Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression
Fuente:
arXiv
Saved in:
| Main Authors: | Carneiro, Emanuel, Milinovich, Micah B., Quesada-Herrera, Emily, Ramos, Antonio Pedro |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Fourier optimization and consequences of the generalized Riemann hypothesis
by: Quesada-Herrera, Emily
Published: (2024)
by: Quesada-Herrera, Emily
Published: (2024)
On Littlewood's estimate for the modulus of the zeta function on the critical line
by: Carneiro, Emanuel, et al.
Published: (2024)
by: Carneiro, Emanuel, et al.
Published: (2024)
An extension to the complex plane of the Riemann-Siegel Z function
by: Lodone, Giovanni
Published: (2021)
by: Lodone, Giovanni
Published: (2021)
Fourier optimization and pair correlation problems
by: Das, Mithun Kumar, et al.
Published: (2025)
by: Das, Mithun Kumar, et al.
Published: (2025)
Borel lemma: geometric progression and zeta-functions
by: Han, Qi, et al.
Published: (2024)
by: Han, Qi, et al.
Published: (2024)
Fourier transform inequalities, lattice point discrepancy, asymptotic behavior, oscillatory integrals
by: Lind, Martin
Published: (2022)
by: Lind, Martin
Published: (2022)
A Baseline $T\log^2 T$ Upper Bound for KL-Regularized Prime--Zero Optimal Transport
by: Yang, Zhejun
Published: (2025)
by: Yang, Zhejun
Published: (2025)
Zeros of $L$-Functions in Low-Lying Intervals and de Branges spaces
by: Ramos, Antonio Pedro
Published: (2024)
by: Ramos, Antonio Pedro
Published: (2024)
Littlewood's estimates for $L$-functions in the hyperelliptic ensemble
by: Carneiro, Emanuel, et al.
Published: (2025)
by: Carneiro, Emanuel, et al.
Published: (2025)
Optimal bounds for sums of non-negative arithmetic functions
by: Chirre, Andrés, et al.
Published: (2025)
by: Chirre, Andrés, et al.
Published: (2025)
On certain Gram matrices and their associated series
by: Ehm, Werner
Published: (2024)
by: Ehm, Werner
Published: (2024)
Voronoi summation formulas, oscillations of Riesz sums, and Ramanujan-Guinand and Cohen type identities
by: Charge, Shashank, et al.
Published: (2024)
by: Charge, Shashank, et al.
Published: (2024)
Fourier transform pairs and Eisenstein-type series related to Jacobi elliptic functions
by: Hang, Peng-Cheng, et al.
Published: (2025)
by: Hang, Peng-Cheng, et al.
Published: (2025)
Convexity, Fourier transforms, and lattice point discrepancy
by: Greenblatt, Michael
Published: (2024)
by: Greenblatt, Michael
Published: (2024)
Optimal bounds for sums of bounded arithmetic functions
by: Chirre, Andrés, et al.
Published: (2025)
by: Chirre, Andrés, et al.
Published: (2025)
A conjecture for arithmetic spherical maximal functions
by: Hughes, Kevin
Published: (2026)
by: Hughes, Kevin
Published: (2026)
Number Field Analogue of Jacobi Theta Relation And Zeros of Dedekind zeta function on Re$(s)=1/2$
by: Bansal, Diksha Rani, et al.
Published: (2025)
by: Bansal, Diksha Rani, et al.
Published: (2025)
Unconditional Density Bounds for Quadratic Norm-Form Energies via Lorentzian Spectral Weights
by: Shiller, Peter
Published: (2026)
by: Shiller, Peter
Published: (2026)
An analogue of Ramanujan's identity for Bernoulli-Carlitz numbers
by: Hu, Su, et al.
Published: (2023)
by: Hu, Su, et al.
Published: (2023)
A new approach to evaluating Malmsten's integral and related integrals
by: Abdulsalam, Abdulhafeez A.
Published: (2022)
by: Abdulsalam, Abdulhafeez A.
Published: (2022)
Beurling Nyman Geometry and Gram Matrix Structure, Ladder Density and Polynomial Decay via Mellin Smoothing
by: Carvill, Hugh
Published: (2025)
by: Carvill, Hugh
Published: (2025)
Prime-Weighted Interference Patterns Inspired by the Euler Product
by: Takalo, Jouni J.
Published: (2026)
by: Takalo, Jouni J.
Published: (2026)
On the Fourier decay of multiplicative convolutions
by: Orponen, Tuomas, et al.
Published: (2023)
by: Orponen, Tuomas, et al.
Published: (2023)
All Zeros of the Riemann Zeta Function in the Critical Strip are Located on the Critical Line and are Simple
by: Stenger, Frank
Published: (2017)
by: Stenger, Frank
Published: (2017)
On the exact location of the non-trivial zeros of Riemann's zeta function
by: de Reyna, Juan Arias, et al.
Published: (2013)
by: de Reyna, Juan Arias, et al.
Published: (2013)
Hölder continuity and dimensions of fractal Fourier series
by: Garitsis, Efstathios Konstantinos Chrontsios, et al.
Published: (2022)
by: Garitsis, Efstathios Konstantinos Chrontsios, et al.
Published: (2022)
Explicit conditional bounds for the residue of a Dedekind zeta-function at $s=1$
by: Garcia, Stephan Ramon, et al.
Published: (2025)
by: Garcia, Stephan Ramon, et al.
Published: (2025)
Large values of quadratic Dirichlet $L$-functions near the central point
by: Dong, Zikang, et al.
Published: (2025)
by: Dong, Zikang, et al.
Published: (2025)
Upper bounds for shifted moments of quadratic Dirichlet $L$-functions over function fields
by: Gao, Peng, et al.
Published: (2024)
by: Gao, Peng, et al.
Published: (2024)
On gamma functions with respect to the alternating Hurwitz zeta functions
by: Wang, Wanyi, et al.
Published: (2024)
by: Wang, Wanyi, et al.
Published: (2024)
Sums of infinite series involving the Dirichlet lambda function
by: Hu, Su, et al.
Published: (2025)
by: Hu, Su, et al.
Published: (2025)
Effective equidistribution of Galois orbits for mildly regular test functions
by: Carneiro, Emanuel, et al.
Published: (2024)
by: Carneiro, Emanuel, et al.
Published: (2024)
Determining the Indeterminate: On the Evaluation of Integrals that connect Riemann's, Hurwitz' and Dirichlet's Zeta, Eta and Beta functions
by: Milgram, Michael
Published: (2021)
by: Milgram, Michael
Published: (2021)
Evaluation of the symmetrized Mordell-Tornheim zeta function
by: Dobrowolski, Przemysław
Published: (2026)
by: Dobrowolski, Przemysław
Published: (2026)
On the error in the prime number theorem in short intervals
by: Lee, Ethan Simpson
Published: (2024)
by: Lee, Ethan Simpson
Published: (2024)
Ties in Function Field Prime Races
by: Bates, Graeme, et al.
Published: (2026)
by: Bates, Graeme, et al.
Published: (2026)
Investigation about a statement equivalent to Riemann Hypothesis (RH) applied to Dirichlet primitive L functions
by: Lodone, Giovanni
Published: (2024)
by: Lodone, Giovanni
Published: (2024)
The positivity technique and low-lying zeros of Dirichlet $L$-functions
by: Zhao, Tianyu
Published: (2025)
by: Zhao, Tianyu
Published: (2025)
Integer moments of the derivatives of the Riemann zeta function
by: Hughes, Christopher, et al.
Published: (2025)
by: Hughes, Christopher, et al.
Published: (2025)
Phase variation and angular momentum of the Riemann, and, Dirichlet Xi functions
by: Lodone, Giovanni
Published: (2025)
by: Lodone, Giovanni
Published: (2025)
Similar Items
-
Fourier optimization and consequences of the generalized Riemann hypothesis
by: Quesada-Herrera, Emily
Published: (2024) -
On Littlewood's estimate for the modulus of the zeta function on the critical line
by: Carneiro, Emanuel, et al.
Published: (2024) -
An extension to the complex plane of the Riemann-Siegel Z function
by: Lodone, Giovanni
Published: (2021) -
Fourier optimization and pair correlation problems
by: Das, Mithun Kumar, et al.
Published: (2025) -
Borel lemma: geometric progression and zeta-functions
by: Han, Qi, et al.
Published: (2024)