Notes on universality in short intervals and exponential shifts

被引：2

作者：

Andersson, Johan ^{[1
]}

Garunkstis, Ramunas ^{[2
]}

Kacinskaite, Roma ^{[2
,3
]}

Nakai, Keita ^{[4
]}

Pankowski, Lukasz ^{[5
]}

Sourmelidis, Athanasios ^{[6
]}

Steuding, Rasa ^{[7
]}

Steuding, Joern ^{[7
]}

Wananiyakul, Saeree ^{[8
]}

机构：

[1] Orebro Univ, Inst Sci & Technol, Div Math, Orebro, Sweden

[2] Vilnius Univ, Inst Math, Fac Math & Informat, Naugarduko Str 24, LT-03225 Vilnius, Lithuania

[3] Vytautas Magnus Univ, Fac Informat, Dept Math & Stat, Univ Str 10, LT-53361 Akademija, Lithuania

[4] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya 4648602, Japan

[5] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland

[6] Graz Univ Technol, Inst Anal & Number Theory, Steyrergasse 30, A-8010 Graz, Austria

[7] Wurzburg Univ, Dept Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany

[8] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok 10330, Thailand

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2024年 / 64卷 / 02期

关键词：

universality; zeta-functions; exponent pairs; exponential shifts; RIEMANN ZETA-FUNCTION; MEAN-SQUARE; THEOREM;

D O I：

10.1007/s10986-024-09631-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurin & ccaron;ikas with respect to the length of these intervals. Moreover, we prove that the shifts can even have exponential growth. This research was initiated by two questions proposed by Laurin & ccaron;ikas in a problem session of a recent workshop on universality.

引用

页码：125 / 137

页数：13

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