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research article
On The Exponent Of Distribution Of The Ternary Divisor Function
2015
We show that the exponent of distribution of the ternary divisor function d(3) in arithmetic progressions to prime moduli is at least 1/2 + 1/46, improving results of Friedlander-Iwaniec and Heath-Brown. Furthermore, when averaging over a fixed residue class, we prove that this exponent is increased to 1/2 + 1/34.
Type
research article
Web of Science ID
WOS:000349663300008
Authors
Publication date
2015
Published in
Volume
61
Issue
1
Start page
121
End page
144
Note
National Licences
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 29, 2015
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