Results 31 to 40 of about 596 (185)
Solving the n $n$‐Player Tullock Contest
ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley +1 more source
Estimates and properties of certain q-Mellin transform on generalized q-calculus theory
This paper deals with the generalized q-theory of the q-Mellin transform and its certain properties in a set of q-generalized functions. Some related q-equivalence relations, q-quotients of sequences, q-convergence definitions, and q-delta sequences are ...
Shrideh Al-Omari
doaj +1 more source
A fractional residue theorem and its applications in calculating real integrals
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
Mellin Transform of Dirichlet L-Functions with Primitive Character
In the paper, meromorphic continuation for the modified Mellin transform of Dirichlet L-functions with primitive character is obtained.
Aidas Balčiūnas, Darius Šiaučiūnas
doaj +1 more source
Non-abelian Mellin transformations and applications
Abstract We study non-abelian versions of the Mellin transformations, originally introduced by Gabber-Loeser on complex affine tori. Our main result is a generalisation to the non-abelian context and with arbitrary coefficients of the t-exactness of Gabber-Loeser’s Mellin transformation.
Yongqiang Liu +2 more
openaire +3 more sources
Distribution of integer points on determinant surfaces and a mod‐p analogue
Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
wiley +1 more source
Tree-level gluon amplitudes on the celestial sphere
Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes.
Anders Ø. Schreiber +2 more
doaj +1 more source
Jumping hedges on the strength of the Mellin transform
With more looming uncertainties in our present financial climate and environment, models with jump–diffusion more than ever are necessary. They are suited to reproduce the large and sudden fluctuations in the level of the underlying variable, and mimic ...
M. Rodrigo, R.S. Mamon
doaj +1 more source
Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre +2 more
wiley +1 more source
Marine Heatwaves, Ocean Warming and Acidification Reshape Reef Fish Gut Microbiomes
ABSTRACT Extreme climatic events and gradual climate change are increasingly anticipated to interact and reshape ecological communities. However, the combined effects of ocean warming, acidification and marine heatwaves on host‐associated microbial communities and their potential role in host adaptation remain poorly understood.
Angus Mitchell +9 more
wiley +1 more source

