Research theme for competitive and other funds (6)：
2022 - 2027 Value-distribution theory of zeta and multiple zeta functions
2011 - 2019 The order of zeros of automorphic L -functions and the value of L-functions
2013 - 2018 A study on algebraic and analytic behavior of multiple zeta-functions and multiple automorphic L-functions
2007 - 2010 Class number and values of L-functions with cusp forms
2004 - 2006 解析数論の保型L関数への応用
2002 - 2003 ランキン・セルバーグL関数の解析数論的研究とその応用
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Papers (20)：
Kohji Matsumoto, Yumiko Umegaki. On the value-distribution of symmetric power L-functions. “Topics in Number Theory”, Proceedings of a Conference organized by the Institute of Mathematical Sciences, Chennai and IIT Ropar during 22-25th December, 2017, On the Occasion of the 130th Birth Anniversary of Srinivasa Ramanujan, edited by Tapas Chatterjee and Sanoli Gun, Lecture Notes Series Number 26. 2020. 147-167
Yasuko Morita, Atsuki Umegaki, Yumiko Umegaki. Bicubic number fields with large class numbers. Advanced Studies in Pure Mathematics. 2020. 84. 335-351
Atsuki Umegaki, Yumiko Umegaki. Quartic fields with large class numbers. Rocky Mountain Journal of Mathematics. 2020. 50. 1. 267-280
primitive form に付随する Symmetric square L 関数の対数値に関する M 関数
(解析数論セミナー 2022)
類数の大きな 4 次拡大体について
(愛知数論セミナー 2019)
On the value-distribution of the difference between logarithms of two symmetric power L-functions.
(Various Aspects of Multiple Zeta Function 2017)
保型 L 関数の対数値の平均と密度関数に関する考察
(愛知数論セミナー 2017)
On the value-distribution of the difference between logarithms of two symmetric power L-functions
(RIMS Workshop 2016 Problems and prospects in Analytic Number Theory 2016)
