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Periods of mixed cusp forms

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Abstract

We define the periods of mixed cusp forms and establish generalized Eichler-Shimura relations for the periods of mixed cusp forms. We also construct modular symbols for mixed cusp forms and express the periods of mixed cusp forms in terms of these modular symbols.

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References

  1. B. Birch, Elliptic curves overQ: a progress report, AMS Proc. Symp. Pure Math.20 (1971), 396–400

    MathSciNet  Google Scholar 

  2. M. Eichler, Eine Verallgemeinerung der Abelschen Integrale, Math. Z.67 (1957), 267–298

    Article  MATH  MathSciNet  Google Scholar 

  3. B. Hunt and W. Meyer, Mixed automorphic forms and invariants of elliptic surfaces, Math. Ann.271 (1985), 53–80

    Article  MATH  MathSciNet  Google Scholar 

  4. N. Koblitz, Congruences for periods of modular forms, Duke Math. J.54 (1987), 361–373

    Article  MATH  MathSciNet  Google Scholar 

  5. K. Kodaira, On compact analytic surfaces II–III, Ann. Math.77 (1963), 563–626;78 (1963), 1–40

    Article  Google Scholar 

  6. M. H. Lee, Mixed cusp forms and holomorphic forms on elliptic varieties, Pac. J. Math.132 (1988), 363–370

    MATH  Google Scholar 

  7. Y. Manin, Cyclotomic fields and modular curves, Russian Math. Surveys26 (1971), 7–78

    Article  MATH  MathSciNet  Google Scholar 

  8. Y. Manin, Parabolic points and zeta functions of modular curves, Math. USSR Izv.6 (1972), 19–64

    Article  MathSciNet  Google Scholar 

  9. Y. Manin, Periods of parabolic forms andp-adic Hecke series, Math USSR Sb.21 (1973), 371–393

    Article  Google Scholar 

  10. M. Razar, Values of Dirichlet series at integers in the critical strip, Modular Functions of One Variable VI, Springer (1977), 1–10

  11. G. Shimura, Sur les intégrales attachées aux formes automorphes, J. Math. Soc. Japan11 (1959), 291–311

    Article  MathSciNet  MATH  Google Scholar 

  12. V. Ŝokurov, The study of the homology of Kuga varieties, Math. USSR Izv.16 (1981), 399–418

    Article  Google Scholar 

  13. V. Ŝokurov, Shimura integrals of cusp forms, Math. USSR Izv.16 (1981), 603–646

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematics, University of Northern Iowa, 50614, Cedar Falls, Iowa, USA

    Min Ho Lee

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  1. Min Ho Lee
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Lee, M.H. Periods of mixed cusp forms. Manuscripta Math 73, 163–177 (1991). https://doi.org/10.1007/BF02567636

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  • DOI: https://doi.org/10.1007/BF02567636

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