The Modularity of Z.-W. Sun's Conjectural Formulas for $\frac{1}π$
Fuente:
arXiv
Saved in:
| Main Authors: | van Hoeij, Mark, Tsai, Wei-Lun, Ye, Dongxi |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Quadratic irrational analogues of Ramanujan's series for $1/π$
by: Campbell, John M., et al.
Published: (2026)
by: Campbell, John M., et al.
Published: (2026)
Series for $1/π$ arising from Cauchy product
by: Lan, Roman Le
Published: (2026)
by: Lan, Roman Le
Published: (2026)
Evaluating lattice sums via telescoping on $SL_+(2,\mathbb Z)$: a short proof of $\sum \frac{1}{|x|^2|y|^2|x+y|^2}=\fracπ{4}$ and Zagier's identity
by: Kalinin, Nikita
Published: (2024)
by: Kalinin, Nikita
Published: (2024)
Lucas congruences using modular forms
by: Beukers, Frits, et al.
Published: (2024)
by: Beukers, Frits, et al.
Published: (2024)
A hyperelliptic saga on a generating function of the squares of Legendre polynomials
by: van Hoeij, Mark, et al.
Published: (2023)
by: van Hoeij, Mark, et al.
Published: (2023)
Asymptotic expansions of truncated hypergeometric series for $1/π$
by: Milla, Lorenz, et al.
Published: (2023)
by: Milla, Lorenz, et al.
Published: (2023)
Atkin polynomials for families of abelian varieties with real multiplication
by: Bogo, Gabriele, et al.
Published: (2026)
by: Bogo, Gabriele, et al.
Published: (2026)
Some series representing the zeta function for $\Re s>1$
by: Burnol, Jean-François
Published: (2026)
by: Burnol, Jean-François
Published: (2026)
Fast converging irrational series for $ L(2,(\frac d\cdot))$
by: Sun, Zhi-Wei, et al.
Published: (2025)
by: Sun, Zhi-Wei, et al.
Published: (2025)
Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples
by: Cao, Zhineng, et al.
Published: (2025)
by: Cao, Zhineng, et al.
Published: (2025)
Counterexamples to Zagier's Duality Conjecture on Nahm Sums
by: Wang, Liuquan
Published: (2024)
by: Wang, Liuquan
Published: (2024)
Fast Ramanujan-type Series for Logarithms. Part I
by: Zuniga, Jorge
Published: (2025)
by: Zuniga, Jorge
Published: (2025)
Modularity of Some Nahm Sums as Vector-valued Functions
by: Wang, Liuquan, et al.
Published: (2024)
by: Wang, Liuquan, et al.
Published: (2024)
Algorithms for Modular Parametrizations of Elliptic Curves over $\mathbb{Q}$
by: Wang, SanMin
Published: (2025)
by: Wang, SanMin
Published: (2025)
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
by: Cao, Zhineng, et al.
Published: (2024)
by: Cao, Zhineng, et al.
Published: (2024)
Euler-type recurrences for $t$-color and $t$-regular partition functions
by: Bhowmik, Tapas, et al.
Published: (2024)
by: Bhowmik, Tapas, et al.
Published: (2024)
Ramanujan type congruences for quotients of Klein forms
by: Huber, Timothy, et al.
Published: (2024)
by: Huber, Timothy, et al.
Published: (2024)
An alternative proof of the asymptotic formula for the Fourier coefficients of the elliptic modular $j$-function
by: Ikeda, Karin
Published: (2025)
by: Ikeda, Karin
Published: (2025)
Proofs of Mizuno's Conjectures on Rank Three Nahm Sums of Index $(1,2,2)$
by: Wang, Boxue, et al.
Published: (2024)
by: Wang, Boxue, et al.
Published: (2024)
On modular forms of rational weight satisfying the canonical second-order linear modular differential equation
by: Sakai, Yuichi, et al.
Published: (2026)
by: Sakai, Yuichi, et al.
Published: (2026)
Nahm sum identities for Cartan matrices of type $D_k$
by: Wang, Liuquan, et al.
Published: (2025)
by: Wang, Liuquan, et al.
Published: (2025)
Explicit Formulas for the Casimir Eigenvalues of $SL(n,\mathbb{Z})$-Maass Forms
by: Muthuvel, Vishal
Published: (2026)
by: Muthuvel, Vishal
Published: (2026)
Proofs of Two Conjectural Identities on Partial Nahm Sums
by: Shi, Changsong, et al.
Published: (2025)
by: Shi, Changsong, et al.
Published: (2025)
Eisenstein-series evaluations for a family of hyperbolic cosine Lambert series
by: Kalinin, Nikita
Published: (2026)
by: Kalinin, Nikita
Published: (2026)
Central values of additive twists of Maaß forms $L$-functions
by: Drappeau, Sary, et al.
Published: (2022)
by: Drappeau, Sary, et al.
Published: (2022)
An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum
by: Akatsuka, Hirotaka, et al.
Published: (2024)
by: Akatsuka, Hirotaka, et al.
Published: (2024)
Asymptotic Statistics of Odd Unimodal Sequences: Rank Distributions and Probabilistic Structures
by: He, Bing, et al.
Published: (2026)
by: He, Bing, et al.
Published: (2026)
Expressions for weight 2 cusp forms in holomorphic eta quotients
by: Chan, Elisabeth, et al.
Published: (2024)
by: Chan, Elisabeth, et al.
Published: (2024)
Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums
by: Wang, Liuquan, et al.
Published: (2025)
by: Wang, Liuquan, et al.
Published: (2025)
Mizuno's rank three Nahm sums I: identities of index $(1,1,2)$
by: Wang, Boxue, et al.
Published: (2024)
by: Wang, Boxue, et al.
Published: (2024)
Sharper bounds for the error in the prime number theorem assuming the Riemann Hypothesis
by: Lee, Ethan Simpson, et al.
Published: (2023)
by: Lee, Ethan Simpson, et al.
Published: (2023)
A differential approach to Ax-Schanuel, I
by: Blázquez-Sanz, David, et al.
Published: (2021)
by: Blázquez-Sanz, David, et al.
Published: (2021)
New Gosper-type Lambert series identities of levels 12 and 16
by: Guadalupe, Russelle
Published: (2025)
by: Guadalupe, Russelle
Published: (2025)
Gosper-type Lambert series identities of level 14
by: Guadalupe, Russelle
Published: (2024)
by: Guadalupe, Russelle
Published: (2024)
First Derivative of Automorphic Function of Triangle Groups
by: Alam, Md. Shafiul, et al.
Published: (2023)
by: Alam, Md. Shafiul, et al.
Published: (2023)
Identical Vanishing of Coefficients in the Series Expansion of Eta Quotients, modulo 4, 9 and 25
by: Huber, Tim, et al.
Published: (2025)
by: Huber, Tim, et al.
Published: (2025)
Some series representing the eta function for $\Re s>0$
by: Burnol, Jean-François
Published: (2026)
by: Burnol, Jean-François
Published: (2026)
The quasi-periods of the Weierstrass zeta-function
by: Bonk, Mario
Published: (2022)
by: Bonk, Mario
Published: (2022)
Nondefinability results for elliptic and modular functions
by: McCulloch, Raymond
Published: (2023)
by: McCulloch, Raymond
Published: (2023)
Newform Eisenstein Congruences of Local Origin
by: Fretwell, Dan, et al.
Published: (2023)
by: Fretwell, Dan, et al.
Published: (2023)
Similar Items
-
Quadratic irrational analogues of Ramanujan's series for $1/π$
by: Campbell, John M., et al.
Published: (2026) -
Series for $1/π$ arising from Cauchy product
by: Lan, Roman Le
Published: (2026) -
Evaluating lattice sums via telescoping on $SL_+(2,\mathbb Z)$: a short proof of $\sum \frac{1}{|x|^2|y|^2|x+y|^2}=\fracπ{4}$ and Zagier's identity
by: Kalinin, Nikita
Published: (2024) -
Lucas congruences using modular forms
by: Beukers, Frits, et al.
Published: (2024) -
A hyperelliptic saga on a generating function of the squares of Legendre polynomials
by: van Hoeij, Mark, et al.
Published: (2023)