Arithmetic properties of coefficients of \(L\)-functions of elliptic curves

DOI10.1007/s00605-018-1175-xzbMath1423.11169OpenAlexW2794147470WikidataQ130160623 ScholiaQ130160623MaRDI QIDQ667807

Aynur Yalçiner, Florian Luca, Ahmet M. Güloğlu

Publication date: 1 March 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-018-1175-x

zbMATH Keywords

Chebotarev density theorem$L$-functionsarithmetic functionsEuler's totient functionelliptic pseudoprimesrational elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Curves over finite and local fields (11G20) Applications of sieve methods (11N36)

Related Items (2)

A CONGRUENCE PROPERTY OF FOURIER COEFFICIENTS FOR MODULAR FORMS ⋮ On the prime factors of the iterates of the Ramanujan τ–function

Cites Work

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• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• Quelques applications du théorème de densité de Chebotarev
• On some problems of Mąkowski–Schinzel and Erdős concerning the arithmetical functions φ and σ
• Pseudoprime Reductions of Elliptic Curves
• Elliptic Carmichael numbers and elliptic Korselt criteria
• The Square Sieve and the Lang–Trotter Conjecture
• SOME DIVISIBILITY PROPERTIES OF THE EULER FUNCTION
• Chebyshev's Inequality and Natural Density
• On f(n) modulo Ω(n) and ω(n) when f is a polynomial
• On the Counting Function of Elliptic Carmichael Numbers
• The distribution of integers n divisible by lω(n)
• The Splitting of Primes in Division Fields of Elliptic Curves

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