1 N ov 2 00 1 Spacing of Zeros of Hecke L-Functions and the Class Number Problem

  title={1 N ov 2 00 1 Spacing of Zeros of Hecke L-Functions and the Class Number Problem},
  author={Brian Conrey and Henryk Iwaniec},
Contents: 1. A bit of history and results 2. Basic automorphic forms 3. Summation formulas 4. Convolution sums 5. Point to integral mean-values of Dirichlet's series 6. Evaluation of A(T) 7. Approximate functional equation 8. Evaluation of ℓ(s) on average 9. Estimation of x(s) on average 10. Applications The group of ideal classes Cℓ(K) of an imaginary quadratic field K = Q(√ −q) is the most fascinating finite group in arithmetic. Here we are faced with one of the most challenging problems in… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 30 references

Bilinear forms with Kloosterman fractions

  • W Duke, J Friedlander, H Iwaniec
  • Invent. Math
  • 1997

Topics in Classical Automorphic Forms

  • H Iwaniec
  • Grad. Stud. Math. AMS Providence
  • 1997

Heegner points and derivatives of L-series

  • B Gross, D Zagier
  • Invent. Math
  • 1986

A note on gaps between zero of the zeta function

  • J B Conrey, A Ghosh, S M Gonek
  • Bull. London Math. Soc
  • 1984

Nombres de classes des corps quadratiques imaginaires, Séminaire N

  • J Oesterlé
  • Bourbaki
  • 1983

Gaps between zeros of the zeta function, in Topics in Classical Number Theory

  • H L Montgomery, A Odlyzko
  • Gaps between zeros of the zeta function, in…
  • 1981

Statistical Deuring-Heilbronn phenomenon, Acta Arith

  • M Jutila
  • Statistical Deuring-Heilbronn phenomenon, Acta…
  • 1980

Twists of newforms and pseudo-eigenvalues of W -operators

  • Al A O Atkin, W Li
  • Invent. Math
  • 1978

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