4 citations · 22 across the 13 of their papers we have counts for
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math.AG2019★ 3 cited
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…
math.AG2019★ 1 cited
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…
math.AG2019★ 1 cited
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…