Linearized product of two Riemann zeta functions

Debika Banerjee; Jay Mehta

doi:10.3792/pjaa.90.123

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October 2014 Linearized product of two Riemann zeta functions

Debika Banerjee, Jay Mehta

Proc. Japan Acad. Ser. A Math. Sci. 90(8): 123-126 (October 2014). DOI: 10.3792/pjaa.90.123

Abstract

In this paper, we elucidate the well-known Wilton’s formula for the product of two Riemann zeta functions. A proof of Wilton’s expression for product of two zeta functions was given by M. Nakajima in~[5] using the Atkinson dissection. On the similar line we derive Wilton’s formula using the Riesz sum of the order $\kappa=1$.

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Debika Banerjee. Jay Mehta. "Linearized product of two Riemann zeta functions." Proc. Japan Acad. Ser. A Math. Sci. 90 (8) 123 - 126, October 2014. https://doi.org/10.3792/pjaa.90.123