Discussion on some conjectures regarding the periodicity of sign patterns of certain infinite products involving the Rogers-Ramanujan Continued Fractions
Fuente:
arXiv
Saved in:
| Main Authors: | Ghoshal, Suparno, Jana, Arijit |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Combinatorial proof of a result on generalized overcubic partitions and related conjectures
by: Ghoshal, Suparno, et al.
Published: (2025)
by: Ghoshal, Suparno, et al.
Published: (2025)
Proof of a Conjecture on Overcolored Partition Restricted by Parity of the Parts
by: Hussain, Imdadul, et al.
Published: (2026)
by: Hussain, Imdadul, et al.
Published: (2026)
Further results on arithmetic properties of biregular overpartitions
by: Ghoshal, Suparno, et al.
Published: (2025)
by: Ghoshal, Suparno, et al.
Published: (2025)
Proof of a conjecture of Baruah and Sarma on sign patterns of certain infinite products
by: He, Bing, et al.
Published: (2025)
by: He, Bing, et al.
Published: (2025)
Sign Patterns and Congruences of certain infinite products involving the Rogers-Ramanujan continued fraction
by: Baruah, Nayandeep Deka, et al.
Published: (2025)
by: Baruah, Nayandeep Deka, et al.
Published: (2025)
Some conjectures of Schlosser and Zhou on sign patterns of the coefficients of infinite products
by: He, Bing, et al.
Published: (2025)
by: He, Bing, et al.
Published: (2025)
Modularity of certain products of the Rogers-Ramanujan continued fraction
by: Guadalupe, Russelle
Published: (2024)
by: Guadalupe, Russelle
Published: (2024)
Identities for the Rogers-Ramanujan Continued Fraction
by: Baruah, Nayandeep Deka, et al.
Published: (2024)
by: Baruah, Nayandeep Deka, et al.
Published: (2024)
On certain extensions of Ramanujan's Master Theorem and their applications
by: Atale, Omprakash, et al.
Published: (2021)
by: Atale, Omprakash, et al.
Published: (2021)
Rogers-Ramanujan Type Identities Involving Double Sums
by: Chen, Dandan, et al.
Published: (2024)
by: Chen, Dandan, et al.
Published: (2024)
On certain determinants and the square root of some determinants involving Legendre Symbols
by: Ren, Chen-kai, et al.
Published: (2024)
by: Ren, Chen-kai, et al.
Published: (2024)
Solutions to some sign change problems on the functions involving sums of divisors
by: Ding, Yuchen, et al.
Published: (2024)
by: Ding, Yuchen, et al.
Published: (2024)
Signed Partitions and Rogers-Ramanujan type Identities
by: Alanazi, Abdulaziz M., et al.
Published: (2025)
by: Alanazi, Abdulaziz M., et al.
Published: (2025)
The Ariki--Koike algebras and Rogers--Ramanujan type partitions
by: Chern, Shane, et al.
Published: (2022)
by: Chern, Shane, et al.
Published: (2022)
Chern-Simons theories with defects, Rogers-Ramanujan type functions and eta-products
by: Okazaki, Tadashi, et al.
Published: (2024)
by: Okazaki, Tadashi, et al.
Published: (2024)
Proof of the Lehmer conjecture on Ramanujan's $τ$ function
by: Shi, Minjia, et al.
Published: (2025)
by: Shi, Minjia, et al.
Published: (2025)
Ramanujan, the taxicab problem for polynomials, and the abc-conjecture
by: Gyarmati, Katalin
Published: (2026)
by: Gyarmati, Katalin
Published: (2026)
On some conjectural supercongruences involving the sequence $t_n(x)$
by: Han, Hui-Li, et al.
Published: (2025)
by: Han, Hui-Li, et al.
Published: (2025)
Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar
by: Charan, Mrityunjoy, et al.
Published: (2025)
by: Charan, Mrityunjoy, et al.
Published: (2025)
An example of $A_2$ Rogers-Ramanujan bipartition identities of level 3
by: Tsuchioka, Shunsuke
Published: (2022)
by: Tsuchioka, Shunsuke
Published: (2022)
Triple product $L$-functions and the Ramanujan conjecture
by: Getz, Jayce R., et al.
Published: (2025)
by: Getz, Jayce R., et al.
Published: (2025)
A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities
by: Rosengren, Hjalmar
Published: (2022)
by: Rosengren, Hjalmar
Published: (2022)
$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra
by: Ghosh, Alapan, et al.
Published: (2026)
by: Ghosh, Alapan, et al.
Published: (2026)
New proofs of the septic Rogers-Ramanujan identities
by: Rosengren, Hjalmar
Published: (2023)
by: Rosengren, Hjalmar
Published: (2023)
Applications of the icosahedral equation for the Rogers-Ramanujan continued fraction
by: Campbell, John M.
Published: (2024)
by: Campbell, John M.
Published: (2024)
Some New Congruences and Partition-Theoretic Interpretations for the Coefficients of Some Rogers-Ramanujan Type Identities
by: Biswas, Sabi, et al.
Published: (2025)
by: Biswas, Sabi, et al.
Published: (2025)
Special periods and some non-tempered cases of the Gan-Gross-Prasad conjecture
by: Haan, Jaeho, et al.
Published: (2026)
by: Haan, Jaeho, et al.
Published: (2026)
A unified scheme of approach to the Ramanujan conjecture
by: Unterberger, Andre
Published: (2020)
by: Unterberger, Andre
Published: (2020)
On some values which do not belong to the image of Ramanujan's tau-function
by: Goto, Akihiro
Published: (2024)
by: Goto, Akihiro
Published: (2024)
Generalizations of two hypergeometric sums related to conjectures of Guo
by: Jana, Arijit, et al.
Published: (2025)
by: Jana, Arijit, et al.
Published: (2025)
The Ramanujan-Petersson and Selberg conjectures for Maass forms
by: Unterberger, Andr'e
Published: (2020)
by: Unterberger, Andr'e
Published: (2020)
An elementary proof of some Ramanujan-type identities
by: Korolev, M. A.
Published: (2025)
by: Korolev, M. A.
Published: (2025)
On a sign-change conjecture of Schlosser and Zhou
by: Bringmann, Kathrin, et al.
Published: (2024)
by: Bringmann, Kathrin, et al.
Published: (2024)
On the transcendence of some operations of infinite series
by: Ahallal, Sarra, et al.
Published: (2024)
by: Ahallal, Sarra, et al.
Published: (2024)
A linear independence criterion for certain infinite series with polynomial orders
by: Kudo, Shinya
Published: (2024)
by: Kudo, Shinya
Published: (2024)
Proof of a supercongruence conjecture of (F.3) of Swisher using the WZ-method
by: Jana, Arijit, et al.
Published: (2020)
by: Jana, Arijit, et al.
Published: (2020)
Extension of a conjectural supercongruence of (G.3) of Swisher using Zeilberger's algorithm
by: Jana, Arijit, et al.
Published: (2020)
by: Jana, Arijit, et al.
Published: (2020)
On Ramanujan's $q$-Continued Fractions of Order Thirty-Four and Sixty-Eight
by: Sarkar, Dipika, et al.
Published: (2026)
by: Sarkar, Dipika, et al.
Published: (2026)
Hyperbolic summation involving certain arithmetic functions and the integer part function
by: Karras, Meselem
Published: (2024)
by: Karras, Meselem
Published: (2024)
On some determinant conjectures
by: Zhu, Ze-Hua, et al.
Published: (2024)
by: Zhu, Ze-Hua, et al.
Published: (2024)
Similar Items
-
Combinatorial proof of a result on generalized overcubic partitions and related conjectures
by: Ghoshal, Suparno, et al.
Published: (2025) -
Proof of a Conjecture on Overcolored Partition Restricted by Parity of the Parts
by: Hussain, Imdadul, et al.
Published: (2026) -
Further results on arithmetic properties of biregular overpartitions
by: Ghoshal, Suparno, et al.
Published: (2025) -
Proof of a conjecture of Baruah and Sarma on sign patterns of certain infinite products
by: He, Bing, et al.
Published: (2025) -
Sign Patterns and Congruences of certain infinite products involving the Rogers-Ramanujan continued fraction
by: Baruah, Nayandeep Deka, et al.
Published: (2025)