Anwesh Ray

activity

20182026

most citedStatistics for Iwasawa invariants of elliptic curves

21 citations · 83 across the 51 of their papers we have counts for

collaborators

Showing 2023Show all

10 papers · 1 filter

math.NT2023

Upper bounds for the number of number fields with prescribed Galois group

Hrishabh Mishra, Anwesh Ray

Let $n$ be a positive integer and $G$ be a transitive permutation subgroup of $S_{n}$ . Given a number field $K$ with $[K : Q] = n$ , we let $K$ be its Galois closure…

math.NT2023

Asymptotic growth patterns for class field towers

Arindam Bhattacharyya, Vishnu Kadiri, Anwesh Ray

Let $p$ be an odd prime number. We study growth patterns associated with finitely ramified Galois groups considered over the various number fields varying in a $Z_{p}$ -tower…

math.NT2023

On the Iwasawa invariants of Artin representations

Aditya Karnataki, Anwesh Ray

We study Iwasawa invariants associated to Selmer groups of Artin representations, and criteria for the vanishing of the associated algebraic Iwasawa invariants. The conditions obta…

math.NT2023

Remarks on Greenberg's conjecture for Galois representations associated to elliptic curves

Anwesh Ray

Let $E_{/ Q}$ be an elliptic curve and $p$ be an odd prime number at which $E$ has good ordinary reduction. Let $S e l_{p^{\infty}} (Q_{\infty}, E)$ denote the $p$ -primar…

math.NT2023

Counting number fields whose Galois group is a wreath product of symmetric groups

Hrishabh Mishra, Anwesh Ray

Let $K$ be a number field and $k \geq 2$ be an integer. Let $(n_{1}, n_{2}, \dots, n_{k})$ be a vector with entries $n_{i} \in Z_{\geq 2}$ . Given a number field extension $L / K$ , we d…

math.NT2023

Lower bounds for the number of number fields with Galois group $G L_{2} (F_{ℓ})$

Anwesh Ray

Let $ℓ \geq 5$ be a prime number and $F_{ℓ}$ denote the finite field with $ℓ$ elements. We show that the number of Galois extensions of the rationals with Galois gro…

math.NT2023

Diophantine stability for elliptic curves on average

Anwesh Ray, Tom Weston

Let $K$ be a number field and $ℓ \geq 5$ a prime number. Mazur and Rubin introduced the notion of diophantine stability for a variety $X_{/ K}$ at a prime $ℓ$ . We show that th…

math.CO2023

On the distribution of eigenvalues in families of Cayley graphs

Matilde Lalin, Anwesh Ray

We consider the family of undirected Cayley graphs associated with odd cyclic groups, and study statistics for the eigenvalues in their spectra. Our results are motivated by analog…

math.NT2023

Constructing Galois representations with prescribed Iwasawa $λ$ -invariant

Anwesh Ray

Let $p \geq 5$ be a prime number. We consider the Iwasawa $λ$ -invariants associated to modular Bloch-Kato Selmer groups, considered over the cyclotomic $Z_{p}$ -extension of $…

math.NT2023★ 1 cited

Hilbert's tenth problem in Anticyclotomic towers of number fields

Anwesh Ray, Tom Weston

Let $K$ be an imaginary quadratic field and $p$ be an odd prime which splits in $K$ . Let $E_{1}$ and $E_{2}$ be elliptic curves over $K$ such that the $G a l (K ˉ / K)$ -modules $E_{1} [p]$ …

Upper bounds for the number of number fields with prescribed Galois group

Asymptotic growth patterns for class field towers

On the Iwasawa invariants of Artin representations

Remarks on Greenberg's conjecture for Galois representations associated to elliptic curves

Counting number fields whose Galois group is a wreath product of symmetric groups

Lower bounds for the number of number fields with Galois group GL2​(Fℓ​)

Diophantine stability for elliptic curves on average

On the distribution of eigenvalues in families of Cayley graphs

Constructing Galois representations with prescribed Iwasawa λ-invariant

Hilbert's tenth problem in Anticyclotomic towers of number fields

Lower bounds for the number of number fields with Galois group $G L_{2} (F_{ℓ})$

Constructing Galois representations with prescribed Iwasawa $λ$ -invariant