preprint · CINECA IRIS Institutial Research Information System (University of Genoa) · 2020

Partial sums of the cotangent function

Cited by 8Abstract and details only

Abstract

We prove the existence of reciprocity formulae for sums of the form [Formula Presented] where f is a piecewise C1 function, featuring an alternating phenomenon not visible in the classical case where f(x) = x. We deduce bounds for these sums in terms of the continued fraction expansion of h/k.

Cite this paper

APA 7

Bettin, S., & Drappeau, S. (2020). Partial sums of the cotangent function. CINECA IRIS Institutial Research Information System (University of Genoa). https://doi.org/10.5802/jtnb.1119

MLA 9

Bettin, Sandro, and Sary Drappeau. “Partial sums of the cotangent function.” CINECA IRIS Institutial Research Information System (University of Genoa), 2020, https://doi.org/10.5802/jtnb.1119.

Chicago

Bettin, Sandro, and Sary Drappeau. 2020. “Partial sums of the cotangent function.” CINECA IRIS Institutial Research Information System (University of Genoa). https://doi.org/10.5802/jtnb.1119.

Harvard

Bettin, S. and Drappeau, S. (2020) ‘Partial sums of the cotangent function’, CINECA IRIS Institutial Research Information System (University of Genoa). Available at: https://doi.org/10.5802/jtnb.1119.

BibTeX

@misc{bettin2020partial,
  title = {{Partial sums of the cotangent function}},
  author = {Bettin, Sandro and Drappeau, Sary},
  journal = {CINECA IRIS Institutial Research Information System (University of Genoa)},
  year = {2020},
  doi = {10.5802/jtnb.1119}
}

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