A Titchmarsh divisor problem for elliptic curves

DOI10.1017/S0305004115000614zbMath1371.11103MaRDI QIDQ5360366

Paul Pollack

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Elliptic curves (14H52) Complex multiplication and moduli of abelian varieties (11G15) Global ground fields in algebraic geometry (14G25)

Related Items (8)

A remark on divisor-weighted sums ⋮ Extremal primes for elliptic curves with complex multiplication ⋮ Two generalisations of the Titchmarsh divisor problem ⋮ Orders of reductions of elliptic curves with many and few prime factors ⋮ Non-CM elliptic curves with infinitely many almost prime Frobenius traces ⋮ Frobenius distributions in short intervals for CM elliptic curves ⋮ Primes, elliptic curves and cyclic groups ⋮ Constants in Titchmarsh divisor problems for elliptic curves

Cites Work

• Divisor weighted sums
• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• Factoring integers with elliptic curves
• On Siegel zeros of Hecke-Landau zeta-functions
• Almost all reductions modulo \(p\) of an elliptic curve have a large exponent.
• The distribution of the number of points modulo an integer on elliptic curves over finite fields
• On a claim of Ramanujan in his first letter to Hardy
• The distribution of group structures on elliptic curves over finite prime fields
• Divisors of Fourier coefficients of modular forms
• Galois properties of points of finite order of elliptic curves
• Pseudoprime Reductions of Elliptic Curves
• Almost prime values of the order of elliptic curves over finite fields
• A GEOMETRIC VARIANT OF TITCHMARSH DIVISOR PROBLEM
• Almost Prime Orders of CM Elliptic Curves Modulo p
• A Brun-Titschmarsh theorem for multiplicative functions.
• TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE)
• On invariants of elliptic curves on average
• Reductions of an elliptic curve with almost prime orders
• The Large Sieve Inequality for Algebraic Number Fields Iii. Zero-Density Results
• On the Mean Value of f (p )
• Multiplikative Funktionen auf schnell wachsenden Folgen.
• On the Sum ∑k=1xd(f(k))
• Class field theory
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