Jesse Aaron Thorner

2024

An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin L -functions

Lemke Oliver, R. J., Thorner, J. & Zaman, A., Mar 2024, In: Inventiones Mathematicae. 235, 3, p. 893-971 79 p.

Research output: Contribution to journal › Article › peer-review

Open Access

An explicit version of Bombieri's log-free density estimate and Sárközy's theorem for shifted primes

Thorner, J. & Zaman, A., Jul 1 2024, In: Forum Mathematicum. 36, 4, p. 1059-1080 22 p.

Research output: Contribution to journal › Article › peer-review

Open Access

Bounds for moments of ℓ-torsion in class groups

Koymans, P. & Thorner, J., Oct 2024, In: Mathematische Annalen. 390, 2, p. 3221-3237 17 p.

Research output: Contribution to journal › Article › peer-review

Refinements to the prime number theorem for arithmetic progressions

Thorner, J. & Zaman, A., Mar 2024, In: Mathematische Zeitschrift. 306, 3, 54.

Research output: Contribution to journal › Article › peer-review

Zeros of Rankin–Selberg L-functions in families

Humphries, P. & Thorner, J., Apr 3 2024, In: Compositio Mathematica. 160, 5, p. 1041-1072 32 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2023

A Bombieri-Vinogradov Theorem for Higher-Rank Groups

Jiang, Y., Lü, G., Thorner, J. & Wang, Z., Jan 1 2023, In: International Mathematics Research Notices. 2023, 1, p. 482-535 54 p.

Research output: Contribution to journal › Article › peer-review

Open Access

A zero density estimate and fractional imaginary parts of zeros for L-functions

Beckwith, O., Liu, D. I., Thorner, J. & Zaharescu, A., May 28 2023, In: Mathematical Proceedings of the Cambridge Philosophical Society. 174, 3, p. 605-630 26 p.

Research output: Contribution to journal › Article › peer-review

Open Access

A Zero Density Estimate for Dedekind Zeta Functions

Thorner, J. & Zaman, A., Apr 1 2023, In: International Mathematics Research Notices. 2023, 8, p. 6739-6761 23 p.

Research output: Contribution to journal › Article › peer-review

Open Access

Short-interval sector problems for CM elliptic curves

Panidapu, A. & Thorner, J., 2023, In: Involve. 16, 1, p. 1-12 12 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2022

Effective Quantum Unique Ergodicity for Hecke-Maass Newforms and Landau-Siegel Zeros

Thorner, J., Sep 1 2022, In: Quarterly Journal of Mathematics. 73, 3, p. 1089-1102 14 p.

Research output: Contribution to journal › Article › peer-review

Open Access

Jensen polynomials for the Riemann xi-function

Griffin, M. J., Ono, K., Rolen, L., Thorner, J., Tripp, Z. & Wagner, I., Mar 5 2022, In: Advances in Mathematics. 397, 108186.

Research output: Contribution to journal › Article › peer-review

Towards a GL_n variant of the Hoheisel phenomenon

Humphries, P. & Thorner, J., 2022, In: Transactions of the American Mathematical Society. 375, 3, p. 1801-1824 24 p.

Research output: Contribution to journal › Article › peer-review

Zeros of Rankin-Selberg L-functions at the edge of the critical strip

Brumley, F., Thorner, J., Zaman, A., Bushnell, C. J. & Henniart, G., 2022, In: Journal of the European Mathematical Society. 24, 5, p. 1471-1541 71 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2021

Almost all primes satisfy the Atkin–Serre conjecture and are not extremal

Gafni, A., Thorner, J. & Wong, P. J., Jun 2021, In: Research in Number Theory. 7, 2, 31.

Research output: Contribution to journal › Article › peer-review

An unconditional GL_n large sieve

Thorner, J. & Zaman, A., Feb 12 2021, In: Advances in Mathematics. 378, 107529.

Research output: Contribution to journal › Article › peer-review

Open Access

Effective forms of the Sato–Tate conjecture

Thorner, J., Mar 2021, In: Research in Mathematical Sciences. 8, 1, 4.

Research output: Contribution to journal › Article › peer-review

The explicit Sato-Tate conjecture for primes in arithmetic progressions

Hammonds, T., Kothari, C., Luntzlara, N., Miller, S. J., Thorner, J. & Wieman, H., Sep 1 2021, In: International Journal of Number Theory. 17, 8, p. 1905-1923 19 p.

Research output: Contribution to journal › Article › peer-review

Zeros of GL₂ L-functions on the critical line

Andersen, N. & Thorner, J., Mar 1 2021, In: Forum Mathematicum. 33, 2, p. 477-491 15 p.

Research output: Contribution to journal › Article › peer-review

2019

A unified and improved Chebotarev density theorem

Thorner, J. & Zaman, A., 2019, In: Algebra and Number Theory. 13, 5, p. 1039-1068 30 p.

Research output: Contribution to journal › Article › peer-review

Bounded gaps between primes in multidimensional Hecke equidistribution problems

Thorner, J., 2019, In: Mathematical Research Letters. 26, 3, p. 875-901 27 p.

Research output: Contribution to journal › Article › peer-review

Effective Log-Free Zero Density Estimates for Automorphic L-Functions and the Sato-Tate Conjecture

Lemke Oliver, R. J. & Thorner, J., Nov 18 2019, In: International Mathematics Research Notices. 2019, 22, p. 6988-7036 49 p.

Research output: Contribution to journal › Article › peer-review

Weak Subconvexity Without A Ramanujan Hypothesis

Soundararajan, K., Thorner, J. & Brumley, F., May 15 2019, In: Duke Mathematical Journal. 168, 7, p. 1231-1268 38 p.

Research output: Contribution to journal › Article › peer-review

2018

A Chebotarev Variant of the Brun-Titchmarsh Theorem and Bounds for the Lang-Trotter conjectures

Thorner, J. & Zaman, A., Aug 21 2018, In: International Mathematics Research Notices. 2018, 16, p. 4991-5027 37 p.

Research output: Contribution to journal › Article › peer-review

Open Access

2017

An explicit bound for the least prime ideal in the Chebotarev density theorem

Thorner, J. & Zaman, A., 2017, In: Algebra and Number Theory. 11, 5, p. 1135-1197 63 p.

Research output: Contribution to journal › Article › peer-review

Special values of motivic L-functions and zeta-polynomials for symmetric powers of elliptic curves

Löbrich, S., Ma, W. & Thorner, J., Dec 1 2017, In: Research in Mathematical Sciences. 4, 1, 26.

Research output: Contribution to journal › Article › peer-review

Open Access

The explicit Sato-Tate conjecture and densities pertaining to Lehmer-type questions

Rouse, J. & Thorner, J., 2017, In: Transactions of the American Mathematical Society. 369, 5, p. 3575-3604 30 p.

Research output: Contribution to journal › Article › peer-review

2016

A variant of the Bombieri-Vinogradov theorem in short intervals and some questions of Serre

Thorner, J., Jul 1 2016, In: Mathematical Proceedings of the Cambridge Philosophical Society. 161, 1, p. 53-63 11 p.

Research output: Contribution to journal › Article › peer-review

Benford's Law for coefficients of newforms

Jameson, M., Thorner, J. & Ye, L., Mar 1 2016, In: International Journal of Number Theory. 12, 2, p. 483-494 12 p.

Research output: Contribution to journal › Article › peer-review

2014

Bounded gaps between primes in Chebotarev sets

Thorner, J., Dec 1 2014, In: Research in Mathematical Sciences. 1, 1, 4.

Research output: Contribution to journal › Article › peer-review

Open Access

The error term in the Sato-Tate conjecture

Thorner, J., Aug 2014, In: Archiv der Mathematik. 103, 2, p. 147-156 10 p.

Research output: Contribution to journal › Article › peer-review

Jesse Aaron Thorner

Research output

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