6th
● Shunsuke YAMANA Assistant Professor
Research Interests:
Number Theory
Research Topic:
Special values of automorphic Lfunctions and periods
Short Introduction
One of the most important themes in modern mathematics is the study of functions, called Lfunctions or zeta functions. The Riemann zeta function, for instance, is the most famous Lfunction. It is known that the knowledge of zeros of the Riemann zeta function is crucial to unravel a rather mysterious problem: how are prime numbers distributed? Besides prime numbers, we can define Lfunctions for various mathematical objects, enabling us to deduce their deep properties from analysis of the Lfunctions. Since Shunsuke was fascinated by Lfunctions while writing his thesis, he has been investigating Lfunctions mainly by analytic methods, but the study of Lfunctions involves a wide range of fields. In his Hakubi project, he will try to find a new aspect of the theory by studying Lfunctions also from both algebraic and geometric viewpoints.
Latest News

Nov. 1, 2017
Shunsuke Yamana published a paper titled as " Siegel series for skew Hermitian forms over quaternion algebras", in the Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg 87, 4359, (2017).

Nov. 1, 2017
Shunsuke Yamana published a paper titled as "Twisted symmetric square Lfunctions and invariant trilinear forms, by Eyal Kaplan & Shunsuke Yamana", in the Mathematische Zeitschrift 285, 739793 (2017).

Nov. 1, 2017
Shunsuke Yamana published a paper titled as "Local symmetric square Lfactors of representations of general linear groups", in the Pacific Journal of Mathematics 286 no.1, 215256 (2017).

Aug. 26, 2015
Shunsuke Yamana published "Periods of residual automorphic forms" in Journal of Functional Analysis.

Aug. 26, 2015
Shunsuke Yamana published "Poles of exterior cube Lfunctions for GL(6)" in Mathematische Zeitschrift.

Aug. 26, 2015
Shunsuke Yamana published "Periods of automorphic forms: the case of (GL(n+1)×GL(n),GL(n))" in Compositio Mathematica.