イベントカレンダー
- 日程
- 2023年6月21日（水曜日） いつもと曜日が違います。
- 時間
- 16:00～17:00 (JST)
- 場所
- 大岡山キャンパス 本館 M155 講義室 会場が変わりました
（対面とZoomによるハイブリッド開催）
- 講師
- 峰 正博 氏（上智大学）
- 参加のお申し込み
- ※参加登録不要です。開始30分前からミーティングを開室します。ミーティングのURL・番号等は開始直前に下記のページに掲載します。
The Zoom URL will be announced in the page below a few minutes before the start of the lecture.
http://www.math.titech.ac.jp/~purkait/AGS/AGSeminarTIT.html#present
- 講演タイトル
- Zeros of the Hurwitz zeta-function and the Gonek Conjecture
- アブストラクト
- According to the Riemann Hypothesis, the Riemann zeta-function has no zeros in the right half of the critical strip. The Hurwitz zeta-function is defined by a Dirichlet series with a parameter, which is similar to the Riemann zeta-function. On the other hand, if the parameter is rational or transcendental, it is known that the Hurwitz zeta-function has infinitely many zeros in the right half of the critical strip. Then the question arises whether the same result holds for an algebraic irrational parameter. Although some progress has been made by several mathematicians, this is still an open problem. In this talk, I will present the first result ensuring the existence of the Hurwitz zeta-function with algebraic irrational parameter that has infinitely many zeros in the right half of the critical strip. This result was derived by resolving a weak version of the Gonek Conjecture, which asserts that the Hurwitz zeta-function with algebraic irrational parameter has a universality property.
更新日：2023.05.15
