• Mathematics
  • Published 2018

Heuristics in direction of a p-adic Brauer--Siegel theorem

@inproceedings{Gras2018HeuristicsID,
  title={Heuristics in direction of a p-adic Brauer--Siegel theorem},
  author={Georges Gras},
  year={2018}
}
Let p be a fixed prime number. Let K be a totally real number field of discriminant D_K and let T_K be the torsion group of the Galois group of the maximal abelian p-ramified pro-p-extension of K (under Leopoldt's conjecture). We conjecture the existence of a constant C_p>0 such that log(#T_K) ≤ C_p log(\sqrt(D_K)) when K varies in some specified families (e.g., fields of fixed degree). In some sense, we suggest the existence of a p-adic analogue, of the classical Brauer--Siegel Theorem… CONTINUE READING
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SHOWING 1-10 OF 37 REFERENCES

Galois representations with open image

VIEW 8 EXCERPTS
HIGHLY INFLUENTIAL

Wieferich's criterion and the abc-conjecture

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

Zeroes of p-adic L-functions, Séminaire de théorie des nombres, Paris, 1980-81 (Sém

  • L. C. Washington
  • Delange–Pisot–Poitou), Birkhäuser,
  • 2019
VIEW 2 EXCERPTS

Maire,On the invariant factors of class groups in towers of number fields, Canad

  • C. F. Hajir
  • J. Math
  • 2018
VIEW 2 EXCERPTS