Results 11 to 20 of about 19,492 (245)

Weyl group multiple Dirichlet series constructed from quadratic characters [PDF]

Inventiones Mathematicae, 2006
We construct multiple Dirichlet series in several complex variables whose coefficients involve quadratic residue symbols. The series are shown to have an analytic continuation and satisfy a certain group of functional equations.
A. Diaconu, B. Brubaker, B. Fisher, B. Fisher, C.L. Siegel, D. Bump, D. Bump, D. Bump, D. Bump, D. Goldfeld, G. Chinta, G. Chinta, Gautam Chinta, K. Soundararajan, Paul E. Gunnells, S. Bochner, S. Friedberg   +16 more
core   +5 more sources

Murmurations of Dirichlet Characters

International Mathematics Research Notices
Abstract We calculate murmuration densities for two families of Dirichlet characters. The first family contains complex Dirichlet characters normalized by their Gauss sums. Integrating the first density over a geometric interval yields a murmuration function compatible with experimental observations.
Lee, Kyu-Hwan, Oliver, Thomas, Pozdnyakov, Alexey   +2 more
openaire   +4 more sources

PERIODIC TWISTS OF $\operatorname{GL}_{3}$-AUTOMORPHIC FORMS

Forum of Mathematics, Sigma, 2020
We prove that sums of length about $q^{3/2}$ of Hecke eigenvalues of automorphic forms on $\operatorname{SL}_{3}(\mathbf{Z})$ do not correlate with $q$-periodic functions with bounded Fourier transform.
EMMANUEL KOWALSKI, YONGXIAO LIN, PHILIPPE MICHEL, WILL SAWIN   +3 more
doaj   +1 more source

Intelligent radar software defect classification approach based on the latent Dirichlet allocation topic model

EURASIP Journal on Advances in Signal Processing, 2021
Existing software intelligent defect classification approaches do not consider radar characters and prior statistics information. Thus, when applying these appaoraches into radar software testing and validation, the precision rate and recall rate of ...
Xi Liu, Yongfeng Yin, Haifeng Li, Jiabin Chen, Chang Liu, Shengli Wang, Rui Yin   +6 more
doaj   +1 more source

Comparing human coding to two natural language processing algorithms in aspirations of people affected by Duchenne Muscular Dystrophy

Journal of Methods and Measurement in the Social Sciences, 2022
Qualitative methods can enhance our understanding of constructs that have not been well portrayed and enable nuanced depiction of experience from study participants who have not been broadly studied.
Carolyn Emily Schwartz
doaj   +2 more sources

Integer factoring and compositeness witnesses

Journal of Mathematical Cryptology, 2020
We describe a reduction of the problem of factorization of integers n ≤ x in polynomial-time (log x)M+O(1) to computing Euler’s totient function, with exceptions of at most xO(1/M) composite integers that cannot be factored at all, and at most x exp −cM ...
Pomykała Jacek, Radziejewski Maciej
doaj   +1 more source

Central values of derivatives of Dirichlet L-functions [PDF]

, 2009
Let C(q,+) be the set of even, primitive Dirichlet characters (mod q). Using the mollifier method we show that L^{(k)}(1/2,chi) is not equal to zero for almost all the characters chi in C(q,+) when k and q are large.
Bui, H. M., Milinovich, M. B.
core   +1 more source

Double Dirichlet series and quantum unique ergodicity of weight 1/2 Eisenstein series [PDF]

, 2014
The problem of quantum unique ergodicity (QUE) of weight 1/2 Eisenstein series for {\Gamma}_0(4) leads to the study of certain double Dirichlet series involving GL2 automorphic forms and Dirichlet characters.
Bailey, Heath-Brown, Iwaniec, Iwaniec, Luo, Morten Risager, Nicole Raulf, Shnirelman, Yiannis Petridis, Zagier   +9 more
core   +2 more sources

Real zeros of quadratic Dirichlet L-functions [PDF]

, 2001
We show that for a positive proportion of real primitive Dirichlet characters chi, the associated Dirichlet L-function L(s,chi) has no zeros on the positive real axis.
Conrey, J. Brian, Soundararajan, Kannan
core   +2 more sources

Joint universality of Dirichlet L-functions and periodic Hurwitz zeta-functions

Mathematical Modelling and Analysis, 2012
In the paper, we prove that every system of analytic functions can be approximated simultaneously uniformly on compact subsets of some region by a collection consisting of shifts of Dirichlet L-functions with pairwise non-equivalent characters and ...
Kęstutis Janulis, Antanas Laurinčikas, Renata Macaitienė, Darius Šiaučiūnas   +3 more
doaj   +1 more source