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Autor:
Miglior, F., author, Pinotti, L., author, Boyle, L., author, Kenny, D., author, Lee, M., author, De Marchi, M., author, Cadavez, V.A.P., author, Millet, S., author, Evans, R., author, Veldkamp, T., author, Pastell, M., author, Pollott, G., author, Spoolder, H., author, Maselyne, J., author, Coppens, T., author, Watteyn, A., author, De Visscher, A., author, Kowalski, E., author, Aluwé, M., author, Tuyttens, F., author
Publikováno v:
Book of Abstracts of the 73rd Annual Meeting of the European Federation of Animal Science. :462-462
Publikováno v:
In animal March 2024 18(3)
We introduce a notion of complexity of a complex of ell-adic sheaves on a quasi-projective variety and prove that the six operations are "continuous", in the sense that the complexity of the output sheaves is bounded solely in terms of the complexity
Externí odkaz:
http://arxiv.org/abs/2101.00635
Akademický článek
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We prove non-trivial bounds for bilinear forms with hyper-Kloosterman sums with characters modulo a prime $q$ which, for both variables of length $M$, are non-trivial as soon as $M\geq q^{3/8+\delta}$ for any $\delta>0$. This range, which matches Bur
Externí odkaz:
http://arxiv.org/abs/1802.09849
Autor:
Kowalski, E., Sawin, W.
We obtain statistical results on the possible distribution of all partial sums of a Kloosterman sum modulo a prime, by computing explicitly the support of the limiting random Fourier series of our earlier functional limit theorem for Kloosterman path
Externí odkaz:
http://arxiv.org/abs/1709.05192
Autor:
Kowalski, E.
We prove a version of Bagchi's Theorem and of Voronin's Universality Theorem for family of primitive cusp forms of weight $2$ and prime level, and discuss under which conditions the argument will apply to general reasonable family of automorphic $L$-
Externí odkaz:
http://arxiv.org/abs/1702.05610
Publikováno v:
Annals of Mathematics, Vol 186, no. 2, September 2017
We prove non-trivial bounds for general bilinear forms in hyper-Kloosterman sums when the sizes of both variables may be below the P\'olya-Vinogradov range. We then derive applications to the second moment of holomorphic cusp forms twisted by charact
Externí odkaz:
http://arxiv.org/abs/1511.01636
Autor:
Kowalski, E., Soundararajan, K.
Publikováno v:
In Advances in Mathematics 16 July 2021 385
We consider sums of oscillating functions on intervals in cyclic groups of size close to the square root of the size of the group. We first prove non-trivial estimates for intervals of length slightly larger than this square root (bridging the "Poly\
Externí odkaz:
http://arxiv.org/abs/1508.00512