Vlad Serban
Vlad Serban
We investigate generalizations along the lines of the Mordell-Lang conjecture of the author's p-adic formal Manin-Mumford results for n-dimensional p-divisible formal groups F . In particular, given a finitely generated subgroup Γ of F...
Cameron Franc,Geoffrey Mason
Cameron Franc
We postulate axioms for a chiral half of a nonarchimedean 2-dimensional bosonic conformal field theory, that is, a vertex operator algebra in which a p-adic Banach space replaces the traditional Hilbert space. We study some consequences of ...
Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang [0.03%]
过分割函数对数的高阶差分的不等式及Wang-Xie-Zhang问题
Gargi Mukherjee
Gargi Mukherjee
Let p ¯ ( n ) denote the overpartition function. In this paper, our primary goal is to study the asymptotic behavior of the finite differences of the logarithm of the overpartition function, i.e., ( - 1 ) r - 1 Δ r log p ...
Harald Andrés Helfgott,Lola Thompson
Harald Andrés Helfgott
We present a new elementary algorithm that takes time O ϵ x 3 5 ( log x ) 8 5 + ϵ and space O x 3 10 ( log x ) 13 10 (measured bitwise) for computing M ( x ) = ∑ n ≤ x μ ( n ) , where μ ( n...
Sudhir Pujahari,Neelam Saikia
Sudhir Pujahari
Recently Ono, Saad and the second author [21] initiated a study of value distribution of certain families of Gaussian hypergeometric functions over large finite fields. They investigated two families of Gaussian hypergeometric functions and...
Definite orthogonal modular forms: computations, excursions, and discoveries [0.03%]
确定性的正交模形式：计算、漫游和发现
Eran Assaf,Dan Fretwell,Colin Ingalls et al.
Eran Assaf et al.
We consider spaces of modular forms attached to definite orthogonal groups of low even rank and nontrivial level, equipped with Hecke operators defined by Kneser neighbours. After reviewing algorithms to compute with these spaces, we invest...
On the Mordell-Weil lattice of [Formula: see text] in characteristic 3 [0.03%]
特征为3时Mordell-Weil晶格上的[formula: see text]
Gauthier Leterrier
Gauthier Leterrier
We study the elliptic curves given by y 2 = x 3 + b x + t 3 n + 1 over global function fields of characteristic 3 ; in particular we perform an explicit computation of the L-function by relating it to the zeta function of a certain supe...
A Density of Ramified Primes [0.03%]
分歧素数的密度
Stephanie Chan,Christine McMeekin,Djordjo Milovic
Stephanie Chan
Let K be a cyclic number field of odd degree over Q with odd narrow class number, such that 2 is inert in K / Q . We define a family of number fields { K ( p ) } p , depending on K and indexed by the rational primes p that split complete...
Irreducibility of limits of Galois representations of Saito-Kurokawa type [0.03%]
塞托- kurakawa类型的伽罗瓦表示的极限的不可约性
Tobias Berger,Krzysztof Klosin
Tobias Berger
We prove (under certain assumptions) the irreducibility of the limit σ 2 of a sequence of irreducible essentially self-dual Galois representations σ k : G Q → GL 4 ( Q ¯ p ) (as k approaches 2 in a p-adic sense) w...
Gabriel A Dill
Gabriel A Dill
We count algebraic numbers of fixed degree d and fixed (absolute multiplicative Weil) height H with precisely k conjugates that lie inside the open unit disk. We also count the number of values up to H that the height assumes on algebraic n...