Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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FIRST GAP SIZE OF COEFFICIENTS OF A MODULAR FORM

  • Choi, SoYoung (Department of Mathematics Education Dongguk University)
  • Published : 2012.11.15
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Abstract

We find an upper bound on the least positive exponent of a nonzero Fourier coefficient for a modular form with a nonzero constant term for ${\Gamma}_0(N)$ under certain conditions where N is a prime number $p$ or $2p$.

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References

  1. B. Brent, Quadratic Minima and Modular Forms, Experiment. Math. 7 (1998), 257-274. https://doi.org/10.1080/10586458.1998.10504372
  2. B. Brent, Quadratic Minima and Modular Forms II, Acta. Arith. XCVI. 4 (2001), 381-387.
  3. C. L. Siegel, Berechnung von Zetafunktionen an ganzzahilgen Stellen, Nachr. Akad. Wiss. Goottingen Math.-Phys. Kl. II no 10 (1969), 87-102.