Corrigendum to Explicit estimates on several summatory functions involving the Moebius function

2019 ◽  
Vol 88 (319) ◽  
pp. 2383-2388
Author(s):  
Olivier Ramaré
Keyword(s):  
Moebius Function

scholarly journals Special Periodic Even Functions

2018 ◽  
Vol 4 (1) ◽  
pp. 17-32
Author(s):  
Marcel Grangé
Keyword(s):  
Number Theory ◽  
Wiener Algebra ◽  
Riemann Sums ◽  
Moebius Function

AbstractIn this paper the periodic even functions for which all the regular Riemann sums vanishe are called special periodic even functions. A construction of some of them is put forward, this one rest on the Fourier serie and H. Davenport’s estimations concerning the Moebius function. The special periodic even functions seem linked to the number theory, as this can be seen on the Fourier serie result, on the proposed constructions and on the proof that such functions cannot belong to the Wiener algebra.

A Generalized Lambert Series and Its Moebius Function

1939 ◽  
Vol 40 (2) ◽  
pp. 353
Author(s):  
William C. Doyle
Keyword(s):  
Lambert Series ◽  
Moebius Function
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