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3 papers · 2 filters
Real zeros of the Hurwitz zeta function
Toshiki Matsusaka
It is well known that real zeros of the Riemann zeta function are negative even integers. As for real zeros of the Hurwitz zeta function, T. Nakamura recently gave an existence con…
A new integral-series identity of multiple zeta values and regularizations
Masanobu Kaneko, Shuji Yamamoto
We present a new "integral=series" type identity of multiple zeta values, and show that this is equivalent in a suitable sense to the fundamental theorem of regularization. We conj…
On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application
Masanobu Kaneko, Fumi Sakurai, Hirofumi Tsumura
We prove a duality formula for certain sums of values of poly-Bernoulli polynomials which generalizes dualities for poly-Bernoulli numbers. We first compute two types of generating…