4 citations · 7 across the 6 of their papers we have counts for
6 papers
Lattice sums of -Bessel functions, theta functions, linear codes and heat equations
Takehiro Hasegawa, Hayato Saigo, Seiken Saito +1
We extend a certain type of identities on sums of -Bessel functions on lattices, previously given by G. Chinta, J. Jorgenson, A. Karlsson and M. Neuhauser. Moreover we prove tha…
The limit theorem with respect to the matrices on non-backtracking paths of a graph
Takehiro Hasegawa, Takashi Komatsu, Norio Konno +4
We give a limit theorem with respect to the matrices related to non-backtracking paths of a regular graph. The limit obtained closely resembles the th moments of the arcsine law…
A quantum probabilistic approach to Hecke algebras for -adic
Takehiro Hasegawa, Hayato Saigo, Seiken Saito +1
The subject of the present paper is an application of quantum probability to -adic objects. We give a quantum-probabilistic interpretation of the spherical Hecke algebra for ${\…
An Explicit Shimura Tower of Function Fields over a Number Field: An Application of Takeuchi's List
Takehiro Hasegawa
Elkies proposed a procedure for constructing explicit towers of curves, and gave two towers of Shimura curves as relevant examples. In this paper, we present a new explicit tower o…
Explicit formula of a supersingular polynomial for rank-2 Drinfeld modules and applications
Takehiro Hasegawa
Rank-2 Drinfeld modules are a function-field analogue of elliptic curves, and the purpose of this paper is to investigate similarities and differences between rank-2 Drinfeld modul…
On graph theory Mertens' theorems
Takehiro Hasegawa, Seiken Saito
In this paper, we study graph-theoretic analogies of the Mertens' theorems by using basic properties of the Ihara zeta-function. One of our results is a refinement of a special cas…