Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Samit Dasgupta"'
Autor:
Samit Dasgupta, Mahesh Kakde
We calculate the constant terms of certain Hilbert modular Eisenstein series at all cusps. Our formula relates these constant terms to special values of Hecke $L$-series. This builds on previous work of Ozawa, in which a restricted class of Eisenstei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5bd5cf2d9b9cb662aa19d69e5176dbcf
Autor:
Samit Dasgupta, Michael Spieß
Publikováno v:
Journal of the European Mathematical Society. 20:2643-2683
We prove a conjecture of Gross regarding the "order of vanishing" of Stickelberger elements relative to an abelian tower of fields and give a cohomological construction of the conjectural Gross-Stark units. This is achieved by introducing an integral
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::678726a15559692724b9667eba49a350
https://doi.org/10.4171/jems/821
https://doi.org/10.4171/jems/821
Autor:
John Voight, Samit Dasgupta
Publikováno v:
Proceedings of the American Mathematical Society. 146:3257-3273
We prove that if $p \equiv 4,7 \pmod{9}$ is prime and $3$ is not a cube modulo $p$, then both of the equations $x^3+y^3=p$ and $x^3+y^3=p^2$ have a solution with $x,y \in \mathbb{Q}$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ab2c9f5b2ee35e4509b29bb8a7ba2d5
https://doi.org/10.1090/proc/14008
https://doi.org/10.1090/proc/14008
Publikováno v:
Dasgupta, S, Kakde, M & Ventullo, K 2018, ' On the Gross-Stark Conjecture ', ANNALS OF MATHEMATICS, vol. 188, no. 3, pp. 833-870 . https://doi.org/10.4007/annals.2018.188.3.3
In 1980, Gross conjectured a formula for the expected leading term at $s=0$ of the Deligne--Ribet $p$-adic $L$-function associated to a totally even character $\psi$ of a totally real field $F$. The conjecture states that after scaling by $L(\psi \om
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b165c2a55dde077f013bf46066129e9
https://kclpure.kcl.ac.uk/ws/files/100664191/gross_stark15.pdf
https://kclpure.kcl.ac.uk/ws/files/100664191/gross_stark15.pdf
Autor:
Samit Dasgupta
Publikováno v:
Inventiones mathematicae. 205:221-268
We prove that the p-adic L-series of the tensor square of a p-ordinary modular form factors as the product of the symmetric square p-adic L-series of the form and a Kubota–Leopoldt p-adic L-series. This establishes a generalization of a conjecture
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b95482be9221c31465e3be8e9a29654e
https://doi.org/10.1007/s00222-015-0634-4
https://doi.org/10.1007/s00222-015-0634-4
Publikováno v:
Commentarii Mathematici Helvetici, vol 90, iss 2
Author(s): Charollois, P; Dasgupta, S; Greenberg, M | Abstract: We define a cocycle on GLn(Q) using Shintani's method. This construction is closely related to earlier work of Solomon and Hill, but differs in that the cocycle property is achieved thro
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0da1f16c525f6687be5e77db5ee9508
https://doi.org/10.4171/cmh/360
https://doi.org/10.4171/cmh/360
Autor:
Michael Spieß, Samit Dasgupta
We present a conjectural formula for the principal minors and the characteristic polynomial of Gross's regulator matrix associated to a totally odd character of a totally real field. The formula is given in terms of the Eisenstein cocycle, which was
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d39f00745f8009f23c4c06e088a0a8c
Autor:
Samit Dasgupta, Pierre Charollois
Publikováno v:
Cambridge Journal of Mathematics. 2:49-90
We define an integral version of Sczech’s Eisenstein cocycle on GLn by smoothing at a prime l. As a result we obtain a new proof of the integrality of the values at nonpositive integers of the smoothed partial zeta functions associated to ray class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acbc3f694f7262c60c80ec05bdfdce91
https://doi.org/10.4310/cjm.2014.v2.n1.a2
https://doi.org/10.4310/cjm.2014.v2.n1.a2
Autor:
Samit Dasgupta
Publikováno v:
Journal of Number Theory. 133(3):915-925
Following methods of Hayes, we state a conjectural product formula for ratios of Brumer–Stark units over real quadratic fields.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::061d997f11bd3bd68205c01044be758f
Autor:
Matthew Baker, Brian Conrad, Samit Dasgupta, Kiran S. Kedlaya, Jeremy Teitelbaum, David Savitt, Dinesh S. Thakur
In recent decades, $p$-adic geometry and $p$-adic cohomology theories have become indispensable tools in number theory, algebraic geometry, and the theory of automorphic representations. The Arizona Winter School 2007, on which the current book is ba