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- W2561949072 abstract "In this paper, we study factorizability of (mathbb{C})-valued formal series at fixed vertices, called the graph zeta functions, induced by the reduced length on the graph groupoids of given finite connected directed graphs. The construction of such functions is motivated by that of Redei zeta functions. In particular, we are interested in (i) non-factorizability of such functions, and (ii) certain factorizable functions induced by non-factorizable functions. By constructing factorizable functions from our non-factorizable functions, we study relations between graph zeta functions and well-known number-theoretic objects, the Riemann zeta function and the Euler totient function." @default.
- W2561949072 created "2017-01-06" @default.
- W2561949072 creator A5083592698 @default.
- W2561949072 date "2017-01-01" @default.
- W2561949072 modified "2023-10-16" @default.
- W2561949072 title "Non-factorizable C-valued functions induced by finite connected graphs" @default.
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- W2561949072 doi "https://doi.org/10.7494/opmath.2017.37.2.225" @default.
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