ON THE ZEROS OF THE EISENSTEIN SERIES FOR $ Gamma_0 ^{ast} (5) $ AND $ Gamma_0 ^{ast} (7) $ - Collections

＜departmental bulletin paper＞
ON THE ZEROS OF THE EISENSTEIN SERIES FOR $ Gamma_0 ^{ast} (5) $ AND $ Gamma_0 ^{ast} (7) $

Creator	Author PID K004320 Creator Name Shigezumi, Junichi 重住, 淳一 Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学大学院数理学研究院
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2007-09
Source Title	Kyushu Journal of Mathematics
Vol	61
Issue	2
First Page	527
Last Page	549
Publication Type	Version of Record
Access Rights	restricted access
Related DOI	isIdenticalTo https://doi.org/10.2206/kyushujm.61.527
Related DOI	Kyushu Journal of Mathematics \|\| 61(2) \|\| p527-549
Related DOI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI	Kyushu Journal of Mathematics \|\| 61(2) \|\| p527-549
Related URI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI
Related HDL
Relation	Kyushu Journal of Mathematics \|\| 61(2) \|\| p527-549
Relation	http://www2.math.kyushu-u.ac.jp/~kjm/
Abstract	We locate almost all of the zeros of the Eisenstein series associated with the Fricke groups of level 5 and 7 in their fundamental domains by applying and extending the method of Rankin and Swinnerton...-Dyer (On the zeros of Eisenstein series. Bull. London Math. Soc. 2 (1970), 169-170). We also use the arguments of some terms of the Eisenstein series in order to improve existing error bounds.show more