Keywords
- Conjugacy Class
- Zeta Function
- Modular Form
- Prime Power
- Dirichlet Series
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References
Andrianov, A.N. Euler products corresponding to Siegel modular forms of genus 2, Russ. Math. Surveys, 29 (1974), 45–116.
Brekke, L., Freund, G.O., Olson, M. and Witten, E., Non-archimedean string dynamics, Nuclear Physics, B302 (1988), 365–402.
Dahlquist, G., On the analytic continuation of Eulerian products, Arkiv för Matematik, 1 (1951), 533–554.
Estermann, T., On certain functions represented by Dirichlet series, Proc. London Math. Soc., (2) 27 (1928), 435–448.
Godement, R. and Jacquet, H., “Zeta Functions of Simple Algebras,” Lecture Notes in Math., 260, Springer-Verlag, 1972.
Igusa, J.-I., Zeta distributions associated with some invariants, Amer. J. Math., 109 (1987), 1–34.
Kornblum, H., Über die Primfunktionen in einer arithmetische Progression, Math. Zeit., 5 (1919), 100–111.
Kurokawa, N., On the meromorphy of Euler products (I) (II), Proc. London Math. Soc., 53 (1986), 1–47, 209–236.
Kurokawa, N., On the meromorphy of Euler products, Proc. Japan Acad., 54A (1978), 163–166.
Kurokawa, N., On certain Euler products, Acta Arithmetica, 48 (1987), 49–52.
Landau, E. and Walfisz, A., Über die Nichtfortsetzbarkeit einiger durch Dirichletsche Reihen definierter Funktionen, Rend. di Palermo, 44 (1919), 82–86.
Maass, H., Indefinite Quadratische Formen und Eulerprodukte, Comm. Pure and Appl. Math., 29 (1976), 689–699.
Weil, A., Abstract versus classical algebraic geometry, Proc. International Math. Congress, Amsterdam, 1954, vol. III, 550–558.
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© 1990 Springer-Verlag
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Kurokawa, N. (1990). Analyticity of dirichlet series over prime powers. In: Nagasaka, K., Fouvry, E. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 1434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097133
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DOI: https://doi.org/10.1007/BFb0097133
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