Notes on theta series for Niemeier lattices

Shōyū Nagaoka, Sho Takemori

Type: Article

Publication Date: 2015-09-16

Citations: 11

DOI: https://doi.org/10.1007/s11139-015-9720-x

View Publication

Download PDF

Locations

The Ramanujan Journal - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Notes on theta series for Niemeier lattices	2015	Shōyū Nagaoka Sho Takemori
+	Notes on theta series for Niemeier lattices II	2019	Shōyū Nagaoka
+ PDF Chat	Notes on theta series for Niemeier lattices II	2020	Shōyū Nagaoka
+	On theta series attached to the Leech lattice	2014	Shōyū Nagaoka Sho Takemori
+	Congruences for Certain Theta Series	1998	Neil Dummigan Pham Huu Tiep
+	On A Result of Ramanujan on Theta Functions	1994	S. S. Rangachari
+ PDF Chat	Some congruences for Siegel theta series	2015	Rainer Schulze‐Pillot
+	On theta series attached to maximal lattices and their adjoints	2009	Siegfried Boecherer Gabriele Nebe
+	Theta Series of Unimodular Lattices, Combinatorial Identities and Weighted Symmetric Polynomials	2000	Xiaoping Xu
+	Theta series congruences	1999	Neil Dummigan
+ PDF Chat	Niemeier lattices and 𝐾3 groups	2007	De‐Qi Zhang
+ PDF Chat	SIEGEL THETA SERIES OF VARIOUS DEGREES FOR THE LEECH LATTICE	2014	Michio Ozeki
+ PDF Chat	Higher Siegel theta lifts on Lorentzian lattices, harmonic Maass forms, and Eichler–Selberg type relations	2022	Joshua Males
+	Higher Siegel theta lifts on Lorentzian lattices and harmonic Maass forms	2021	Joshua Males
+	Lattices and Θ-function identities. I: Theta constants	1992	Terry Gannon C. S. Lam
+ PDF Chat	On theta series vanishing at ∞ and related lattices	2006	Christine Bachoc Riccardo Salvati Manni
+	Theta series attached to lattices of arbitrary rank.	1987	Lynne H. Walling
+	Congruences for certain partition functions and Ramanujans theta function identities	2017	H. S. Sumantha Bharadwja
+	On Theta Functions	1996	Jae-Hyun Yang
+	Gaps of Summands of the Zeckendorf Lattice	2020	Neelima Borade Dexter Cai David Z. Chang Bruce Fang Alex Liang Steven J. Miller Wanqiao Xu

Works That Cite This (11)

Action	Title	Year	Authors
+	Notes on theta series for Niemeier lattices II	2019	Shōyū Nagaoka
+ PDF Chat	On the mod p kernel of the theta operator and Eisenstein series	2018	Shōyū Nagaoka Sho Takemori
+	Theta operator for Hermitian modular forms over the Eisenstein field	2018	Shōyū Nagaoka Sho Takemori
+ PDF Chat	Notes on theta series for Niemeier lattices II	2020	Shōyū Nagaoka
+	Weights of the Mod p Kernels of Theta Operators	2017	Siegfried Böcherer Toshiyuki Kikuta Sho Takemori
+ PDF Chat	On p-divisibility of Fourier coefficients of Siegel modular forms	2023	Shōyū Nagaoka
+	On the mod $p$ kernel of the theta operator and Eisenstein series	2017	Shōyū Nagaoka Sho Takemori
+	Note on mod p property of Hermitian modular forms	2016	Toshiyuki Kikuta Shōyū Nagaoka
+	Weights of the mod $p$ kernel of the theta operators	2016	Siegfried Boecherer Toshiyuki Kikuta Sho Takemori
+ PDF Chat	Theta operator on Hermitian modular forms over the Eisenstein field	2019	Shōyū Nagaoka Sho Takemori

Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	Sturm bounds for Siegel modular forms	2015	Olav K. Richter Martin Raum
+ PDF Chat	An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree 3	1997	Hidenori Katsurada
+ PDF Chat	Dimensions of spaces of level one automorphic forms for split classical groups using the trace formula	2017	Olivier Taïbi
+ PDF Chat	Some congruences for Siegel theta series	2015	Rainer Schulze‐Pillot
+	On Siegel modular forms of level p and their properties mod p	2010	Siegfried Böcherer Shōyū Nagaoka
+	On mod p properties of Siegel modular forms	2007	Siegfried Böcherer Shōyū Nagaoka
+	On the Ring of Modular Forms of Degree Two Over Z	1979	Jun-ichi Igusa
+ PDF Chat	Table of the Fourier coefficients of Eisenstein series of degree $3$	1983	Michio Ozeki Tadashi Washio
+ PDF Chat	SIEGEL THETA SERIES OF VARIOUS DEGREES FOR THE LEECH LATTICE	2014	Michio Ozeki
+	On ℓ-adic representations and congruences for coefficients of modular forms (II)	1977	H. P. F. Swinnerton-Dyer