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Publications (24)

math.NT2018

t-Aspect Subconvexity Bound for $G L (2)$ L-functions

Keshav Aggarwal, Saurabh Kumar Singh

Let $f$ be a holomorphic Hecke eigenforms or a Hecke-Maass cusp form for the full modular group $S L (2, Z)$ . In this paper we shall use circle method to prove the Weyl ex…

math.NT2025

Short second moment bound and Subconvexity for GL(3) $L$ -functions

Keshav Aggarwal, Wing Hong Leung, Ritabrata Munshi

Let $I ¨ $ be a Hecke cusp form for $SL_{3} (Z)$ . We bound the second moment average of $L (s, I ¨ )$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it…

astro-ph.EP2023

A broadband thermal emission spectrum of the ultra-hot Jupiter WASP-18b

Louis-Philippe Coulombe, BjÃ¶rn Benneke, Ryan Challener +73

Close-in giant exoplanets with temperatures greater than 2,000 K (''ultra-hot Jupiters'') have been the subject of extensive efforts to determine their atmospheric properties using…

astro-ph.EP2022

Early Release Science of the Exoplanet WASP-39b with JWST NIRSpec G395H

Lili Alderson, Hannah R. Wakeford, Munazza K. Alam +89

Measuring the abundances of carbon and oxygen in exoplanet atmospheres is considered a crucial avenue for unlocking the formation and evolution of exoplanetary systems. Access to a…

astro-ph.EP2022

Identification of carbon dioxide in an exoplanet atmosphere

The JWST Transiting Exoplanet Community Early Release Science Team, Eva-Maria Ahrer, Lili Alderson +129

Carbon dioxide (CO2) is a key chemical species that is found in a wide range of planetary atmospheres. In the context of exoplanets, CO2 is an indicator of the metal enrichment (i.…

math.NT2018

Weyl bound for $GL (2)$ in $t$ -aspect via a trivial delta method

Keshav Aggarwal

We use a `trivial' delta method to prove the Weyl bound in $t$ -aspect for the $L$ -function of a holomorphic or a Hecke-Maass cusp form of arbitrary level and nebentypus. In par…

math.NT2017

$t$ -aspect subconvexity for $G L (2)$ $L$ -functions

Keshav Aggarwal

Let $f$ be a holomorphic cusp form for $S L_{2} (Z)$ of weight $k > 1$ . In these notes, we follow Munshi to prove the Burgess bound $$ L(1/2+it,f)\ll_{f,\varepsilon} (1+|t|)^{1/…

math.NT2018

Hybrid Level Aspect Subconvexity for $G L (2) \times G L (1)$ Rankin-Selberg $L$ -Functions

Keshav Aggarwal, Yeongseong Jo, Kevin Nowland

Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P \sim M^{I^} \cdot$ with $0 < I^\cdot < 2/5$ . We simplify the proof of subconvexity bounds for $L(\frac{…

astro-ph.SR2026

Probing the Solar Corona and the Solar Wind Using Angular Broadening Observations with the SKA

Peijin Zhang, John Morgan, Divya Oberoi +9

Angular broadening observations of compact radio sources provide a powerful method for probing the solar corona and solar wind. Such observations enable studies of the phase struct…

astro-ph.SR2026

A turbulence index independent framework for deriving solar wind speed and coronal electron density from radio spectral broadening

Keshav Aggarwal, R. K. Choudhary, Abhirup Datta +3

We present a turbulence index independent framework for simultaneously deriving solar wind velocity and coronal electron density in the near-Sun region using the spectral broadenin…

astro-ph.SR2025

On the estimation of solar wind velocity under varying solar activity conditions using Akatsuki measurements

Keshav Aggarwal, R. K. Choudhary, Abhirup Datta +1

We present an analysis of solar wind dynamics based on Doppler spectral width measurements of X-band radio signals from the Japanese Akatsuki spacecraft. The dataset includes two s…

astro-ph.SR2025

Insights into Solar Wind Flow Speeds from the Coronal Radio occultation Experiment: Findings from the Indian Mars Orbiter Mission

Keshav Aggarwal, R. K. Choudhary, Abhirup Datta +2

Using data collected by the Indian Mars Orbiter Mission in October 2021, we investigated coronal regions of the Sun by analyzing the Doppler spectral width of radio signals to esti…

math.NT2020

The Burgess bound via a trivial delta method

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

Let $g$ be a fixed Hecke cusp form for $SL (2, Z)$ and $I ¨ $ be a primitive Dirichlet character of conductor $M$ . The best known subconvex bound for $L(1/2,g\otimes…

math.NT2017

Subconvexity Bound for Hecke character $L$ -Functions of Imaginary quadratic Number fields

Keshav Aggarwal

Let $K = Q (- D)$ be an imaginary number field, $(p) = p p^{'}$ be a split odd prime and $I ¨ $ be a Hecke character of conductor $p$ . Let $L(s…

astro-ph.EP2023

Photochemically-produced SO $_{2}$ in the atmosphere of WASP-39b

Shang-Min Tsai, Elspeth K. H. Lee, Diana Powell +82

Photochemistry is a fundamental process of planetary atmospheres that regulates the atmospheric composition and stability. However, no unambiguous photochemical products have been…

math.NT2026

Explicit bounds for the graphicality of the prime gap sequence

Keshav Aggarwal, Robin Frot, Haozhe Gou +1

We establish explicit unconditional results on the graphic properties of the prime gap sequence. Let $p_{n}$ denote the $n$ -th prime number (with $p_{0} = 1$ ) and $\mathrm{PD}_n = (p_\el…

astro-ph.EP2026

A study on the contribution of the interplanetary medium in radio occultation experiments

Keshav Aggarwal, R. K. Choudhary, Abhirup Datta +4

Irregularities in electron density within the interplanetary medium (IPM) can cause fluctuations in the Doppler frequency of spacecraft radio signals. The amplitude of these fluctu…

astro-ph.SR2026

A generalized method for estimating solar wind speeds and densities using spectral broadening for a Kolmogorov turbulence spectrum

Keshav Aggarwal, R. K. Choudhary, Abhirup Datta +3

We present a unified method to derive both solar wind velocities and coronal electron densities in the near-Sun corona using Doppler spectral broadening of spacecraft radio signals…

math.NT2020

A Bessel delta-method and exponential sums for GL(2)

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

In this paper, we introduce a simple Bessel $I^´$ -method to the theory of exponential sums for $G L_{2}$ . Some results of Jutila on exponential sums are generalized in a less techn…

astro-ph.EP2024

Sulphur dioxide in the mid-infrared transmission spectrum of WASP-39b

Diana Powell, Adina D. Feinstein, Elspeth K. H. Lee +70

The recent inference of sulphur dioxide (SO $_{2}$ ) in the atmosphere of the hot ( $\sim$ 1100 K), Saturn-mass exoplanet WASP-39b from near-infrared JWST observations suggests that phot…

astro-ph.EP2024

Nightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43b

Taylor J. Bell, Nicolas Crouzet, Patricio E. Cubillos +80

Hot Jupiters are among the best-studied exoplanets, but it is still poorly understood how their chemical composition and cloud properties vary with longitude. Theoretical models pr…

math.NT2024

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions

Keshav Aggarwal, Sumit Kumar, Chung-Hang Kwan +3

Let $f$ be a newform of prime level $p$ with any central character $I ¨ (mod p)$ , and let $g$ be a fixed cusp form or Eisenstein series for $SL_{2} (Z)$ . We pro…

math.NT2020

A new subconvex bound for $GL (3)$ $L$ -functions in the $t$ -aspect

Keshav Aggarwal

We revisit Munshi's proof of the $t$ -aspect subconvex bound for $GL (3)$ $L$ -functions, and we are able to remove the `conductor lowering' trick. This simplification along with…

astro-ph.EP2023

Detection of carbon monoxide's 4.6 micron fundamental band structure in WASP-39b's atmosphere with JWST NIRSpec G395H

David Grant, Joshua D. Lothringer, Hannah R. Wakeford +28

Carbon monoxide (CO) is predicted to be the dominant carbon-bearing molecule in giant planet atmospheres, and, along with water, is important for discerning the oxygen and therefor…

Publications (24)

t-Aspect Subconvexity Bound for GL(2) L-functions

Short second moment bound and Subconvexity for GL(3) L-functions

A broadband thermal emission spectrum of the ultra-hot Jupiter WASP-18b

Early Release Science of the Exoplanet WASP-39b with JWST NIRSpec G395H

Identification of carbon dioxide in an exoplanet atmosphere

Weyl bound for GL(2) in t-aspect via a trivial delta method

t-aspect subconvexity for GL(2) L-functions

Hybrid Level Aspect Subconvexity for GL(2)×GL(1) Rankin-Selberg L-Functions

Probing the Solar Corona and the Solar Wind Using Angular Broadening Observations with the SKA

A turbulence index independent framework for deriving solar wind speed and coronal electron density from radio spectral broadening

On the estimation of solar wind velocity under varying solar activity conditions using Akatsuki measurements

Insights into Solar Wind Flow Speeds from the Coronal Radio occultation Experiment: Findings from the Indian Mars Orbiter Mission

The Burgess bound via a trivial delta method

Subconvexity Bound for Hecke character L-Functions of Imaginary quadratic Number fields

Photochemically-produced SO2​ in the atmosphere of WASP-39b

Explicit bounds for the graphicality of the prime gap sequence

A study on the contribution of the interplanetary medium in radio occultation experiments

A generalized method for estimating solar wind speeds and densities using spectral broadening for a Kolmogorov turbulence spectrum

A Bessel delta-method and exponential sums for GL(2)

Sulphur dioxide in the mid-infrared transmission spectrum of WASP-39b

Nightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43b

Level aspect subconvexity for GL(2)×GL(2) L-functions

A new subconvex bound for GL(3) L-functions in the t-aspect

Detection of carbon monoxide's 4.6 micron fundamental band structure in WASP-39b's atmosphere with JWST NIRSpec G395H

t-Aspect Subconvexity Bound for $G L (2)$ L-functions

Short second moment bound and Subconvexity for GL(3) $L$ -functions

Weyl bound for $GL (2)$ in $t$ -aspect via a trivial delta method

$t$ -aspect subconvexity for $G L (2)$ $L$ -functions

Hybrid Level Aspect Subconvexity for $G L (2) \times G L (1)$ Rankin-Selberg $L$ -Functions

Subconvexity Bound for Hecke character $L$ -Functions of Imaginary quadratic Number fields

Photochemically-produced SO $_{2}$ in the atmosphere of WASP-39b

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions

A new subconvex bound for $GL (3)$ $L$ -functions in the $t$ -aspect