Geodesic
Cotangent Sums Related to the Riemann Hypothesis for Various Shifts of the Argument
Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 522-535

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DOI

One of the approaches to the Riemann Hypothesis is the Nyman–Beurling criterion. Cotangent sums play a significant role in this criterion. Here we investigate the values of these cotangent sums for various shifts of the argument.
DOI : 10.4153/S0008439519000602
Mots-clés : cotangent sum, equidistribution, moment, asymptotics, Estermann zeta function, Riemann zeta function, Riemann Hypothesis, exponential sums in finite fields 
Maier, Helmut; Rassias, Michael Th. Cotangent Sums Related to the Riemann Hypothesis for Various Shifts of the Argument. Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 522-535. doi: 10.4153/S0008439519000602
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     author = {Maier, Helmut and Rassias, Michael Th.},
     title = {Cotangent {Sums} {Related} to the {Riemann} {Hypothesis} for {Various} {Shifts} of the {Argument}},
     journal = {Canadian mathematical bulletin},
     pages = {522--535},
     year = {2020},
     volume = {63},
     number = {3},
     doi = {10.4153/S0008439519000602},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000602/}
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