Linearized product of two Riemann zeta functions. (English) Zbl 1310.11082

Summary: 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 [ibid. 79, No. 2, 19–22 (2003; Zbl 1114.11072)] using the Atkinson dissection. On the similar line we derive Wilton’s formula using the Riesz sum of the order \(\kappa =1\).


11M06 \(\zeta (s)\) and \(L(s, \chi)\)
11M41 Other Dirichlet series and zeta functions


Zbl 1114.11072
Full Text: DOI Euclid


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