Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Gold Open Access
Proceedings of the American Mathematical Society Series B
Proceedings of the American Mathematical Society Series B
ISSN 2330-1511

 

Interlacing of zeros of weakly holomorphic modular forms


Authors: Paul Jenkins and Kyle Pratt
Journal: Proc. Amer. Math. Soc. Ser. B 1 (2014), 63-77
MSC (2010): Primary 11F11, 11F03
Published electronically: May 28, 2014
Full-text PDF Open Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that the zeros of a family of extremal modular forms interlace, settling a question of Nozaki. Additionally, we show that the zeros of almost all forms in a basis for the space of weakly holomorphic modular forms of weight $ k$ for $ \mathrm {SL}_2(\mathbb{Z})$ interlace on most of the lower boundary of the fundamental domain.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society, Series B with MSC (2010): 11F11, 11F03

Retrieve articles in all journals with MSC (2010): 11F11, 11F03


Additional Information

Paul Jenkins
Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
Email: jenkins@math.byu.edu

Kyle Pratt
Affiliation: Department of Mathematics, Brigham Young University, Provo, Utah 84602
Email: kvpratt@gmail.com

DOI: http://dx.doi.org/10.1090/S2330-1511-2014-00010-9
PII: S 2330-1511(2014)00010-9
Received by editor(s): September 4, 2013
Published electronically: May 28, 2014
Communicated by: Ken Ono
Article copyright: © Copyright 2014 by the author under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)