N. Minami

activity

20092022

most citedHomotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

10 citations · 18 across the 7 of their papers we have counts for

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Showing 2009Show all

5 papers · 1 filter

math.NT2009★ 2 cited

Meromorphicity of some deformed multivariable zeta functions for $F_{1}$ -schemes

Norihiko Minami

Motivated by recent work of Deitmar-Koyama-Kurokawa, Kurokawa-Ochiai, Connes-Consani, and the author, we define some multivariable deformed zeta functions of Hurwitz-Igusa type for…

math.NT2009★ 1 cited

On the random variable $N^{r} ∋ (k_{1}, k_{2}, ..., k_{r}) \mapsto g cd (n, k_{1} k_{2} ... k_{r}) \in N$

Norihiko Minami

We compute the "moments" and its continuous anaougue of the random variable $N^{r} ∋ (k_{1}, k_{2}, ..., k_{r}) \mapsto g cd (n, k_{1} k_{2} ... k_{r}) \in N$ by a purely elementary method. This…

math.NT2009

On the random variable $N ∋ l \mapsto g cd (l, n_{1}) g cd (l, n_{2}) ... g cd (l, n_{k}) \in N$

Norihiko Minami

We compute the "moments" and its continuous analogue of the random variable $N ∋ l \mapsto g cd (l, n_{1}) g cd (l, n_{2}) ... g cd (l, n_{k}) \in N$ by a purely elementary method. This…

math.AT2009★ 10 cited

Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

Mikio Furuta, Yukio Kametani, Hirofumi Matsue +1

We show the "non-existence" results are essential for all the previous known applications of the Bauer-Furuta stable homotopy Seiberg-Witten invariants. As an example, we present a…

math.AT2009★ 5 cited

Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

Mikio Furuta, Yukio Kametani, Norihiko Minami

We prove a nilpotency theorem for the Bauer-Furuta stable homotopy Seiberg-Witten invariants for smooth closed 4-manifolds with trivial first Betti number.

Meromorphicity of some deformed multivariable zeta functions for F1​-schemes

On the random variable Nr∋(k1​,k2​,...,kr​)↦gcd(n,k1​k2​...kr​)∈N

On the random variable N∋l↦gcd(l,n1​)gcd(l,n2​)...gcd(l,nk​)∈N

Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

Nilpotency of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

Meromorphicity of some deformed multivariable zeta functions for $F_{1}$ -schemes

On the random variable $N^{r} ∋ (k_{1}, k_{2}, ..., k_{r}) \mapsto g cd (n, k_{1} k_{2} ... k_{r}) \in N$

On the random variable $N ∋ l \mapsto g cd (l, n_{1}) g cd (l, n_{2}) ... g cd (l, n_{k}) \in N$