Results 31 to 40 of about 3,558,031 (100)
A New Construction of Ewell's Octuple Product Identity [PDF]
, 2013 [[abstract]]In this article, we establish an octuple product identity motivated by the work of Carlitz and Subbarao in which they use Jacobi`s triple product identity only to prove the quintuple product identity nd Winquist`s identity. Our work turns out
Chen, Sin-Da; Chen, Wei-Yueh; Huang, Sen-Shan
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Annalen der Physik, Volume 538, Issue 8, August 2026.ABSTRACT The unification of quantum mechanics and general relativity remains a central problem in fundamental physics. Here, we study the gravitomagnetic Aharonov–Bohm (AB) effect for Cooper pairs in Kerr spacetime. Frame‐dragging by a rotating black hole (BH) generates an effective vector potential through the off‐diagonal metric term gtϕ$g_{t\phi }$,
Erdem Sucu, İzzet Sakallı
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On Watson's quintuple product identity [PDF]
, 1970 In 1929, in the course of proving certain results stated by Ramanujan concerning his continued fraction, G.N. Watson proved an identity involving five infinite products and an infinite series.
Subbarao, M. V., Vidyasagar, M.
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A Semi-Finite Proof of Jacobi′s Triple Product Identity
The American Mathematical Monthly, 2015 2 pages, 0 ...
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Cooperative and Non‐Cooperative Solutions in a Dynamic Model of Forest Management
Natural Resource Modeling, Volume 39, Issue 3, August 2026.ABSTRACT This study develops a deterministic finite‐horizon bioeconomic control model linking forest biomass, biodiversity, cumulative harvesting pressure, and disturbance‐motivated expected biodiversity losses. Biodiversity is modeled as a productive state variable that feeds back into biomass growth, while cumulative harvesting pressure records the ...
Seyedalireza Seyedi +2 more
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New Proofs of Jacobi's Identity [PDF]
, 2013 [[abstract]]In this paper, we give two new proofs for Jacobi’s identity by using Jacobi’s triple product identity and rearrangements of infinite ...
Huang, Sen-Shan; Lu, Chein-Ming
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Truncated theta series related to the Jacobi Triple Product identity
Discrete MathematicsThe work of Andrews and Merca on the truncated Euler's pentagonal number theorem led to a resurgence in research on truncated theta series identities. In particular, Yee proved a truncated version of the Jacobi Triple Product (JTP) identity. Recently, Merca conjectured a stronger form of the truncated JTP identity.
Cristina M. Ballantine, Brooke Feigon
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On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
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Abel-Rothe Type Generalizations of Jacobi's Triple Product Identity [PDF]
, 2005 14 pages, mistake in appendix corrected; to appear in "Theory and Applications of Special Functions, A volume dedicated to Mizan Rahman", M. E. H. Ismail and E.
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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