Matches in SemOpenAlex for { <https://semopenalex.org/work/W1732985959> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W1732985959 abstract "We examine the behaviour of the zeros of the real and imaginary parts of $xi(s)$ on the vertical line $Re s = 1/2+lambda$, for $lambda neq 0$. This can be rephrased in terms of studying the zeros of families of entire functions $A(s) = {1/2} (xi(s+lambda) + xi(s - lambda))$ and $B(s) = frac{1}{2i} (xi(s+lambda) - xi(s - lambda))$. We will prove some unconditional analogues of results appearing in cite{Lag}, specifically that the normalized spacings of the zeros of these functions converges to a limiting distribution consisting of equal spacings of length 1, in contrast to the expected GUE distribution for the same zeros at $lambda = 0$. We will also show that, outside of a small exceptional set, the zeros of $Re xi(s)$ and $Im xi(s)$ interlace on $Re s = 1/2+lambda$. These results will depend on showing that away from the critical line, $arg xi(s)$ is well behaved." @default.
- W1732985959 created "2016-06-24" @default.
- W1732985959 creator A5014587651 @default.
- W1732985959 date "2009-04-07" @default.
- W1732985959 modified "2023-09-27" @default.
- W1732985959 title "The argument of the Riemann $Xi$-function off the critical line" @default.
- W1732985959 cites W2034345839 @default.
- W1732985959 cites W2057311386 @default.
- W1732985959 cites W2094551170 @default.
- W1732985959 cites W586135738 @default.
- W1732985959 hasPublicationYear "2009" @default.
- W1732985959 type Work @default.
- W1732985959 sameAs 1732985959 @default.
- W1732985959 citedByCount "0" @default.
- W1732985959 crossrefType "posted-content" @default.
- W1732985959 hasAuthorship W1732985959A5014587651 @default.
- W1732985959 hasConcept C110121322 @default.
- W1732985959 hasConcept C111993293 @default.
- W1732985959 hasConcept C114614502 @default.
- W1732985959 hasConcept C121332964 @default.
- W1732985959 hasConcept C127413603 @default.
- W1732985959 hasConcept C134306372 @default.
- W1732985959 hasConcept C14036430 @default.
- W1732985959 hasConcept C188198153 @default.
- W1732985959 hasConcept C198352243 @default.
- W1732985959 hasConcept C199479865 @default.
- W1732985959 hasConcept C202444582 @default.
- W1732985959 hasConcept C2524010 @default.
- W1732985959 hasConcept C2776605787 @default.
- W1732985959 hasConcept C2778113609 @default.
- W1732985959 hasConcept C33923547 @default.
- W1732985959 hasConcept C48902493 @default.
- W1732985959 hasConcept C62520636 @default.
- W1732985959 hasConcept C75432250 @default.
- W1732985959 hasConcept C78458016 @default.
- W1732985959 hasConcept C78519656 @default.
- W1732985959 hasConcept C86803240 @default.
- W1732985959 hasConcept C97355855 @default.
- W1732985959 hasConceptScore W1732985959C110121322 @default.
- W1732985959 hasConceptScore W1732985959C111993293 @default.
- W1732985959 hasConceptScore W1732985959C114614502 @default.
- W1732985959 hasConceptScore W1732985959C121332964 @default.
- W1732985959 hasConceptScore W1732985959C127413603 @default.
- W1732985959 hasConceptScore W1732985959C134306372 @default.
- W1732985959 hasConceptScore W1732985959C14036430 @default.
- W1732985959 hasConceptScore W1732985959C188198153 @default.
- W1732985959 hasConceptScore W1732985959C198352243 @default.
- W1732985959 hasConceptScore W1732985959C199479865 @default.
- W1732985959 hasConceptScore W1732985959C202444582 @default.
- W1732985959 hasConceptScore W1732985959C2524010 @default.
- W1732985959 hasConceptScore W1732985959C2776605787 @default.
- W1732985959 hasConceptScore W1732985959C2778113609 @default.
- W1732985959 hasConceptScore W1732985959C33923547 @default.
- W1732985959 hasConceptScore W1732985959C48902493 @default.
- W1732985959 hasConceptScore W1732985959C62520636 @default.
- W1732985959 hasConceptScore W1732985959C75432250 @default.
- W1732985959 hasConceptScore W1732985959C78458016 @default.
- W1732985959 hasConceptScore W1732985959C78519656 @default.
- W1732985959 hasConceptScore W1732985959C86803240 @default.
- W1732985959 hasConceptScore W1732985959C97355855 @default.
- W1732985959 hasLocation W17329859591 @default.
- W1732985959 hasOpenAccess W1732985959 @default.
- W1732985959 hasPrimaryLocation W17329859591 @default.
- W1732985959 isParatext "false" @default.
- W1732985959 isRetracted "false" @default.
- W1732985959 magId "1732985959" @default.
- W1732985959 workType "article" @default.