Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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CONGRUENCES OF L-VALUES FOR CYCLIC EXTENSIONS

  • Lee, Joon-Gul (Department of Mathematics Education, Hongik University)
  • Received : 2010.09.30
  • Accepted : 2010.12.13
  • Published : 2010.12.25
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Abstract

We study the consequences of Gross's conjecture for cyclic extensions of degree $l^2$ where l is prime, and deduce that the L-values at s = 0 satisfy certain congruence relations.

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References

  1. David Burns and Joongul Lee. On the refined class number formula of Gross. J. Number Theory, 107(2):282-286, 2004. https://doi.org/10.1016/j.jnt.2004.02.002
  2. Pierre Deligne and Kenneth A. Ribet. Values of abelian L-functions at negative integers over totally real fields. Invent. Math., 59(3):227-286, 1980. https://doi.org/10.1007/BF01453237
  3. Benedict H. Gross. On the values of abelian L-functions at s = 0. J. Fac. Sci. Univ. Tokyo Sect. IA Math., 35(1):177-197, 1988.

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