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math.NT2015
On the algebraicity of some products of special values of Barnes' multiple gamma function
Tomokazu Kashio
We consider partial zeta functions associated with ray classes 's of a totally real field. Stark's conjecture implies that an appropriate product of 's i…
math.NT2015
Fermat curves and the reciprocity law on cyclotomic units
Tomokazu Kashio
We define a "period ring-valued beta function" and give a reciprocity law on its special values. The proof is based on some results of Rohrlich and Coleman concerning Fermat curves…