TY - JOUR
T1 - Additive twists and a conjecture by Mazur, Rubin and Stein
AU - Diamantis, Nikolaos
AU - Hoffstein, Jeffrey
AU - Kıral, Eren Mehmet
AU - Lee, Min
PY - 2020/4/1
Y1 - 2020/4/1
N2 - In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved. To cover levels that are important for elliptic curves, namely those that are not square-free, we establish results about L-functions with additive twists that are of independent interest.
AB - In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved. To cover levels that are important for elliptic curves, namely those that are not square-free, we establish results about L-functions with additive twists that are of independent interest.
KW - Classical modular symbols
KW - Mazur-Rubin-Stein conjecture
UR - http://www.scopus.com/inward/record.url?scp=85077203158&partnerID=8YFLogxK
U2 - 10.1016/j.jnt.2019.11.016
DO - 10.1016/j.jnt.2019.11.016
M3 - Article (Academic Journal)
AN - SCOPUS:85077203158
VL - 209
SP - 1
EP - 36
JO - Journal of Number Theory
JF - Journal of Number Theory
SN - 0022-314X
ER -