منابع مشابه
On some relations for multiple L-values
In this talk, I survey several Q-linear relations for multiple L-values of Arakawa-Kaneko type. T. Arakawa and M. Kaneko proved in 2004 the so-called derivation relation, which is proved as a corollary of the regularized double shuffle relation. Kaneko firstly formulated an extension of the derivation relation by modeling a Hopf algebra introduced by A. Connes and H. Moscovici. G. Kawashima and...
متن کاملOn the values of Artin L-functions
I wrote this paper in 1979, as an attempt to extend the results of Borel [2] on zeta functions at negative integers to Artin L-functions. The conceptual framework was provided by Tate’s formulation [10] of Stark’s conjectures. What I needed was a workable definition of the regulator homomorphism in complex K-theory. I discussed this with Borel at the Institute, first over lunch and then in his ...
متن کاملRemarks on special values of L-functions
This article does not represent precisely a talk given at the symposium, but is complementary to [DenS]. Its purpose is to explain a setting in which the various conjectures on special values of L-functions admit a unified formulation. At critical points, Deligne’s conjecture [Del2] relates the value of an L-function to a certain period, and at non-critical points, the conjectures of Beilinson ...
متن کاملOn Large Values of L Holomorphic Functions
The solution to (1.1) gives the value of the Bergman kernel function associated to Ω (the kernel of the operator projecting L(Ω) orthogonally onto O(Ω)) at (p, p). If n = 1, it is a classical fact that MΩ(p) is bounded, from above and below, by a constant factor times dist(p, bΩ)−2. In higher dimensions, the geometry of bΩ influences the size of MΩ(p) in non-trivial ways. A general lower bound ...
متن کاملTransformations of L-values
In our recent work with M. Rogers on resolving some Boyd’s conjectures on two-variate Mahler measures, a new analytical machinery was introduced to write the values L(E, 2) of L-series of elliptic curves as periods in the sense of Kontsevich and Zagier. Here we outline, in slightly more general settings, the novelty of our method with Rogers, and provide a simple illustrative example. Throughou...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2004
ISSN: 0025-5645
DOI: 10.2969/jmsj/1190905444