15 citations · 51 across the 13 of their papers we have counts for
14 papers
On the signed Selmer groups for motives at non-ordinary primes in -extensions
Jishnu Ray, Florian Sprung
Generalizing the work of Kobayashi and the second author for elliptic curves with supersingular reduction at the prime , Büyükboduk and Lei constructed multi-signed Selmer group…
La matrice de logarithme en termes de chiffres -adiques (The logarithm matrix in terms of -adic digits)
Florian Sprung
Nous donnons une nouvelle description de la matrice de logarithme d'une forme modulaire en termes de distributions, généralisant le travail de Dion et Lei pour le cas . Ce q…
Studying Hilbert's 10th problem via explicit elliptic curves
Debanjana Kundu, Antonio Lei, Florian Sprung
N.García-Fritz and H.Pasten showed that Hilbert's 10th problem is unsolvable in the ring of integers of number fields of the form for positive p…
On characteristic power series of dual signed Selmer groups
Jishnu Ray, Florian Sprung
We relate the cardinality of the -primary part of the Bloch-Kato Selmer group over attached to a modular form at a non-ordinary prime to the constant term of th…
Ranks of elliptic curves over Z_p^2-extensions
Antonio Lei, Florian Sprung
Let be an elliptic curve with good reduction at a fixed odd prime and an imaginary quadratic field where splits. We give a growth estimate for the Mordell-Weil rank…
On the Iwasawa main conjectures for modular forms at non-ordinary primes
Francesc Castella, Mirela Çiperiani, Christopher Skinner +1
In this paper, we prove under mild hypotheses the Iwasawa main conjectures of Lei--Loeffler--Zerbes for modular forms of weight at non-ordinary primes. Our proof is based on th…
The Iwasawa Main Conjecture for elliptic curves at odd supersingular primes
Florian Sprung
In this paper, we prove the Iwasawa main conjecture for elliptic curves at an odd supersingular prime p. Some consequences are the p-parts of the leading term formulas in the Birch…
Zeta-polynomials for modular form periods
Ken Ono, Larry Rolen, Florian Sprung
Answering problems of Manin, we use the critical -values of even weight newforms to define zeta-polynomials which satisfy the functional eq…
On pairs of p-adic L-functions for weight two modular forms
Florian Sprung
The point of this paper is to give an explicit p-adic analytic construction of two Iwasawa functions L_p^\sharp(f,T) and L_p^\flat(f,T) for a weight two modular form \sum a_n q^n a…
A formulation for p-adic versions of the Birch and Swinnerton-Dyer conjectures in the supersingular case
Florian Sprung
Given an elliptic curve E and a prime p of (good) supersingular reduction, we formulate p-adic analogues of the Birch and Swinnerton-Dyer conjecture using a pair of Iwasawa functio…
On pairs of p-adic analogues of the conjectures of Birch and Swinnerton-Dyer
Florian Sprung
For a weight two modular form and a good prime , we construct a vector of Iwasawa functions . In the elliptic curve case, we use this vector to put the $…
Elliptic Curves with Supersingular Reduction over -extensions
Igor Minevich, Florian Sprung
This is a translation of a research announcement by Anas G. Nasybullin from 1976, in which he states formulas for the p-primary part of the Tate-Shafarevich group of an elliptic cu…
The Shafarevich-Tate group in cyclotomic Z_p-extensions at supersingular primes
Florian Sprung
We study the asymptotic growth of the p-primary component of the Shafarevich-Tate group in the cyclotomic direction at any odd prime of good supersingular reduction, generalizing w…
Iwasawa theory for elliptic curves at supersingular primes: A pair of main conjectures
Florian "Ian" Sprung
We extend Kobayashi's formulation of Iwasawa theory for elliptic curves at supersingular primes to include the case , where is the trace of Frobenius. To do this,…