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 (21):
Manami Hosoi, Yumiko Umegaki. On the distribution of $\log|L(\sigma,\chi)|}$ and $\log L(\sigma, \chi_D)}$in the modulus aspect. Functiones et Approximatio Commentarii Mathematici. 2025. -1. -1
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