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Congruence zeta functions forM 2(ℚ) and their associated modular forms

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References

  1. Andrianov, A.N.: Zeta functions of simple algebras with non-abelian characters. Russ. Math. Surveys23, 1–65 (1968)

    Google Scholar 

  2. Eichler, M.: Lectures on modular correspondences. Bombay: Tata Institute of Fundamental Research 1957

    Google Scholar 

  3. Hecke, E.: Zur Theorie der elliptischen Modulfunktionen. Math. Ann.97, 210–242 (1927)

    Google Scholar 

  4. Hecke, E.: Theorie der Eisenstein-Reihen höherer Stufe und ihre Anwendung auf Funktionstionstheorie und Arithmetik. Abh. Math. Sem. Hamburg5, 199–224 (1927)

    Google Scholar 

  5. Hecke, E.: Mathematische Werke. Göttingen: Vandenhoek und Ruprecht 1959

    Google Scholar 

  6. Hey, K.: Analytische Zahlentheorie in Systemen hyperkomplexer Zahlen. Dissertation, Hamburg (1929)

  7. Kinoshita, M.: On the ζ-function of a total matric algebra over the field of rational numbers. J. Math. Soc. Japan17, 374–408 (1965)

    Google Scholar 

  8. Kubota, T.: Elementary theory of Eisenstein series. New York: Wiley 1973

    Google Scholar 

  9. Langlands, R.: The volume of the fundamental domain for some arithmetical suogroups of Chevalley groups. Proc. Symp. Pure Math. AMS9, 143–148 (1966)

    Google Scholar 

  10. Maaß, H.: Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. Math. Ann.121, 141–183 (1949)

    Google Scholar 

  11. Maaß, H.: Lectures on modular functions of one complex variable. Bombay: Tata Institute of Fundamental Research 1964

    Google Scholar 

  12. O'Meara, O.T.: Introduction to quadratic forms. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  13. Schoeneberg, B.: Indefinite Quaternionen und Modulfunktionen. Math. Ann.113, 380–391 (1936)

    Google Scholar 

  14. Shintani, T.: On Dirichlet series whose coefficients are class numbers of integral binary cubic forms. J. Math. Soc. Japan24, 132–188 (1972)

    Google Scholar 

  15. Siegel, C.L.: Über die analytische Theorie der quadratischen Formen. Ann. Math.36, 527–606 (1935)

    Google Scholar 

  16. Weil, A.: Sur certains groupes d'opérateurs unitaires. Acta Math.111, 143–211 (1964)

    Google Scholar 

  17. Weil, A.: Fonction zeta et distributions. Seminaire Bourbaki No. 312, 1966

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  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    J. W. Cogdell

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  1. J. W. Cogdell
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Cogdell, J.W. Congruence zeta functions forM 2(ℚ) and their associated modular forms. Math. Ann. 266, 141–198 (1983). https://doi.org/10.1007/BF01458441

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