On the zeros of certain Poincaré series for $Gamma_0^{*}(2)$ and $Gamma_0^{*}(3)$ - Collections

＜departmental bulletin paper＞
On the zeros of certain Poincaré series for $Gamma_0^{}(2)$ and $Gamma_0^{}(3)$

Creator	Author PID K004320 Creator Name Shigezumi, Junichi 重住, 淳一シゲズミ, ジュンイチ Affiliation Affiliation Name Faculty of Mathematics, Graduate School, Kyushu University: Post-doctoral Fellow : Algebraic Combinatorics 九州大学大学院数理学研究院: 学術研究員: 代数的組合せ論
Language	English
Publisher	Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University
Publisher	大阪大学大学院理学研究科数学専攻，大阪市立大学理学部数学科，大阪大学大学院情報科学研究科情報基礎数学学専攻，大阪大学基礎工学部情報化学科数理科学コース
Date	2010-06
Source Title	Osaka Journal of Mathematics
Vol	47
Issue	2
First Page	487
Last Page	505
Publication Type	Version of Record
Access Rights	open access
Related DOI
Related DOI	Osaka Journal of Mathematics \|\| 47(2010) \|\| p487-505
Related DOI	http://researchmap.jp/j_shigezumi/
Related URI	Osaka Journal of Mathematics \|\| 47(2010) \|\| p487-505
Related URI	http://researchmap.jp/j_shigezumi/
Related URI	isIdenticalTo http://projecteuclid.org/euclid.ojm/1277298914
Related HDL
Relation	Osaka Journal of Mathematics \|\| 47(2010) \|\| p487-505
Relation	http://researchmap.jp/j_shigezumi/
Abstract	We determine the location of all of the zeros of certain Poincaré series associated with the Fricke groups $Gamma_0^{}(2)$ and $Gamma_0^{}(3)$ in their fundamental domains by applying and extending ...the method of F.K.C. Rankin and H.P.F. Swinnerton-Dyer ([9], ``On the zeros of Eisenstein series'', 1970).show more

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Record ID	17768
Peer-Reviewed	Refereed
Related URI	http://projecteuclid.org/euclid.ojm/1277298914
Subject Terms	Poincaré series
	Fricke group
	locating zeros
	modular forms
ISSN	0030-6126
Created Date	2012.02.08
Modified Date	2019.09.06

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＜departmental bulletin paper＞ On the zeros of certain Poincaré series for $Gamma_0^{*}(2)$ and $Gamma_0^{*}(3)$

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＜departmental bulletin paper＞
On the zeros of certain Poincaré series for $Gamma_0^{}(2)$ and $Gamma_0^{}(3)$