenstein cocycles on GLn, II : Shintani's method
Pierre Charollois, Samit Dasgupta, Matthew Greenberg
We define a cocycle on Gln using Shintani's method. It is closely related to cocycles defined earlier by Solomon and Hill, but differs in that the cocycle property is achieved thro…
math.NT2014
Rationality of secant zeta values
Pierre Charollois, Matthew Greenberg
We use the Arakawa-Berndt theory of generalized eta-functions to prove a conjecture of Lalìn, Rodrigue and Rogers concerning the algebraic nature of special values of the secant ze…