Results 61 to 70 of about 2,222 (176)
Coefficients of symmetric power L-functions on integers under digital constraints
Notes on Number Theory and Discrete MathematicsLet $\lambda_{{\rm sym}^{r}f}(n)$ be the n-th coefficient in the Dirichlet series representing the symmetric power L-function attached to a primitive form f of weight k and level N.
Khadija Mbarki
semanticscholar +1 more source
Curvelets, Wave Atoms, and Wave Equations [PDF]
, 2006 We argue that two specific wave packet families---curvelets and wave atoms---provide powerful tools for representing linear systems of hyperbolic differential equations with smooth, time-independent coefficients.
Demanet, Laurent
core +1 more source
On the Exact Limiting Distribution of a Volatility Target Index
Mathematical Finance, EarlyView.ABSTRACT Assuming a lognormal distribution for the underlying risky asset, we study the limiting distribution of a volatility target index as the rebalancing time step approaches zero. Two limit theorems (a strong law of large numbers and a central limit theorem) are established, and as an application, the exact limiting distribution is derived.
Xuan Liu, Michel Gauthier
wiley +1 more source
Recursions for distribution functions and stop-loss transforms. [PDF]
For any functions on the non-negative integers, we can evaluate the cumulative function given by (s) = sx=o(x) from the values of by the recursion (s) = (s - 1) + (s).
Sundt, B, Dhaene, Jan, Willmot, GE
core
Asymptotic equidistribution for partition statistics and topological invariants [PDF]
We provide a general framework for proving asymptotic equidistribution, convexity, and log-concavity of coefficients of generating functions on arithmetic progressions.
Cesana, Giulia +2 more
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
On the arithmetic of crossratios and generalised Mertens' formulas [PDF]
, 2013 44 pagesWe develop the relation between hyperbolic geometry and arithmetic equidistribution problems that arises from the action of arithmetic groups on real hyperbolic spaces, especially in dimension up to 5. We prove generalisations of Mertens' formula
Paulin, Frédéric, Parkkonen, Jouni
core
Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions [PDF]
We show that, in a restricted range, the divisor function of integers in residue classes modulo a prime follows a Gaussian distribution, and a similar result for Hecke eigenvalues of classical holomorphic cusp forms.
Michel, Philippe +3 more
core +1 more source
Trace zero varieties in cryptography : optimal representation and index calculus [PDF]
, 2014 The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
core +1 more source