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HARDER'S CONJECTURE AND MIYAWAKI LIFT
| Title: | HARDER'S CONJECTURE AND MIYAWAKI LIFT |
| Authors: | KATSURADA, HIDENORI Browse this author →KAKEN DB | | LEE, CHUL-HEE Browse this author |
| Keywords: | Harder's conjecture | | lifting | | congruence for the Klingen-Eisenstein lift |
| Issue Date: | 28-Jun-2024 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1158 |
| Start Page: | 1 |
| End Page: | 32 |
| Abstract: | Let k, j and n be positive integers such that k is odd , and both j and n are even, satisfying j ≡ n mod 4. Let f and g be primitive forms of weight 2k + j - 2 and k+j/2 - n/2 - 1, respectively, for SL2(Z). Then, we propose a conjecture on the congruence between the Klingen-Eisenstein lift of the Miyawaki lift of f and g of type II and a certain lift of a vector-valued Hecke eigenform of weight (k + j, k) for Sp2(Z). This conjecture implies Harder's conjecture. Through this formulation, we prove Harder's conjecture in some cases. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/92672 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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