Matches in SemOpenAlex for { <https://semopenalex.org/work/W2883670509> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2883670509 abstract "We establish a sub-convexity estimate for Rankin-Selberg $L$-functions in the combined level aspect, using the circle method. If $p$ and $q$ are distinct prime numbers, $f$ and $g$ are non-exceptional newforms (modular or Maass) for the congruence subgroups $Gamma_0(p)$ and $Gamma_0(q)$ (resp) with trivial nebentypus, then for all $epsilon >0$ we show that there exists an $A >0$ such that $$ Lleft(frac{1}{2}+it, f times g right) ll_{epsilon,mu_f, mu_g}(1+|t|)^A frac{(pq)^{1/2+epsilon}}{max{p,q }^{frac{1}{64}}}. $$ The dependence on $mu_f$ and $mu_g$, the parameters at infinity for $f$ and $g$ respectively, is polynomial. Further, if $p$ is fixed and $q rightarrow infty$, we improve this to $$ Lleft(frac{1}{2}+it, f times g right) ll_{epsilon,mu_f,mu_g}(p(1+|t|))^Aq^{frac{1}{2}-frac{1-2theta}{27+28theta}+epsilon} , $$ where $theta$ is the exponent towards Ramanujan-conjecture for cuspidal automorphic forms. Unconditionally, we can take $theta = 7/64$. This improves all previously known sub-convexity estimates in this case." @default.
- W2883670509 created "2018-08-03" @default.
- W2883670509 creator A5028829044 @default.
- W2883670509 date "2018-07-29" @default.
- W2883670509 modified "2023-09-27" @default.
- W2883670509 title "Sub-convexity problem for Rankin-Selberg $L$-functions" @default.
- W2883670509 cites W1528690281 @default.
- W2883670509 cites W1582919573 @default.
- W2883670509 cites W1782381172 @default.
- W2883670509 cites W1980733685 @default.
- W2883670509 cites W1983755518 @default.
- W2883670509 cites W1985468289 @default.
- W2883670509 cites W2017195856 @default.
- W2883670509 cites W2030914290 @default.
- W2883670509 cites W2058429745 @default.
- W2883670509 cites W2097296809 @default.
- W2883670509 cites W2109378982 @default.
- W2883670509 cites W2121902984 @default.
- W2883670509 cites W2570402667 @default.
- W2883670509 cites W2786629928 @default.
- W2883670509 cites W2898919954 @default.
- W2883670509 cites W831070693 @default.
- W2883670509 hasPublicationYear "2018" @default.
- W2883670509 type Work @default.
- W2883670509 sameAs 2883670509 @default.
- W2883670509 citedByCount "0" @default.
- W2883670509 crossrefType "posted-content" @default.
- W2883670509 hasAuthorship W2883670509A5028829044 @default.
- W2883670509 hasConcept C106159729 @default.
- W2883670509 hasConcept C114614502 @default.
- W2883670509 hasConcept C131220774 @default.
- W2883670509 hasConcept C138885662 @default.
- W2883670509 hasConcept C162324750 @default.
- W2883670509 hasConcept C2780388253 @default.
- W2883670509 hasConcept C2780990831 @default.
- W2883670509 hasConcept C33923547 @default.
- W2883670509 hasConcept C41895202 @default.
- W2883670509 hasConcept C72134830 @default.
- W2883670509 hasConceptScore W2883670509C106159729 @default.
- W2883670509 hasConceptScore W2883670509C114614502 @default.
- W2883670509 hasConceptScore W2883670509C131220774 @default.
- W2883670509 hasConceptScore W2883670509C138885662 @default.
- W2883670509 hasConceptScore W2883670509C162324750 @default.
- W2883670509 hasConceptScore W2883670509C2780388253 @default.
- W2883670509 hasConceptScore W2883670509C2780990831 @default.
- W2883670509 hasConceptScore W2883670509C33923547 @default.
- W2883670509 hasConceptScore W2883670509C41895202 @default.
- W2883670509 hasConceptScore W2883670509C72134830 @default.
- W2883670509 hasLocation W28836705091 @default.
- W2883670509 hasOpenAccess W2883670509 @default.
- W2883670509 hasPrimaryLocation W28836705091 @default.
- W2883670509 hasRelatedWork W116873193 @default.
- W2883670509 hasRelatedWork W2006285123 @default.
- W2883670509 hasRelatedWork W2061575847 @default.
- W2883670509 hasRelatedWork W2144708940 @default.
- W2883670509 hasRelatedWork W2268897100 @default.
- W2883670509 hasRelatedWork W2522815871 @default.
- W2883670509 hasRelatedWork W2539753286 @default.
- W2883670509 hasRelatedWork W2785875051 @default.
- W2883670509 hasRelatedWork W2922471995 @default.
- W2883670509 hasRelatedWork W2946045771 @default.
- W2883670509 hasRelatedWork W2950441442 @default.
- W2883670509 hasRelatedWork W3003514713 @default.
- W2883670509 hasRelatedWork W3028757326 @default.
- W2883670509 hasRelatedWork W3031844788 @default.
- W2883670509 hasRelatedWork W3034536551 @default.
- W2883670509 hasRelatedWork W3136296036 @default.
- W2883670509 hasRelatedWork W3165257664 @default.
- W2883670509 hasRelatedWork W3204435240 @default.
- W2883670509 hasRelatedWork W3206815306 @default.
- W2883670509 hasRelatedWork W86474181 @default.
- W2883670509 isParatext "false" @default.
- W2883670509 isRetracted "false" @default.
- W2883670509 magId "2883670509" @default.
- W2883670509 workType "article" @default.