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pro vyhledávání: '"Aricheta, Victor Manuel"'
We explore the modularity of the continued fractions $I(\tau), J(\tau), T_1(\tau), T_2(\tau)$ and $U(\tau)=I(\tau)/J(\tau)$ of order $10$, where $I(\tau)$ and $J(\tau)$ are introduced by Rajkhowa and Saikia, which are special cases of certain identit
Externí odkaz:
http://arxiv.org/abs/2404.05756
The $(k,i)$-singular overpartitions, combinatorial objects introduced by Andrews in 2015, are known to satisfy Ramanujan-type congruences modulo any power of prime coprime to $6k$. In this paper we consider the parity of the number $\overline{C}_{k,i
Externí odkaz:
http://arxiv.org/abs/2312.01883
Define the minimal excludant of an overpartition $\pi$, denoted $ \overline{\text{mex}}(\pi)$, to be the smallest positive integer that is not a part of the non-overlined parts of $\pi$. For a positive integer $n$, the function $\sigma\overline{\text
Externí odkaz:
http://arxiv.org/abs/2309.04398
Publikováno v:
Ann. Univ. Ferrara 71 (2025), 6
Motivated by the recent work of Park on the analogue of the Ramanujan's function $k(\tau)=r(\tau)r^2(2\tau)$ for the Ramanujan's cubic continued fraction, where $r(\tau)$ is the Rogers-Ramanujan continued fraction, we use the methods of Lee and Park
Externí odkaz:
http://arxiv.org/abs/2306.08782
Publikováno v:
In Journal of Number Theory September 2024 262:354-370
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Autor:
Aricheta, Victor Manuel
Publikováno v:
SIGMA 15 (2019), 007, 17 pages
We generalize a theorem of Ogg on supersingular $j$-invariants to supersingular elliptic curves with level. Ogg observed that the level one case yields a characterization of the primes dividing the order of the monster. We show that the corresponding
Externí odkaz:
http://arxiv.org/abs/1809.07421
Autor:
Aricheta, Victor Manuel, Beneish, Lea
We consider the situation in which a finite group acts on an infinite-dimensional graded module in such a way that the graded trace functions are weakly holomorphic modular forms. Under a mild hypothesis we completely describe the asymptotic module s
Externí odkaz:
http://arxiv.org/abs/1610.01689
Publikováno v:
Annali dell'Universita di Ferrara: Sezione VII-Scienze Mathematiche; Mar2025, Vol. 71 Issue 1, p1-18, 18p
Autor:
Aricheta, Victor Manuel, Beneish, Lea
Publikováno v:
In Journal of Algebra 15 October 2019 536:215-228