arXiv:2102.02411v2 [math.NT] 13 May 2021 Page 1 arXiv:2102.02411v2 [math.NT] 13 May
2021 STATISTICS FOR IWASAWA INVARIANTS OF ELLIPTIC CURVES DEBANJANA KUNDU …

Let p be a prime. In this paper, we use techniques from Iwasawa theory to study questions
about rank jump of elliptic curves in cyclic extensions of degree p. We also study growth of …

We consider the proportion of genus one curves over ℚ of the form z 2= f (x, y) where f (x,
y)∈ ℤ [x, y] is a binary quartic form (or more generally of the form z 2+ h (x, y) z= f (x, y) …

We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic
curves, considered over anticyclotomic Z p-extensions in both the definite and indefinite …

Let D be the ring of S-integers in a global field and D^ its profinite completion. Given X⊆ D
n, we consider its closure X^⊆ D^ n and ask what can be learned from X^ about the “size” of …

We report on two machine learning experiments in search of statistical relationships
between Dirichlet coefficients and root numbers or analytic ranks of certain low-degree $ L …

We give asymptotics for the number of isomorphism classes of Drinfeld F q [T]-modules over
F q (T) of a given height, which satisfy prescribed sets of local conditions. This is done by …

We explicitly construct the Dirichlet series where is the proportion of elliptic curves in short
Weierstrass form with Tamagawa product m. Although there are no with everywhere good …

In this paper, under GRH for elliptic curve L-functions, we give an upper bound for the
probability for an elliptic curve with analytic rank≤ a for a≥ 11, and also provide an upper …

For proper stacks, unlike schemes, there is a distinction between rational and integral points;
we show that this distinction exactly accounts for the main term and lower order terms …