22 citations · 53 across the 28 of their papers we have counts for
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math.NT2010★ 1 cited
Simple proof of the functional relation for the Lerch type Tornheim double zeta function
Takashi Nakamura
In this paper, we give a simple proof of the functional relation for the Lerch type Tornheim double zeta function. By using it, we obtain simple proofs of some explicit evaluation…
math.NT2010★ 1 cited
The generalized strong recurrence for non-zero rational parameters
Takashi Nakamura
The strong recurrence is equivalent to the Riemann hypothesis. On the other hand, the generalized strong recurrence holds for any irrational number. In this paper, we show the gene…
math.NT2010
A simple proof of the generalized strong recurrence for any non-zero parameter
Takashi Nakamura
The strong recurrence is equivalent to the Riemann hypothesis. In the present paper, we give a simple proof of the generalized strong recurrence for all non-zero parameters.