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arxiv: 1603.03913 · v1 · pith:V7BCJZI7new · submitted 2016-03-12 · 🧮 math.NT

Zeta functions interpolating the convolution of the Bernoulli polynomials

classification 🧮 math.NT
keywords zetabernoullifunctionshurwitz-riemannmultiplenonlinearpolynomialsrelation
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We prove nonlinear relation on multiple Hurwitz-Riemann zeta functions. Using analytic continuation of these multiple Hurwitz-Riemann zeta function, we quote at negative integers Euler's nonlinear relation for generalized Bernoulli polynomials and numbers.

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