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  2. Example Sheet 3. Lectures 13–18, Galois Theory Michaelmas 2010 ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2010-2011/2010_Galois_Ex3.pdf
    9 Nov 2010: group. 3.13. Use (1) the structure of (Z/(m)) (Problem 2.20), (2) the Dirichlet’s theorem onprimes in arithmetic progressions, stating that if a and b are coprime positive ... Write cos(2π/17) explicitly in terms of radicals. 3.20. (i) Let G be a
  3. Numbers and Sets (2010–11) Example Sheet 3 of 4 ...

    https://www.dpmms.cam.ac.uk/study/IA/Numbers%2BSets/2010-2011/examples-NS-10-3.pdf
    9 Nov 2010: Evaluate 1000! (mod 10249). 6. Without using a calculator, evaluate 20!2120 (mod 23) and 1710000 (mod 30).
  4. Example Sheet 1. Lectures 1–6, Galois Theory Michaelmas 2010 ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2010-2011/2010_Galois_Ex1.pdf
    20 Oct 2010: optional) October 20, 2010t.yoshida@dpmms.cam.ac.uk.
  5. Michaelmas Term 2010 T.A. Fisher Linear Algebra: Example Sheet ...

    https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/2010-2011/lin_alg-10-2.pdf
    27 Oct 2010: . 1 1 00 3 20 1 0. .  ,. . . 1 1 10 3 20 1 0. .  ,. . . 1 1 11 3 11 1 1. .
  6. Hypersurfaces and the Weil conjectures

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/bristol.pdf
    29 Jan 2010: Enough to prove RH for this component. 20 / 25. I: passing to a semistable family. ... Enough to prove RH for this component. 20 / 25. II: local monodromy.
  7. Vanishing cycles and non-classical parabolic cohomologyA. J.…

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/van.pdf
    29 Jan 2010: F intertwining and. Therefore( Xx; Z; F) ' ( X0x0; Z0; F0) as required.Combining 1.20 and 1.21 gives 1.9. ... J. Scholl; On the Hecke algebra of a noncongruence subgroup. Preprint (1993)20 J.-P.
  8. A note on trilinear forms for reducible representations and ...

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/trilinear.pdf
    29 Jan 2010: The key point is that in the displayed formula in themiddle of page 20, the denominator is non-zero; it vanishes only when one of V1,V2 is isomorphic to Ind.
  9. Example Sheet 2. Lectures 7–12, Galois Theory Michaelmas 2010 ...

    https://www.dpmms.cam.ac.uk/study/II/Galois/2010-2011/2010_Galois_Ex2.pdf
    5 Nov 2010: 2.20. In this question we determine the structure of the groups (Z/(m)).(i) Let p be an odd prime.
  10. On the equivalence of binary quartics J. E. Cremona ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/quarticequiv.pdf
    12 Oct 2010: 4(cd 6be)XY 3 (3d2 8ce)Y 4,. and the sextic. g6(X, Y ) = (b3 8a2d 4abc)X6 2(16a2e 2abd 4ac2 b2c)X5Y5(8abe b2d 4acd)X4Y 2
  11. Remarks on special values of L-functions Anthony J. Scholl* ...

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/remarks.pdf
    29 Jan 2010: Soulé. 20–1–1985. [Del4] P. Deligne; Le groupe fondamental de la droite projective moins.

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