Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Eknath Ghate"'
Autor:
Eknath Ghate, Mihir Sheth
Publikováno v:
Comptes Rendus. Mathématique. 358:627-632
Autor:
Eknath Ghate, Mihir Sheth
Publikováno v:
Infosys Science Foundation Series ISBN: 9789811671203
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eab9219c9884ed92c82077f10d3da857
https://doi.org/10.1007/978-981-16-7121-0_3
https://doi.org/10.1007/978-981-16-7121-0_3
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811587184
We establish a rationality result for the twisted Asai L-values attached to a Bianchi cusp form and construct distributions interpolating these L-values. Using the method of abstract Kummer congruences, we then outline the main steps needed to show t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59f311023370a5317425d19a5f994b42
https://doi.org/10.1007/978-981-15-8719-1_3
https://doi.org/10.1007/978-981-15-8719-1_3
Autor:
Eknath Ghate, Ravitheja Vangala
Let $p$ be a prime. We study the structure of and the inclusion relations among the terms in the monomial lattice in the modular symmetric power representations of $\mathrm{GL}_2(\mathbb{F}_p)$. We also determine the structure of certain related quot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d27dc765c9112e9a75a6cd24f7ff5b1a
Publikováno v:
Journal of Algebra
Journal of Algebra, In press, 508, pp.98--156. ⟨10.1016/j.jalgebra.2018.04.023⟩
Journal of Algebra, Elsevier, In press, 508, pp.98--156. ⟨10.1016/j.jalgebra.2018.04.023⟩
Journal of Algebra, In press, 508, pp.98--156. ⟨10.1016/j.jalgebra.2018.04.023⟩
Journal of Algebra, Elsevier, In press, 508, pp.98--156. ⟨10.1016/j.jalgebra.2018.04.023⟩
We compute the reductions of irreducible crystalline two-dimensional representations of $G_{\mathbf{Q}_p}$ of slope 1, for primes $p \geq 5$, and all weights. We describe the semisimplification of the reductions completely. In particular, we show tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::891372e775006645b76353de8b5c56c0
https://hal.science/hal-01402388
https://hal.science/hal-01402388
Autor:
Eknath Ghate, Shalini Bhattacharya
Publikováno v:
Proceedings of the American Mathematical Society. 143:4669-4684
The endomorphism algebra X f X_f attached to a non-CM primitive cusp form f f of weight at least two is a 2-torsion element in the Brauer group of a number field F F . We give formulas for the ramification of X f X_f locally at primes lying above the
Autor:
Eknath Ghate, Abhik Ganguli
Publikováno v:
Journal of Number Theory. 147:250-286
We describe the semisimplification of the mod p reduction of certain crystalline two dimensional local Galois representations of weights bounded by p 2 − p and slopes in ( 1 , 2 ) . This builds on previous results, for weights bounded by 2 p + 1 ,
Publikováno v:
Manuscripta Mathematica. 142:513-524
Let F be a totally real field and p be an odd prime which splits completely in F. We show that a generic p-ordinary non-CM primitive Hilbert modular cuspidal eigenform over F of parallel weight two or more must have a locally non-split p-adic Galois
Autor:
Eknath Ghate, T. N. Venkataramana
We solve an elementary number theory problem on sums of fractional parts, using methods from group theory. We apply our result to deduce the finiteness of certain monodromy representations.
Comment: 23 pages
Comment: 23 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7341e23a925918c54e7162d74684935
Autor:
Eknath Ghate, Debargha Banerjee
Publikováno v:
Israel Journal of Mathematics. 195:507-543
We prove that the ramification of the endomorphism algebra of the Grothendieck motive attached to a non-CM cuspform of weight two or more is completely determined by the slopes of the adjoint lift of this form, when the slopes are finite. We treat al