4 citations · 22 across the 13 of their papers we have counts for
13 papers
Zeta functions of Ramanujan graphs and modular forms
Kennichi Sugiyama
We will investigate the relationship between Ihara's zeta functions of Ramanujan graphs and Hasse-Weil's congruent zeta functions of modular curves. As an application we will descr…
A tower of Ramanujan graphs and a reciprocity law of graph zeta functions
Kennichi Sugiyama
Let l be an odd prime. We will construct a tower of connected regular Ramanujan graph of degree l+1 from of modular curves. This supplies an example of a collection of graphs whose…
On the space of theta functions for a prime level
Kennichi Sugiyama
Hecke expected that an explicit set of theta series obtained from maximal orders of the definite quaternion algebra over Q which is ramified at a prime N will be a basis of the spa…
An MDS code associated to an elliptic curve
Ken-ichi Sugiyama
We will construct an MDS(= the most distance separable) code which admits a decomposition such that every factor is still MDS. An effective way of decoding will be also discuss…
On a generalization of Deuring's results
Ken-ichi Sugiyama
Using the Dieudonne theory we will study a reduction of an abelian variety of complex multiplication. Our results may be regarded as a generalization of a classical theorem due to…
An archimedian analog of Iwasawa theory
Ken-ichi Sugiyama
We will show a conjecture which reduces Mazur-Tate-Teitelbaum conjecture to the known cases. In order to explain its background we will develop an archimedian analog of Iwasawa the…