Monthly Seminar on Arithmetic of Automorphic Forms

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Date, time & place Saturday 13:30 - 16:00 123Room #123 (Graduate School of Math. Sci. Bldg.)

2013/11/16

13:30-16:00   Room #123 (Graduate School of Math. Sci. Bldg.)
Keijyu SOUNO (Tokyo University of Agriculture and Technology) 13:30-14:30
Pair correlation of low lying zeros of quadratic L-functions (JAPANESE)
[ Abstract ]
In this talk, we give certain asymptotic formula involving non-trivial zeros of L-functions associated to Knonecker symbol under the assumption of the Generalized Riemann Hypothesis. From this formula, we obtain several results on non-trivial zeros of quadratic L-functions near the real axis.
Shigeki MATSUTANI
所属: 相模原
(Sagamihara city) 15:30-16:00
sigam function and space curves (JAPANESE)
[ Abstract ]
In this talk, I show that Kleinian sigma function, which is a generalization of Weierstrass elliptic sigma function, is extended to space curves, (3,4,5), (3,7,8) and (6,13,14,15,16) type. In terms of the function, the Jacobi inversion formula is also generalized, in which the affine coordinates are given as functions of strata of Jacobi variety associated with these curves.