Tanay Wakhare
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Tanay Wakhare has a total of 43 co-authors. Here are the top co-authors by number of shared publications:
- Christophe Vignat
Department of Mathematics, Tulane University, New Orleans, USA
17 shared publications - Charles Royal Johnson
Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
3 shared publications - Eric Wityk
Georgia institute of Technology, Atlanta, GA 30332, USA
3 shared publications - Howard S. Cohl
Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, USA
3 shared publications - Roberto S. Costas-Santos
Department of Quantitative Methods, Universidad Loyola Andalucía, 41704 Seville, Spain
3 shared publications - Beáta Bényi
Faculty of Water Sciences, University of Public Service, Baja, Hungary
2 shared publications
Latest Publications
- 20 November 2025
- Published by Springer Nature in The Ramanujan Journal
- Vol. 68 (4) , 113
A divisor generating q-series and cumulants arising from random graphs
- 20 November 2025
- Published by Springer Nature in The Ramanujan Journal
- Vol. 68 (4) , 113
A divisor generating q-series and cumulants arising from random graphs
- 13 January 2025
- Published by Elsevier in Journal of Approximation Theory
- Vol. 307
Iterated entropy derivatives and binary entropy inequalities
- 13 January 2025
- Published by Elsevier in Journal of Approximation Theory
- Vol. 307
Iterated entropy derivatives and binary entropy inequalities
- Open Access
- 1 January 2024
- Published by Association for Computational Linguistics (ACL)
- p. 46-74
Prompts have evil twins
Rimon Melamed, Lucas Hurley McCabe, Tanay Wakhare, Yejin Kim, H. Howie Huang, Enric Boix-Adserà. Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing. 2024.
- 1 January 2024
- Published by Association for Computational Linguistics (ACL)
- p. 46-74
Open AccessPrompts have evil twins
Rimon Melamed, Lucas Hurley McCabe, Tanay Wakhare, Yejin Kim, H. Howie Huang, Enric Boix-Adserà. Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing. 2024.
- Open Access
Infinite matrix products and hypergeometric zeta series
An unpublished identity of Gosper restates a hypergeometric identity for odd zeta values in terms of an infinite product of matrices. We show that this correspondence runs much deeper, and show that many examples of WZ-accelerated series for zeta values lift to infinite matrix products. We also introduce a new matrix subgroup, the Gosper group, which all of our matrix products fall into.
Open AccessInfinite matrix products and hypergeometric zeta series
An unpublished identity of Gosper restates a hypergeometric identity for odd zeta values in terms of an infinite product of matrices. We show that this correspondence runs much deeper, and show that many examples of WZ-accelerated series for zeta values lift to infinite matrix products. We also introduce a new matrix subgroup, the Gosper group, which all of our matrix products fall into.
- 1 September 2022
- Published by Springer Nature in The Ramanujan Journal
- Vol. 59 (4) , 1245-1285
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values
- 1 September 2022
- Published by Springer Nature in The Ramanujan Journal
- Vol. 59 (4) , 1245-1285
Dirichlet series under standard convolutions: variations on Ramanujan’s identity for odd zeta values
- 1 April 2022
- Published by Elsevier in Discrete Mathematics
- Vol. 345 (4)
The inverse eigenvalue problem for linear trees
- 1 April 2022
- Published by Elsevier in Discrete Mathematics
- Vol. 345 (4)
The inverse eigenvalue problem for linear trees
- Open Access
Romik's Conjecture for the Jacobi Theta Function
Dan Romik recently considered the Taylor coefficients of the Jacobi theta function around the complex multiplication point $i$. He then conjectured that the Taylor coefficients $d(n)$ either vanish or are periodic modulo any prime ${p}$; this was proved by the combined efforts of Scherer and Guerzhoy-Mertens-Rolen, who considered arbitrary half integral weight modular forms. We refine previous work for $p \equiv 1 \pmod{4}$ by displaying a concise algebraic relation between $d\left( n+ \frac{p-1}{2} \right)$ and $d(n)$ related to the $p$-adic factorial, from which we can deduce periodicity with an effective period.Open AccessRomik's Conjecture for the Jacobi Theta Function
Dan Romik recently considered the Taylor coefficients of the Jacobi theta function around the complex multiplication point $i$. He then conjectured that the Taylor coefficients $d(n)$ either vanish or are periodic modulo any prime ${p}$; this was proved by the combined efforts of Scherer and Guerzhoy-Mertens-Rolen, who considered arbitrary half integral weight modular forms. We refine previous work for $p \equiv 1 \pmod{4}$ by displaying a concise algebraic relation between $d\left( n+ \frac{p-1}{2} \right)$ and $d(n)$ related to the $p$-adic factorial, from which we can deduce periodicity with an effective period. - Open Access
The Inverse Eigenvalue Problem for Linear Trees
We prove the sufficiency of the Linear Superposition Principle for linear trees, which characterizes the spectra achievable by a real symmetric matrix whose underlying graph is a linear tree. The necessity was previously proven in 2014. This is the most general class of trees for which the inverse eigenvalue problem has been solved. We explore many consequences, including the Degree Conjecture for possible spectra, upper bounds for the minimum number of eigenvalues of multiplicity $1$, and the equality of the diameter of a linear tree and its minimum number of distinct eigenvalues, etc.Open AccessThe Inverse Eigenvalue Problem for Linear Trees
We prove the sufficiency of the Linear Superposition Principle for linear trees, which characterizes the spectra achievable by a real symmetric matrix whose underlying graph is a linear tree. The necessity was previously proven in 2014. This is the most general class of trees for which the inverse eigenvalue problem has been solved. We explore many consequences, including the Degree Conjecture for possible spectra, upper bounds for the minimum number of eigenvalues of multiplicity $1$, and the equality of the diameter of a linear tree and its minimum number of distinct eigenvalues, etc. - Open Access
Dirichlet Series Under Standard Convolutions: Variations on Ramanujan's Identity for Odd Zeta Values
Inspired by a famous identity of Ramanujan, we propose a general formula linearizing the convolution of Dirichlet series as the sum of Dirichlet series with modified weights; its specialization produces new identities and recovers several identities derived earlier in the literature, such as the convolution of squares of Bernoulli numbers by A. Dixit and collaborators, or the convolution of Bernoulli numbers by Y. Komori and collaborators.
Open AccessDirichlet Series Under Standard Convolutions: Variations on Ramanujan's Identity for Odd Zeta Values
Inspired by a famous identity of Ramanujan, we propose a general formula linearizing the convolution of Dirichlet series as the sum of Dirichlet series with modified weights; its specialization produces new identities and recovers several identities derived earlier in the literature, such as the convolution of squares of Bernoulli numbers by A. Dixit and collaborators, or the convolution of Bernoulli numbers by Y. Komori and collaborators.
- 1 September 2021
- Published by Elsevier in Discrete Mathematics
- Vol. 344 (9)
The toughness of Kneser graphs
- 1 September 2021
- Published by Elsevier in Discrete Mathematics
- Vol. 344 (9)
The toughness of Kneser graphs