Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A STUDY OF RAMANUJAN τ(n) NUMBER AND DEDEKIND ETA-FUNCTION

  • KIM, DAEYEOUL (Dept. of Mathematics, Korea Advanced Institute of Science and Technology) ;
  • PARK, JOONGSOO (Dept. of Mathematics, Woosuk University)
  • Received : 1998.04.23
  • Published : 1998.07.30
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Abstract

In this paper, we consider properties of Dedekind eta-function, modular discrimiant, thata-series and Weierstrass ${\wp}$-function. We prove the integrablities of ${\Delta}({\tau})$ and ${\eta}({\tau})$. Also, we give explicit formulae about ${\Delta}({\tau})$ and ${\tau}(n)$.

Keywords

References

  1. Journal of Ramanujan A note on the Dedekind eta-function Kim, D.
  2. FJMS v.5 no.4 A remark of the Dedekind ${\eta}{\tau}$-function and ${\theta}_3-series$ Park, H.;Kim, D.
  3. Advanced Topics in the Arithrmetic of Elliptic Curves Silvermann, J.
  4. The Arithmetic of Elliptic Curves Silvermann, J.
  5. The Coates-Wiles theorem revisted;Number Theory related to Fermat's Last Theorem Stark, H.;Koblitz, N.(ed.)