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pro vyhledávání: '"Alexandre Peyrot"'
Publikováno v:
International Journal of Number Theory. 17:2175-2206
We consider the identity component of the Sato-Tate group of the Jacobian of curves of the form $$C_1\colon y^2=x^{2g+2}+c, C_2\colon y^2=x^{2g+1}+cx, C_3\colon y^2=x^{2g+1} +c,$$ where $g$ is the genus of the curve and $c\in\mathbb Q^*$ is constant.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da6dd210c178805bbb293ccee50e9361
https://doi.org/10.1142/s1793042121500822
https://doi.org/10.1142/s1793042121500822
Autor:
Alexandre Peyrot
Publikováno v:
International Journal of Number Theory. 16:173-206
We investigate the existence of large values of [Formula: see text]-functions attached to Maass forms on the critical line with prescribed argument. The results obtained rely on the resonance method developed by Soundararajan and furthered by Hough.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c6e98c022f6d57f4638615b6ba0cc86
https://doi.org/10.1142/s1793042120500104
https://doi.org/10.1142/s1793042120500104
Publikováno v:
The Quarterly Journal of Mathematics. 70:831-848
In recent years, a variant of the resonance method was developed which allowed to obtain improved Ω-results for the Riemann zeta function along vertical lines in the critical strip. In the present paper, we show how this method can be adapted to pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::713b61d732382299d15599d017300c38
https://doi.org/10.1093/qmath/hay067
https://doi.org/10.1093/qmath/hay067
Autor:
Alexandre Peyrot
We investigate non-correlation of Fourier coefficients of Maass forms against a class of real oscillatory functions, in analogy to known results with Frobenius trace functions. We also establish an equidistribution result for twisted horocycles as a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe9dc85a9794c81bdc05ab59510c1e1a
https://infoscience.epfl.ch/record/261482
https://infoscience.epfl.ch/record/261482
Publikováno v:
TU Graz
In recent years a variant of the resonance method was developed which allowed to obtain improved $\Omega$-results for the Riemann zeta function along vertical lines in the critical strip. In the present paper we show how this method can be adapted to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_dedup_::c7c21a0718cdde61e08343ad5b69fd0e
https://graz.pure.elsevier.com/en/publications/on-large-values-of-lsigmachi(b3014f54-81bc-486a-9819-02185a9963e6).html
https://graz.pure.elsevier.com/en/publications/on-large-values-of-lsigmachi(b3014f54-81bc-486a-9819-02185a9963e6).html