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

Voir la notice de l'article provenant de la source Cambridge University Press

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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