Cyclicity and exponents of CM elliptic curves modulo $p$ in short intervals

DOI10.1090/tran/8197zbMath1465.11148OpenAlexW3027762762MaRDI QIDQ5147437

Publication date: 26 January 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/8197

zbMATH Keywords

CM elliptic curves cyclicity problem Bombieri-Vinogradov theorem in short intervals exponents of elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Applications of sieve methods (11N36) Density theorems (11R45) Distribution of prime ideals (11R44)

Cites Work

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Average behaviors of invariant factors in Mordell-Weil groups of CM elliptic curves modulo $p$
Primes in arithmetic progressions to large moduli. II
On Artin's conjecture
Cyclicity of elliptic curves modulo $p$ and elliptic curve analogues of Linnik's problem
Prime divisors of Fourier coefficients of modular forms
Cyclicity and generation of points mod $p$ on elliptic curves
An analogue of the Siegel-Walfisz theorem for the cyclicity of CM elliptic curves mod $p$
Bombieri's theorem in short intervals. II
Primes in arithmetic progressions to large moduli
Über den Tschebotareffschen Dichtigkeitssatz
The average exponent of elliptic curves modulo $p$
On the prime ideal theorem
Topics in multiplicative number theory
A Bombieri-Vinogradov theorem for all number fields
Localised Bombieri–Vinogradov theorems in imaginary quadratic fields
On the Average Exponent of Elliptic Curves Modulo p
A generalization of Bombieri's prime number theorem to algebraic number fields
An effective order of Hecke-Landau zeta functions near the line σ=1, II (some applications)
Primes in Arithmetic Progressions to Large Moduli. III
Über Nullstellen der Heckeschen Zetafunktionen in algebraischen Zahlkörpern
Mean Value Theorems in Prime Number Theory
Bombieri's theorem in short intervals
On the density of the zeros of the Dedekind Zeta-function
Primitive points on elliptic curves
Mean values of Hecke L-functions.
Mean-Value Theorems for Primes in Short Intervals
Bombieri's theorem in short intervals
On a Theorem of Hardy and Ramanujan
Cyclicity of CM elliptic curves modulo 𝑝
A variant of the Bombieri–Vinogradov theorem in short intervals and some questions of Serre
Теорема о нулях дзета-функции Дедекинда и расстояние между "соседними" простыми идеалами
Bombieri's mean value theorem
A statistical density theorem for L-functions with applications
The large sieve in algebraic number fields
The Large Sieve Inequality for Algebraic Number Fields Iii. Zero-Density Results
Prime Divisors of the Number of Rational Points on Elliptic Curves with Complex Multiplication
Class field theory
On the difference between consecutive primes
The Chebotarev density theorem in short intervals and some questions of Serre

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