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Ternary quadratic forms and half-integral weight modular forms

  • Alia Hamieh (a1)
Abstract
Abstract

Let k be a positive integer such that k≡3 mod 4, and let N be a positive square-free integer. In this paper, we compute a basis for the two-dimensional subspace Sk/20(4N),F) of half-integral weight modular forms associated, via the Shimura correspondence, to a newform FSk−10(N)), which satisfies . This is accomplished by using a result of Waldspurger, which allows one to produce a basis for the forms that correspond to a given F via local considerations, once a form in the Kohnen space has been determined.

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References
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LMS Journal of Computation and Mathematics
  • ISSN: -
  • EISSN: 1461-1570
  • URL: /core/journals/lms-journal-of-computation-and-mathematics
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