t-Aspect subconvexity for GL(2)×GL(2) L-function

Acharya, Ratnadeep; Sharma, Prahlad; Singh, Saurabh Kumar

doi:10.1016/j.jnt.2022.01.011

Cited by 4 publications

(11 citation statements)

References 16 publications

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“…Wind speed by compass direction was influential for two prey taxa, with redbait FO correlating to neutral easterly winds and strong southerly winds, while leatherjacket FO correlated to strong easterly and weak southerly winds. Such mixed responses are difficult to interpret, but easterly winds may bring nutrient-rich sub-Antarctic water into eastern Bass Strait [29], and although little is known of their migrations [73], strong southerly winds could influence the movement of redbait through central Bass Strait. Leatherjackets were consistent in the diet of the Australian fur seal with low deviance explained by the model suggesting it is a reliable food source despite the variable environment.…”

Section: Discussionmentioning

confidence: 99%

“…Juveniles of these taxa can occur in separate areas to adults. For jack mackerel, smaller fish are found inshore and larger fish offshore [73]. Redbait may also school by size with larger fish in deeper water closer to the seafloor (Markina & Boldyrev in [73]).…”

Section: Discussionmentioning

confidence: 99%

“…For jack mackerel, smaller fish are found inshore and larger fish offshore [73]. Redbait may also school by size with larger fish in deeper water closer to the seafloor (Markina & Boldyrev in [73]). Similarly, juvenile pilchards may be found in shallow embayments and semi-protected waters [73].…”

Section: Discussionmentioning

confidence: 99%

“…Redbait may also school by size with larger fish in deeper water closer to the seafloor (Markina & Boldyrev in [73]). Similarly, juvenile pilchards may be found in shallow embayments and semi-protected waters [73]. Perhaps the seals overlap with more juvenile fish during foraging trips.…”

Section: Discussionmentioning

confidence: 99%

“…However, a reduction in trawling activity coincided with notable shifts including the decreased frequency of occurrence of redbait and increased FO in jack mackerel in the Australian fur seal's diet during 2006 (figure 2). These fisheries are considered sustainable with small annual catches in eastern Australia [73]. Future research could include updating regional ecosystem models [77] to include an analysis of the diet of the Australian fur seals and current fisheries take.…”

Section: Discussionmentioning

confidence: 99%

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Environmental correlates of temporal variation in the prey species of Australian fur seals inferred from scat analysis

et al. 2022

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Marine ecosystems in southeastern Australia are responding rapidly to climate change. We monitored the diet of the Australian fur seal ( Arctocephalus pusillus doriferus ), a key marine predator, over 17 years (1998–2014) to examine temporal changes. Frequency of occurrence (FO) of prey was used as a proxy for ecosystem change. Hard part analysis identified 71 prey taxa, with eight dominant taxa in greater than 70% of samples and predominantly included benthic and small pelagic fish. FO changed over time, e.g. redbait ( Emmelichthys nitidus ) reduced after 2005 when jack mackerel ( Trachurus declivis ) increased, and pilchard ( Sardinops sajax ) increased after 2009. Using generalized additive models, correlations between FO and environmental variables were evident at both the local (e.g. wind, sea surface temperature (SST)) and regional (e.g. El Niño–Southern Oscillation Index (SOI), Southern Annular Mode (SAM)) scales, with redbait and pilchard showing the best model fits (greater than 75% deviance explained). Positive SAM was correlated to FO for both species, and wind and season were important for redbait, while SOI and SST were important for pilchard. Both large-scale and regional processes influenced prey taxa in variable ways. We predict that the diverse and adaptable diet of the Australian fur seal will be advantageous in a rapidly changing ecosystem.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Environmental correlates of temporal variation in the prey species of Australian fur seals inferred from scat analysis

et al. 2022

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Analytic twists of GL2×GL2$\rm GL_2\times \rm GL_2$ automorphic forms

Huang

Sun

Zhang

2023

Mathematische Nachrichten

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Let 𝑓 and 𝑔 be holomorphic or Maass cusp forms for SL 2 (ℤ) with normalized Fourier coefficients 𝜆 𝑓 (𝑛) and 𝜆 𝑔 (𝑛), respectively. In this paper, we prove nontrivial estimates for the sumwhere 𝑒(𝑥) = e 2𝜋𝑖𝑥 , 𝑉(𝑥) ∈  ∞ 𝑐 (1, 2), 𝑡 ≥ 1 is a large parameter and 𝜑(𝑥) is some nonlinear real-valued smooth function. Applications of these estimates include a subconvex bound for the Rankin-Selberg 𝐿-function 𝐿(𝑠, 𝑓 ⊗ 𝑔) in the 𝑡-aspect, an improved estimate for a nonlinear exponential twisted sum and the following asymptotic formula for the sum of the Fourier coefficients of certain GL 5

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UNIFORM BOUNDS FOR $\operatorname {GL}(3)\times \operatorname {GL}(2)$ L-FUNCTIONS

Huang

2023

J. Inst. Math. Jussieu

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In this paper, we prove uniform bounds for $\operatorname {GL}(3)\times \operatorname {GL}(2) \ L$ -functions in the $\operatorname {GL}(2)$ spectral aspect and the t aspect by a delta method. More precisely, let $\phi $ be a Hecke–Maass cusp form for $\operatorname {SL}(3,\mathbb {Z})$ and f a Hecke–Maass cusp form for $\operatorname {SL}(2,\mathbb {Z})$ with the spectral parameter $t_f$ . Then for $t\in \mathbb {R}$ and any $\varepsilon>0$ , we have $$\begin{align*}L(1/2+it,\phi\times f) \ll_{\phi,\varepsilon} (t_f+|t|)^{27/20+\varepsilon}. \end{align*}$$ Moreover, we get subconvexity bounds for $L(1/2+it,\phi \times f)$ whenever $|t|-t_f \gg (|t|+t_f)^{3/5+\varepsilon }$ .

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t-Aspect subconvexity for GL(2)×GL(2) L-function

Cited by 4 publications

References 16 publications

Environmental correlates of temporal variation in the prey species of Australian fur seals inferred from scat analysis

Environmental correlates of temporal variation in the prey species of Australian fur seals inferred from scat analysis

Analytic twists of GL2×GL2$\rm GL_2\times \rm GL_2$ automorphic forms

UNIFORM BOUNDS FOR $\operatorname {GL}(3)\times \operatorname {GL}(2)$ L-FUNCTIONS

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