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Elliptic Curves and Modularity Jack A. Thorne Abstract We ...
https://www.dpmms.cam.ac.uk/~jat58/EMS.pdf29 Sep 2023: 24, 14].). Our first goal in this article is to state the a version of this modularity conjecture forelliptic curves over a general number field K in as down to earth ... 24] F. Grunewald, H. Helling, J. Mennicke, SL2 over complex quadratic number fields. -
Modular forms and L-functions (Michaelmas 2019) — example sheet ...
https://www.dpmms.cam.ac.uk/~ajs1005/modular/ex-sheet-4-2019.pdf28 Nov 2019: 4. Let E2(z) = 1 24. n=1 σ1(n)qn = (3/π2)G2(z) as in sheet 2, Q8. -
Lossless Compression with Moderate Error Probability
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/MDP.pdf5 Jun 2020: Previous work along theselines has been described in [24]–[29]. These studies reportthat error probability vanishes sub-exponentially fast, and theycharacterize the rate of this decay. ... 24] J. Chen, D.-k. He, A. Jagmohan and L. A. Lastras-Montaño, -
Estimating the Entropy Rate of Spike Trains Yun GaoDiv. ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/spikes-CISS.pdf5 Jun 2020: In-form. Theory, 24:530–536, 1978. 3. -
The ODE Method and Spectral Theory of Markov Operators ...
https://www.dpmms.cam.ac.uk/~ik355/PAPERS/hkm.pdf5 Jun 2020: Sadhana, 24(4-5):425{452, 1999. Chance as necessity. 8. V.S. Borkar and S.P. ... Sadhana, 24(4-5):369{423, 1999. Chance as necessity. 16. S.V. Hanly and D. -
Example sheet 3, Galois Theory, 2021 1. Let M/K ...
https://www.dpmms.cam.ac.uk/study/II/Galois/2021-2022/ex3_2021.pdf15 Oct 2021: Find a monic polynomial over Z of degree 4 whoseGalois group is V = {e, (12)(34), (13)(24), (14)(23)}. -
Spaces of manifolds
https://www.dpmms.cam.ac.uk/~or257/slides/Princeton2022.pdf13 Apr 2022: 40. 42. 44. 46. 48. 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 -
Geometry-of-numbers over number fields and the density of ADEfamilies …
https://www.dpmms.cam.ac.uk/~mo512/nf.pdf23 May 2024: 1. 5.1 Averaging and reductions. 21. 5.2 Slicing. 24. 5.3 Congruence conditions. -
Ek-algebras and homological stability
https://www.dpmms.cam.ac.uk/~or257/slides/eCHT.pdf16 Jan 2020: Figure 1: Hd(Γg,1, Γg1,1; Q);? means unknown,? means not zero. Non-zero groups: use results of Faber, Kontsevich, Morita.24. -
The Ward Correspondence and StationaryAxisymmetric Spacetimes…
https://www.dpmms.cam.ac.uk/~gt306/mp1.pdf16 Jan 2024: where. νabcd =1. 24. det(η)εabcd. The coordinates (w,z,w̃, z̃) are called double null coordinates. ... wγn = z̃γn1 and zγn = w̃γn1. (24). The Birkhoff factorization F = f̃1f is given by4.
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