A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halasz' Theorem

[en] In this note, we improve earlier results towards the Bruinier-Kohnen sign equidistribution conjecture for half-integral weight modular eigenforms in terms of natural density by using a consequence of Halász' Theorem. Moreover, applying a result of Serre we remove all unproved assumptions.

Disciplines :

Mathematics

Author, co-author :

Inam, lker

Wiese, Gabor ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit

External co-authors :

yes

Language :

English

Title :

A Short Note on the Bruinier-Kohnen Sign Equidistribution Conjecture and Halasz' Theorem

Publication date :

2016

Journal title :

International Journal of Number Theory

ISSN :

1793-0421

Publisher :

World Scientific Publishing Company

Volume :

Issue :

Pages :

357-360

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBilu :

since 19 December 2014

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