Bounds on shifted convolution sums for Hecke eigenforms
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
Bounds on shifted convolution sums for Hecke eigenforms. / Nordentoft, Asbjørn C.; Petridis, Yiannis N.; Risager, Morten S.
I: Research in Number Theory, Bind 8, Nr. 2, 26, 2022, s. 1-20.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Bounds on shifted convolution sums for Hecke eigenforms
AU - Nordentoft, Asbjørn C.
AU - Petridis, Yiannis N.
AU - Risager, Morten S.
N1 - Publisher Copyright: © 2022, The Author(s).
PY - 2022
Y1 - 2022
N2 - Shifted convolution sums play a prominent rôle in analytic number theory. Here these sums are considered in the context of holomorphic Hecke eigenforms. We investigate pointwise bounds, mean-square bounds consistent with the optimal conjectural bound, and find asymptotics on average for their variance.
AB - Shifted convolution sums play a prominent rôle in analytic number theory. Here these sums are considered in the context of holomorphic Hecke eigenforms. We investigate pointwise bounds, mean-square bounds consistent with the optimal conjectural bound, and find asymptotics on average for their variance.
KW - Shifted convolution sums
UR - http://www.scopus.com/inward/record.url?scp=85127938489&partnerID=8YFLogxK
U2 - 10.1007/s40993-022-00320-1
DO - 10.1007/s40993-022-00320-1
M3 - Journal article
AN - SCOPUS:85127938489
VL - 8
SP - 1
EP - 20
JO - Research in Number Theory
JF - Research in Number Theory
SN - 2363-9555
IS - 2
M1 - 26
ER -
ID: 310505840