PreprintarXiv licencearXiv
Shifted convolutions of divisor functions
Abstract
We establish the leading asymptotic for the shifted correlations of divisor functions.
Related
- Additive Sums of Generalized Shifted Ternary Divisor Functions
- Statistics of divisor functions over function fields
- Triple divisor type functions in arithmetic progressions to prime power moduli
- Generalized supremum convolutions on the tensor product of unit intervals: t-conorms and triangle functions
- A Joint Local Limit Theorem for Prime Divisor Counting Functions
BibTeX
@misc{walsh2026shifted,
title = {{Shifted convolutions of divisor functions}},
author = {Miguel N. Walsh},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40439},
eprint = {2610.40439},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40439},
}
RIS
TY - UNPB
TI - Shifted convolutions of divisor functions
AU - Miguel N. Walsh
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40439
UR - https://arxiv.org/abs/2610.40439
AB - We establish the leading asymptotic for the shifted correlations of divisor functions.
ER -