TY - JOUR
T1 - Bilinear Forms with Modular Square Roots and Twisted Second Moments of Half Integral Weight Dirichlet Series
AU - Shkredov, Ilya D.
AU - Shparlinski, Igor E.
AU - Zaharescu, Alexandru
N1 - Publisher Copyright:
© The Author(s) 2021. Published by Oxford University Press. All rights reserved.
PY - 2022/11/1
Y1 - 2022/11/1
N2 - We establish new results on equations and bilinear forms with modular square roots. The main motivation and application of these results is our new bound on the fourth moment of the error term in the asymptotic formula for the twisted second moment of half integral weight Dirichlet series on average over moduli.
AB - We establish new results on equations and bilinear forms with modular square roots. The main motivation and application of these results is our new bound on the fourth moment of the error term in the asymptotic formula for the twisted second moment of half integral weight Dirichlet series on average over moduli.
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U2 - 10.1093/imrn/rnab220
DO - 10.1093/imrn/rnab220
M3 - Article
AN - SCOPUS:85129973113
SN - 1073-7928
VL - 2022
SP - 17431
EP - 17474
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 22
ER -