Rational period funcions and cycle integrals in hinger level cases
(최 소영 교수, 동국대)
abstract : Generalizing the results of Duke, Imamoglu and Toth we give an effective basis for the space of period polynomials in higer level case.
From Euler-Maclaurin formula to the rationality and integrality of zeta values
(전 병흠 박사, 연세대)
abstract : By using the Euler-Maclaurin summation formula and asymptotic expansion of Shintani generating function, we express the zeta values. From this expression, we derive the result of Klingen-Siegel concerning the zeta values of totally real number fields. We also discuss the method which can derive the integrality by using the related homological properties.
Indivisibility of class numbers of real quadratic function fields
(이 정연 박사, 이화여대)
abstract : In this paper we work on indivisibility of the class numbers of real quadratic
function fields. We find an explicit expression for a lower bound of the density of real quadratic function fields (with constant field ) whose class numbers are not divisible by a given prime . We point out that the explicit lower bound of such a density we found only depends on the prime , the degrees of the discriminants of real quadratic function fields, and the condition: either or not.
Seminar
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