Voronoi summation formulas, oscillations of Riesz sums, and Ramanujan-Guinand and Cohen type identities
Fuente:
arXiv
Saved in:
| Main Authors: | Charge, Shashank, Dixit, Atul |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Voronoi summation formula for the generalized divisor function $σ_{z}^{(k)}(n)$
by: Dixit, Atul, et al.
Published: (2023)
by: Dixit, Atul, et al.
Published: (2023)
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)
Equivalence between the Functional Equation and Vorono\"ı-type summation identities for a class of $L$-Functions
by: Roy, Arindam, et al.
Published: (2026)
by: Roy, Arindam, et al.
Published: (2026)
Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions
by: Dixit, Atul, et al.
Published: (2024)
by: Dixit, Atul, et al.
Published: (2024)
On a function of Ramanujan twisted by a logarithm
by: Dixit, Atul, et al.
Published: (2025)
by: Dixit, Atul, et al.
Published: (2025)
A divisor function of Wigert and higher degree forms
by: Banerjee, Debika, et al.
Published: (2026)
by: Banerjee, Debika, et al.
Published: (2026)
An incomplete Riemann Zeta function as a fractional integral
by: Crider, Sarah M., et al.
Published: (2024)
by: Crider, Sarah M., et al.
Published: (2024)
A round of Pintz to celebrate oscillations in sums
by: Johnston, Daniel R., et al.
Published: (2025)
by: Johnston, Daniel R., et al.
Published: (2025)
An analogue of Ramanujan's identity for Bernoulli-Carlitz numbers
by: Hu, Su, et al.
Published: (2023)
by: Hu, Su, et al.
Published: (2023)
An extension to the complex plane of the Riemann-Siegel Z function
by: Lodone, Giovanni
Published: (2021)
by: Lodone, Giovanni
Published: (2021)
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)
Evaluation of one-dimensional polylogarithmic integral, with applications to infinite series
by: Au, Kam Cheong
Published: (2020)
by: Au, Kam Cheong
Published: (2020)
On single-variable Witten zeta functions of rank two and three
by: Au, Kam Cheong
Published: (2024)
by: Au, Kam Cheong
Published: (2024)
Wilf-Zeilberger seeds and non-trivial hypergeometric identities
by: Au, Kam Cheong
Published: (2023)
by: Au, Kam Cheong
Published: (2023)
Some new properties of the beta function and Ramanujan R-function
by: Yang, Zhen-Hang, et al.
Published: (2024)
by: Yang, Zhen-Hang, et al.
Published: (2024)
Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros
by: Fazzari, Alessandro, et al.
Published: (2025)
by: Fazzari, Alessandro, et al.
Published: (2025)
The third moment of the logarithm of zeta and a twisted pair correlation conjecture
by: Fazzari, Alessandro, et al.
Published: (2024)
by: Fazzari, Alessandro, et al.
Published: (2024)
Equivalent criteria for the Riemann hypothesis for a general class of $L$-functions
by: Garg, Meghali, et al.
Published: (2024)
by: Garg, Meghali, et al.
Published: (2024)
The sixth moment of Dirichlet L-functions at the central point
by: Chandee, Vorrapan, et al.
Published: (2024)
by: Chandee, Vorrapan, et al.
Published: (2024)
A variant of the Linnik-Sprindzuk theorem for simple zeros of Dirichlet L-functions
by: Banks, William D.
Published: (2024)
by: Banks, William D.
Published: (2024)
Notes on certain binomial harmonic sums of Sun's type
by: Zhou, Yajun
Published: (2025)
by: Zhou, Yajun
Published: (2025)
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)
On closed forms of some trigonometric series
by: Tričković, Slobodan B., et al.
Published: (2024)
by: Tričković, Slobodan B., et al.
Published: (2024)
The $θ= \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions
by: Dong, Anji, et al.
Published: (2026)
by: Dong, Anji, et al.
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)
An explicit log-free zero density estimate for the Riemann zeta-function
by: Bellotti, Chiara
Published: (2024)
by: Bellotti, Chiara
Published: (2024)
Improved estimates for the argument and zero-counting function of the Riemann zeta-function
by: Bellotti, Chiara, et al.
Published: (2024)
by: Bellotti, Chiara, et al.
Published: (2024)
Explicit bounds on $ζ(s)$ in the critical strip and a zero-free region
by: Yang, Andrew
Published: (2023)
by: Yang, Andrew
Published: (2023)
Fourier optimization and pair correlation problems
by: Das, Mithun Kumar, et al.
Published: (2025)
by: Das, Mithun Kumar, et al.
Published: (2025)
Möbius inversion and coprime summation for error-sum functions of continued fractions
by: Ahn, Min Woong
Published: (2025)
by: Ahn, Min Woong
Published: (2025)
On certain Gram matrices and their associated series
by: Ehm, Werner
Published: (2024)
by: Ehm, Werner
Published: (2024)
A Number Field Analogue of Ramanujan's identity for $ζ(2m+1)$
by: Bansal, Diksha Rani, et al.
Published: (2024)
by: Bansal, Diksha Rani, et al.
Published: (2024)
Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression
by: Carneiro, Emanuel, et al.
Published: (2024)
by: Carneiro, Emanuel, et al.
Published: (2024)
Fourier optimization and consequences of the generalized Riemann hypothesis
by: Quesada-Herrera, Emily
Published: (2024)
by: Quesada-Herrera, Emily
Published: (2024)
On the properties of alternating invariant functions
by: Zhu, Haiqing, et al.
Published: (2025)
by: Zhu, Haiqing, et al.
Published: (2025)
An Apéry-like difference equation for Catalan's constant
by: Zudilin, Wadim
Published: (2002)
by: Zudilin, Wadim
Published: (2002)
On the asymptotics of Kempner-Irwin sums
by: Burnol, Jean-François
Published: (2024)
by: Burnol, Jean-François
Published: (2024)
$q$-analogues of Wilf-Zeilberger seeds and Ramanujan $1/π^k$-formulas
by: Au, Kam Cheong
Published: (2024)
by: Au, Kam Cheong
Published: (2024)
An asymptotic expansion for a Lambert series associated to Siegel cusp forms of degree $n$
by: Babita, et al.
Published: (2024)
by: Babita, et al.
Published: (2024)
Oscillation results for the summatory functions of fake mu's
by: Martin, Greg, et al.
Published: (2024)
by: Martin, Greg, et al.
Published: (2024)
Similar Items
-
Voronoi summation formula for the generalized divisor function $σ_{z}^{(k)}(n)$
by: Dixit, Atul, et al.
Published: (2023) -
A Baseline $T\log^2 T$ Upper Bound for KL-Regularized Prime--Zero Optimal Transport
by: Yang, Zhejun
Published: (2025) -
Equivalence between the Functional Equation and Vorono\"ı-type summation identities for a class of $L$-Functions
by: Roy, Arindam, et al.
Published: (2026) -
Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions
by: Dixit, Atul, et al.
Published: (2024) -
On a function of Ramanujan twisted by a logarithm
by: Dixit, Atul, et al.
Published: (2025)