An addition type formula for the double cotangent function

Masaki Kato

doi:10.2996/kmj/1509415228

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Home > Journals > Kodai Math. J. > Volume 40 > Issue 3 > Article

October 2017 An addition type formula for the double cotangent function

Masaki Kato

Kodai Math. J. 40(3): 468-491 (October 2017). DOI: 10.2996/kmj/1509415228

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Abstract

In this paper, we prove an addition type formula for the double cotangent function. Furthermore, we see that the addition theorem of the usual cotangent function, the reciprocity laws of (classical and higher) Dedekind sums, Lerch's functional equation and Ramanujan's formula can be deduced from it.

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Masaki Kato. "An addition type formula for the double cotangent function." Kodai Math. J. 40 (3) 468 - 491, October 2017. https://doi.org/10.2996/kmj/1509415228