Results 41 to 50 of about 7,590,271 (296)
Forum of Mathematics, PiWe state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture to the case of some Eisenstein series on unitary groups $U_n\times U_{n+1}$ .
Raphaël Beuzart-Plessis +1 more
doaj +1 more source
Spectral sets in $\mathbb{Z}_{p^2qr}$ tile
Discrete Analysis, 2023 Spectral sets in $\mathbb{Z}_{p^2qr}$ tile, Discrete Analysis 2023:5, 10 pp. Fuglede's conjecture (1974) asserts that a measurable set $E\subset \mathbb R^n$ of positive Lebesgue measure tiles $\mathbb R^n$ by translations if and only if the space $L^2 ...
Gábor Somlai
doaj
THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS
Forum of Mathematics, Pi, 2016 Let $\unicode[STIX]{x1D706}$ denote the Liouville function. The Chowla conjecture, in the two-point correlation case, asserts that
TERENCE TAO
doaj +1 more source
APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM [PDF]
, 2014 We apply multigrade efficient congruencing to estimate Vino- gradov's integral of degree k for moments of order 2s, establishing strongly diagonal behaviour for 1 6 s 6 1 k(k + 1) − 1 k + o(k).
T. Wooley
semanticscholar +1 more source
An Equivariant Main Conjecture in Iwasawa theory and applications
Journal of Algebraic Geometry, 2015 We construct a new class of Iwasawa modules, which are the number field analogues of the p p -adic realizations of the ...
Greither, Cornelius +1 more
openaire +3 more sources
Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture [PDF]
, 2014 : Let $p$ be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for an infinite class of one-dimensional non-abelian $p$-adic Lie extensions.
Henri Johnston, A. Nickel
semanticscholar +1 more source
On the anticyclotomic Iwasawa main conjecture for modular forms [PDF]
Compositio Mathematica, 2013 We generalize the work of Bertolini and Darmon on the anticyclotomic main conjecture for elliptic curves to modular forms of higher weight.
Masataka Chida, Ming-Lun Hsieh
semanticscholar +1 more source
Supersingular main conjectures, Sylvester's conjecture and Goldfeld's conjecture
, 2020 We prove a $p$-converse theorem for elliptic curves $E/\mathbb{Q}$ with complex multiplication by the ring of integers $\mathcal{O}_K$ of an imaginary quadratic field $K$ in which $p$ is ramified. Namely, letting $r_p = \mathrm{corank}_{\mathbb{Z}_p}\mathrm{Sel}_{p^{\infty}}(E/\mathbb{Q})$, we show that $r_p \le 1 \implies \mathrm{rank}_{\mathbb{Z}}E ...
openaire +2 more sources
Laplacian dynamics of convergent and divergent collective behaviors
Journal of Physics: Complexity, 2023 Collective dynamics is ubiquitous in various physical, biological, and social systems, where simple local interactions between individual units lead to complex global patterns.
Yang Tian, Yunhui Xu, Pei Sun
doaj +1 more source
The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields [PDF]
, 2014 We study a geometric analogue of the Iwasawa Main Conjecture for constant ordinary abelian varieties over Z p d ‐extensions of function fields ramifying at a finite set of places.
K. Lai +3 more
semanticscholar +1 more source