Zobrazeno 1 - 10
of 8 328
pro vyhledávání: '"Bringmann, A."'
In this paper we strongly improve asymptotics for $s_1(n)$ (respectively $s_2(n)$) which sums reciprocals (respectively squares of reciprocals) of parts throughout all the partitions of $n$ into distinct parts. The methods required are much more invo
Externí odkaz:
http://arxiv.org/abs/2412.02534
In this paper, we study vanishing of Fourier coefficients of holomorphic $\eta$-quotients. We investigate examples of two different types: the first one involves integral weight CM newforms, while the second one involves half-integral weight $\eta$-q
Externí odkaz:
http://arxiv.org/abs/2411.05941
Dark matter is a fundamental constituent of the universe, which is needed to explain a wide variety of astrophysical and cosmological observations. Although the existence of dark matter was first postulated nearly a century ago and its abundance is p
Externí odkaz:
http://arxiv.org/abs/2411.05062
Bellman's algorithm for Subset Sum is one of the earliest and simplest examples of dynamic programming, dating back to 1957. For a given set of $n$ integers $X$ and a target $t$, it computes the set of subset sums $\mathcal S(X, t)$ (i.e., the set of
Externí odkaz:
http://arxiv.org/abs/2410.21942
Autor:
Bringmann, Bjoern, Cao, Sky
We prove the global well-posedness of the dynamical sine-Gordon model up to the third threshold, i.e., for parameters $\beta^2 < 6\pi$. The key novelty in our approach is the introduction of the so-called resonant equation, whose solution is entirely
Externí odkaz:
http://arxiv.org/abs/2410.15493
In this paper we study sign changes of an infinite class of $\eta$-quotients which are holomorphic modular forms. There is also a relation to Hurwitz class numbers.
Externí odkaz:
http://arxiv.org/abs/2410.11318
Anonymization plays a key role in protecting sensible information of individuals in real world datasets. Self-driving cars for example need high resolution facial features to track people and their viewing direction to predict future behaviour and re
Externí odkaz:
http://arxiv.org/abs/2410.08551
Recently, Amderberhan, Griffin, Ono, and Singh started the study of "traces of partition Eisenstein series" and used it to give explicit formulas for many interesting functions. In this note we determine the precise spaces in which they lie, find mod
Externí odkaz:
http://arxiv.org/abs/2410.04892
Union volume estimation is a classical algorithmic problem. Given a family of objects $O_1,\ldots,O_n \subseteq \mathbb{R}^d$, we want to approximate the volume of their union. In the special case where all objects are boxes (also known as hyperrecta
Externí odkaz:
http://arxiv.org/abs/2410.00996
Andrews-Dyson-Hickerson, Cohen build a striking relation between q-hypergeometric series, real quadratic fields, and Maass forms. Thanks to the works of Lewis-Zagier and Zwegers we have a complete understanding on the part of these relations pertaini
Externí odkaz:
http://arxiv.org/abs/2409.17818