Publication
A short note on inadmissible coefficients of weight 2 and 2k+1 newforms
Publications associées (35)
Toroidal families and averages of L-functions, I
We initiate the study of certain families of L-functions attached to characters of subgroups of higher-rank tori, and of their average at the central point. In particular, we evaluate the average of the values L( 2 1 , chi a )L( 21 , chi b ) for arbitrary ...
Polish Acad Sciences Inst Mathematics-Impan2024The unipotent mixing conjecture
We show that shifted pairs of discrete or continuous low-lying horocycles equidistribute in the product space of two modular curves. ...
Jerusalem2023ALGEBRAIC TWISTS OF GL3 x GL2 L-FUNCTIONS
We prove that the coefficients of a GL3 x GL2 Rankin-Selberg L-function do not correlate with a wide class of trace functions of small conductor modulo primes, generalizing the corresponding result of Fouvry, Kowalski, and Michel for GL2 and of Kowalski, L ...
Baltimore2023An optimal preconditioned FFT-accelerated finite element solver for homogenization
Till Junge, Ali Falsafi, Martin Ladecký
We generalize and provide a linear algebra-based perspective on a finite element (FE) ho-mogenization scheme, pioneered by Schneider et al. (2017)[1] and Leuschner and Fritzen (2018)[2]. The efficiency of the scheme is based on a preconditioned, well-scale ...
ELSEVIER SCIENCE INC2023Fourier non-uniqueness sets from totally real number fields
Let K be a totally real number field of degree n >= 2. The inverse different of K gives rise to a lattice in Rn. We prove that the space of Schwartz Fourier eigenfunctions on R-n which vanish on the "component-wise square root" of this lattice, is infinite ...
EUROPEAN MATHEMATICAL SOC-EMS2022Fourier uniqueness and interpolation in Euclidean space
We prove that every Schwartz function in Euclidean space can be completely recovered given only its restrictions and the restrictions of its Fourier transform to all origin-centered spheres whose radii are square roots of integers. In particular, the only ...
EPFL2022Fourier uniqueness in even dimensions
In recent work, methods from the theory of modular forms were used to obtain Fourier uniqueness results in several key dimensions (d = 1, 8, 24), in which a function could be uniquely reconstructed from the values of it and its Fourier transform on a discr ...
2021Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure
Luis Guillermo Villanueva Torrijo, Seniz Esra Küçük, Soumya Yandrapalli, Victor Plessky
Dispersion of A1 Lamb mode near onset frequency is discussed. This mode is close to that used in XBAR devices. The typically used approximation is based on elliptic form of slowness curve and ignoring mode interaction is not valid for widely used materials ...
IEEE2021The fourth moment of individual Dirichlet L-functions on the critical line
We prove an asymptotic formula for the second moment of a product of two Dirichlet L-functions on the critical line, which has a power saving in the error term and which is uniform with respect to the involved Dirichlet characters. As special cases we give ...
2020Fourier interpolation on the real line
In this paper we construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set {0,+/- 1,+/- ...
2019