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Brigham Young University
Math Department

Darrin Doud

322 TMCB
Department of Mathematics
Brigham Young University
Provo, UT 84602


Even icosahedral Galois representations with prime conductor

with Michael W. Moore
Journal of Number Theory, 118:1 (2006) 62-70.

Abstract: In this paper we describe calculations which distinguish between two possibilities for Galois representations in examples given by Ash, Doud, and Pollack of a generalization of a conjecture of Serre. Our calculations allow us to strengthen the evidence for this conjecture.



Cited in

  • Andrew Booker and Andreas Strombergsson, Numerical computations with the trace formula and the Selberg eigenvalue conjecture, Journal fur die reine und angewandte Mathematik, 607 (2007), 113--161.
  • John Jones and David Roberts, Number fields ramified at one prime, in Algorithmic Number Theory, Lecture Notes in Computer Science volume 5011, 2008, 226-239.
  • Meghan DeWitt and Darrin Doud, Finding Galois representations corresponding to certain Hecke eigenclasses, Int. J. Number Theory, 5 (2009), 1-11.
  • Nigel Boston and Nadya Markin, The fewest primes ramified in a $G$-extension of Q, Ann. Sci. Math. Quebec, 33 (2009), 145-154.
  • Jared Weinstein, Reciprocity laws and Galois representations: recent breakthroughs, Bull. Amer. Math. Soc. (N.S.) 53 (2016), 1-39.

Maintained by Darrin Doud.

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