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ArticleOriginal scientific text

Title

The Siegel-Walfisz theorem for Rankin-Selberg L-functions associated with two cusp forms

Authors 1

Affiliations

  1. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan

Bibliography

  1. E. Carletti, G. Monti Bragadin and A. Perelli, On general L-functions, Acta Arith. 66 (1994), 147-179.
  2. H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, 1980.
  3. P. Deligne, La conjecture de Weil I, Inst. Hautes Études Sci. Publ. Math. 43 (1974), 273-307.
  4. D. N. Goldfeld, A simple proof of Siegel's theorem, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 1055.
  5. E. P. Golubeva and O. M. Fomenko, Values of Dirichlet series associated with modular forms at the points s=1/2, 1, J. Soviet Math. 36 (1987), 79-93.
  6. J. L. Hafner, On the representation of the summatory functions of a class of arithmetical functions, in: Lecture Notes in Math. 899, Springer, 1981, 148-165.
  7. J. Hoffstein and P. Lockhart, Coefficients of Maass forms and the Siegel zero, Ann. of Math. 140 (1994), 161-181.
  8. J. Hoffstein and D. Ramakrishnan, Siegel zeros and cusp forms, Internat. Math. Res. Notices (1995), 279-308.
  9. W. Li, L-series of Rankin type and their functional equations, Math. Ann. 244 (1979), 135-166.
  10. Ju. I. Manin and A. A. Pančiškin, Convolutions of Hecke series and their values at lattice points, Math. USSR-Sb. 33 (1977), 539-571.
  11. A. P. Ogg, On a convolution of L-series, Invent. Math. 7 (1969), 297-312.
  12. A. Perelli, General L-functions, Ann. Mat. Pura Appl. 130 (1982), 287-306.
  13. A. Perelli, On the prime number theorem for the coefficients of certain modular forms, in: Banach Center Publ. 17, PWN-Polish Sci. Publ., Warszawa, 1985, 405-410.
  14. A. Perelli and G. Puglisi, Real zeros of general L-functions, Rend. Accad. Naz. Lincei (8) 70 (1982), 67-74.
  15. C. L. Siegel, Advanced Analytic Number Theory, Tata Inst. Fund. Res., Bombay, 1980.
Acta Arithmetica
2000/92/3
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Pages:
215-227
Main language of publication
English
Received
1998-08-17
Accepted
1999-07-03
Published
2000
Exact and natural sciences