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On p-adic Siegel–Eisenstein Series II: How to Avoid the Regularity Condition for p
Publication type: Journal Article
Publication date: 2025-08-07
scimago Q2
wos Q2
SJR: 0.670
CiteScore: 1.4
Impact factor: 0.7
ISSN: 13824090, 15729303
Abstract
In a previous paper, the authors showed that two kinds of p-adic Siegel–Eisenstein series of degree n coincide with classical modular forms of weight k for $$\Gamma _0(p)$$ , under the assumption that p is a regular prime. The purpose of this paper is to show that this condition on p can be removed if the degree n is low compared with k, namely, $$n\le 2k+1$$ .
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Böcherer S. et al. On p-adic Siegel–Eisenstein Series II: How to Avoid the Regularity Condition for p // Ramanujan Journal. 2025. Vol. 68. No. 2. 38
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Böcherer S., Kikuta T. On p-adic Siegel–Eisenstein Series II: How to Avoid the Regularity Condition for p // Ramanujan Journal. 2025. Vol. 68. No. 2. 38
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TY - JOUR
DO - 10.1007/s11139-025-01189-1
UR - https://link.springer.com/10.1007/s11139-025-01189-1
TI - On p-adic Siegel–Eisenstein Series II: How to Avoid the Regularity Condition for p
T2 - Ramanujan Journal
AU - Böcherer, Siegfried
AU - Kikuta, Toshiyuki
PY - 2025
DA - 2025/08/07
PB - Springer Nature
IS - 2
VL - 68
SN - 1382-4090
SN - 1572-9303
ER -
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@article{2025_Böcherer,
author = {Siegfried Böcherer and Toshiyuki Kikuta},
title = {On p-adic Siegel–Eisenstein Series II: How to Avoid the Regularity Condition for p},
journal = {Ramanujan Journal},
year = {2025},
volume = {68},
publisher = {Springer Nature},
month = {aug},
url = {https://link.springer.com/10.1007/s11139-025-01189-1},
number = {2},
pages = {38},
doi = {10.1007/s11139-025-01189-1}
}