Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297395162> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W4297395162 abstract "Following Lang and Trotter we describe a probabilistic model that predicts the distribution of primes $p$ with given Frobenius traces at $p$ for two fixed elliptic curves over $mathbb{Q}$. In addition, we propose explicit Euler product representations for the constant in the predicted asymptotic formula and describe in detail the universal component of this constant. A new feature is that in some cases the $ell$-adic limits determining the $ell$-factors of the universal constant, unlike the Lang-Trotter conjecture for a single elliptic curve, do not stabilize. We also prove the conjecture on average over a family of elliptic curves following the work of David, Koukoulopoulos, and Smith." @default.
- W4297395162 created "2022-09-28" @default.
- W4297395162 creator A5049699128 @default.
- W4297395162 creator A5080967763 @default.
- W4297395162 date "2017-10-31" @default.
- W4297395162 modified "2023-09-23" @default.
- W4297395162 title "On the Lang-Trotter conjecture for two elliptic curves" @default.
- W4297395162 doi "https://doi.org/10.48550/arxiv.1711.00176" @default.
- W4297395162 hasPublicationYear "2017" @default.
- W4297395162 type Work @default.
- W4297395162 citedByCount "0" @default.
- W4297395162 crossrefType "posted-content" @default.
- W4297395162 hasAuthorship W4297395162A5049699128 @default.
- W4297395162 hasAuthorship W4297395162A5080967763 @default.
- W4297395162 hasBestOaLocation W42973951621 @default.
- W4297395162 hasConcept C110121322 @default.
- W4297395162 hasConcept C114614502 @default.
- W4297395162 hasConcept C134306372 @default.
- W4297395162 hasConcept C179603306 @default.
- W4297395162 hasConcept C197875053 @default.
- W4297395162 hasConcept C199360897 @default.
- W4297395162 hasConcept C202444582 @default.
- W4297395162 hasConcept C2524010 @default.
- W4297395162 hasConcept C2777027219 @default.
- W4297395162 hasConcept C2780990831 @default.
- W4297395162 hasConcept C33923547 @default.
- W4297395162 hasConcept C41008148 @default.
- W4297395162 hasConcept C62884695 @default.
- W4297395162 hasConcept C73683783 @default.
- W4297395162 hasConcept C90673727 @default.
- W4297395162 hasConceptScore W4297395162C110121322 @default.
- W4297395162 hasConceptScore W4297395162C114614502 @default.
- W4297395162 hasConceptScore W4297395162C134306372 @default.
- W4297395162 hasConceptScore W4297395162C179603306 @default.
- W4297395162 hasConceptScore W4297395162C197875053 @default.
- W4297395162 hasConceptScore W4297395162C199360897 @default.
- W4297395162 hasConceptScore W4297395162C202444582 @default.
- W4297395162 hasConceptScore W4297395162C2524010 @default.
- W4297395162 hasConceptScore W4297395162C2777027219 @default.
- W4297395162 hasConceptScore W4297395162C2780990831 @default.
- W4297395162 hasConceptScore W4297395162C33923547 @default.
- W4297395162 hasConceptScore W4297395162C41008148 @default.
- W4297395162 hasConceptScore W4297395162C62884695 @default.
- W4297395162 hasConceptScore W4297395162C73683783 @default.
- W4297395162 hasConceptScore W4297395162C90673727 @default.
- W4297395162 hasLocation W42973951621 @default.
- W4297395162 hasOpenAccess W4297395162 @default.
- W4297395162 hasPrimaryLocation W42973951621 @default.
- W4297395162 hasRelatedWork W133109515 @default.
- W4297395162 hasRelatedWork W2069135035 @default.
- W4297395162 hasRelatedWork W2075819216 @default.
- W4297395162 hasRelatedWork W2104578855 @default.
- W4297395162 hasRelatedWork W2765799420 @default.
- W4297395162 hasRelatedWork W2952252232 @default.
- W4297395162 hasRelatedWork W2964292522 @default.
- W4297395162 hasRelatedWork W3026358768 @default.
- W4297395162 hasRelatedWork W4221167579 @default.
- W4297395162 hasRelatedWork W4311429764 @default.
- W4297395162 isParatext "false" @default.
- W4297395162 isRetracted "false" @default.
- W4297395162 workType "article" @default.