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research article

Equidistribution of Heegner points and ternary quadratic forms

Jetchev, Dimitar  
•
Kane, Ben
2011
Mathematische Annalen

We prove new equidistribution results for Galois orbits of Heegner points with respect to single reduction maps at inert primes. The arguments are based on two different techniques: primitive representations of integers by quadratic forms and distribution relations for Heegner points. Our results generalize an equidistribution result with respect to a single reduction map established by Cornut and Vatsal in the sense that we allow both the fundamental discriminant and the conductor to grow. Moreover, for fixed fundamental discriminant and variable conductor, we deduce an effective surjectivity theorem for the reduction map from Heegner points to supersingular points at a fixed inert prime. Our results are applicable to the setting considered by Kolyvagin in the construction of the Heegner points Euler system.

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Type
research article
DOI
10.1007/s00208-010-0568-5
Web of Science ID

WOS:000291485800001

Author(s)
Jetchev, Dimitar  
Kane, Ben
Date Issued

2011

Publisher

Springer Verlag

Published in
Mathematische Annalen
Volume

350

Start page

501

End page

532

Subjects

Half-Integral Weight

•

Selberg L-Functions

•

Modular-Forms

•

Subconvexity Problem

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LACAL  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/73961
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