Results 21 to 30 of about 62 (62)

2‐adic slopes of Hilbert modular forms over Q(5)

Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 716-729, August 2020., 2020
Abstract We show that for arithmetic weights with a fixed finite‐order character, the slopes of Up for p=2 (which is inert) acting on overconvergent Hilbert modular forms of level U0(4) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.
Christopher Birkbeck
wiley   +1 more source

p‐adic L‐functions on metaplectic groups

Journal of the London Mathematical Society, Volume 102, Issue 1, Page 229-256, August 2020., 2020
Abstract With respect to the analytic‐algebraic dichotomy, the theory of Siegel modular forms of half‐integral weight is lopsided; the analytic theory is strong, whereas the algebraic lags behind. In this paper, we capitalise on this to establish the fundamental object needed for the analytic side of the Iwasawa main conjecture — the p‐adic L‐function ...
Salvatore Mercuri
wiley   +1 more source

Linear correlations of multiplicative functions

Proceedings of the London Mathematical Society, Volume 121, Issue 2, Page 372-425, August 2020., 2020
Abstract We prove a Green–Tao type theorem for multiplicative functions.
Lilian Matthiesen
wiley   +1 more source

A generalization of a theorem of Rodgers and Saxl for simple groups of bounded rank

Bulletin of the London Mathematical Society, Volume 52, Issue 3, Page 464-471, June 2020., 2020
Abstract We prove that if G is a finite simple group of Lie type and S1,⋯,Sk are subsets of G satisfying ∏i=1k|Si|⩾|G|c for some c depending only on the rank of G, then there exist elements g1,⋯,gk such that G=(S1)g1⋯(Sk)gk. This theorem generalizes an earlier theorem of the authors and Short.
N. Gill, L. Pyber, E. Szabó
wiley   +1 more source

Central L‐values of elliptic curves and local polynomials

Proceedings of the London Mathematical Society, Volume 120, Issue 5, Page 742-769, May 2020., 2020
Abstract Here we study the recently introduced notion of a locally harmonic Maass form and its applications to the theory of L‐functions. In particular, we find a criterion for vanishing of certain twisted central L‐values of a family of elliptic curves, whereby vanishing occurs precisely when the values of two finite sums over canonical binary ...
Stephan Ehlen, Pavel Guerzhoy, Ben Kane, Larry Rolen   +3 more
wiley   +1 more source

Geometric side of a local relative trace formula

, 2019
International audienceFollowing a scheme suggested by B. Feigon, we investigate a local relative trace formula in the situation of a reductive p-adic group G relative to a symmetric subgroup H " HpF q where H is split over the local field F of ...
Souaifi, Sofiane, Delorme, Patrick, Harinck, Pascale   +2 more
core   +1 more source

The dual pair $\mathrm {Aut}(C)\times F_{4}$ (p-adic case)

Forum of Mathematics, Sigma
We study the local theta correspondence for dual pairs of the form $\mathrm {Aut}(C)\times F_{4}$ over a p-adic field, where C is a composition algebra of dimension $2$ or $4$ , by restricting the minimal representation of a group of ...
Edmund Karasiewicz, Gordan Savin
doaj   +1 more source

Excursion operators and the stable Bernstein center

Forum of Mathematics, Pi
We prove that the Fargues-Scholze construction of elements in the Bernstein center via excursion operators always yields stable distributions. We also prove a strong quantitative compatibility of the Fargues-Scholze construction with transfer across ...
David Hansen
doaj   +1 more source

Stability in the category of smooth mod-p representations of ${\mathrm {SL}}_2(\mathbb {Q}_p)$

Forum of Mathematics, Sigma
Let $p \geq 5$ be a prime number, and let $G = {\mathrm {SL}}_2(\mathbb {Q}_p)$ . Let $\Xi = {\mathrm {Spec}}(Z)$ denote the spectrum of the centre Z of the pro-p Iwahori–Hecke algebra of G with coefficients in a field k of ...
Konstantin Ardakov, Peter Schneider
doaj   +1 more source

On a variation of the Erdős–Selfridge superelliptic curve

Bulletin of the London Mathematical Society, Volume 51, Issue 4, Page 633-638, August 2019., 2019
Abstract In a recent paper by Das, Laishram and Saradha, it was shown that if there exists a rational solution of yl=(x+1)…(x+i−1)(x+i+1)…(x+k) for i not too close to k/2 and y≠0, then logl<3k. In this paper, we extend the number of terms that can be missing in the equation and remove the condition on i.
Sam Edis
wiley   +1 more source