Zobrazeno 1 - 10 of 40 pro vyhledávání: '"Seiken Saito"'
2
An asymptotic formula for the logarithm of generalized partition functions
Autor: Seiken Saito
Publikováno v: The Ramanujan Journal. 49:39-53
Let $$\Lambda =\{ \lambda _j\}_{j=1}^\infty $$ be a set of positive integers, and let $$p_\Lambda (n)$$ be the number of ways of writing n as a sum of positive integers $$\lambda \in \Lambda $$ such that $$\chi (\lambda )=1$$ and $$f(\lambda ) \equiv
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::984cd7b4b4bd2c760cb0d4259b0ec7d2
https://doi.org/10.1007/s11139-018-0088-6
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3
A proof of Terras’ conjecture on the radius of convergence of the Ihara zeta function
Autor: Seiken Saito
Publikováno v: Discrete Mathematics. 341:990-996
We prove the conjecture by Audrey Terras (2011) on the inequalities among the spectral radius ρ X of a finite graph X , the radius of convergence R of its Ihara zeta function Z X ( u ) , and the average degree d X ¯ of X . Relating to Terras’ con
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9bba37c9eba0e1f43599204f6bc16e25
https://doi.org/10.1016/j.disc.2018.01.005
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4
A note on the moments of the Kesten distribution
Autor: Takehiro Hasegawa, Seiken Saito
Publikováno v: Discrete Mathematics. 344:112524
In this paper, we present two explicit expressions of the moments M 2 k of the Kesten distribution in terms of Catalan's triangles T k , i = k − i + 1 k + 1 ( k + i k ) and Shapiro's Catalan triangles B k , j = j k ( 2 k k − j ) , respectively. A
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::54b38cb8f8f28412cb71d2ff60b28988
https://doi.org/10.1016/j.disc.2021.112524
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5
A generalization of a graph theory Mertens’ theorem: Galois covering case
Autor: Iwao Sato, Seiken Saito, Takehiro Hasegawa
Publikováno v: Forum Mathematicum. 30:599-615
In 1874, Franz Mertens proved the so-called Mertens’ theorem, and in 1974, Kenneth S. Williams showed Mertens’ theorem associated with a character. In a previous paper, we presented a graph-theoretic analogue to Williams’ theorem. In this paper
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d8710069069aff36b8cf8758dc965c6b
https://doi.org/10.1515/forum-2016-0060
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8
Elektronická kniha
Introduction To Non-abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-dimensional Galois Representations
Autor: Toyokazu Hiramatsu, Seiken Saito
This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abe
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9
A generalized Bartholdi zeta function for a regular covering of a bipartite graph
Autor: Iwao Sato, Seiken Saito
Publikováno v: Linear Algebra and its Applications. 438(3):1025-1056
Recently, Sato [13] introduced a generalized Bartholdi zeta function of a bipartite graph, and presented three determinant expressions of it. At first, we present a decomposition formula for the generalized Bartholdi zeta function of a regular coveri
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5dda87264842bb86730b283354a53ba0
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10
Indefinite modular forms
Autor: Seiken Saito, Toyokazu Hiramatsu
Publikováno v: An Introduction to Non-Abelian Class Field Theory: Automorphic Forms of Weight 1 and 2-Dimensional Galois Representations
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7164984b0abceb6dde08c42b9e4731f0
https://doi.org/10.1142/9789813142275_0003
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