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保型形式の整数論月例セミナー
過去の記録 ～04/26｜次回の予定｜今後の予定 04/27～
| 開催情報 | 土曜日 13:30～16:00 数理科学研究科棟(駒場) 123号室 |
|---|---|
| 担当者 | 織田 孝幸 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/~takayuki/monthly-seminar.html |
2013年11月16日(土)
13:30-16:00 数理科学研究科棟(駒場) 123号室
宗野 惠樹 氏 (東京農工大学) 13:30-14:30
Pair correlation of low lying zeros of quadratic L-functions (JAPANESE)
σ関数と空間曲線 (JAPANESE)
宗野 惠樹 氏 (東京農工大学) 13:30-14:30
Pair correlation of low lying zeros of quadratic L-functions (JAPANESE)
[ 講演概要 ]
In this talk, we give certain asymptotic formula involving non-trivial zeros of L-functions associated to Knonecker symbol under the assumption of the Generalized Riemann Hypothesis. From this formula, we obtain several results on non-trivial zeros of quadratic L-functions near the real axis.
松谷茂樹 氏 (相模原 在住) 15:30-16:00In this talk, we give certain asymptotic formula involving non-trivial zeros of L-functions associated to Knonecker symbol under the assumption of the Generalized Riemann Hypothesis. From this formula, we obtain several results on non-trivial zeros of quadratic L-functions near the real axis.
σ関数と空間曲線 (JAPANESE)
[ 講演概要 ]
In this talk, I show that Kleinian sigma function, which is a generalization of Weierstrass elliptic sigma function, is extended to space curves, (3,4,5), (3,7,8) and (6,13,14,15,16) type. In terms of the function, the Jacob inversion formula is also generalized, in which the affine coordinates are given as functions of strata of Jacobi variety associated with these curves.
In this talk, I show that Kleinian sigma function, which is a generalization of Weierstrass elliptic sigma function, is extended to space curves, (3,4,5), (3,7,8) and (6,13,14,15,16) type. In terms of the function, the Jacob inversion formula is also generalized, in which the affine coordinates are given as functions of strata of Jacobi variety associated with these curves.
