Results 1 to 10 of about 125,991 (167)
The partition function of a degenerate functional [PDF]
Communications in Mathematical Physics, 1979 The partition function of a degenerate quadratic functional is defined and studied. It is shown that Ray-Singer invariants can be interpreted as partition functions of quadratic functionals. In the case of a degenerate non-quadratic functional the semiclassical approximation to the partition function is considered.
A S Schwarz, Schwarz A S
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Congruences modulo prime for fractional colour partition function [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – Let p[1,r;t] be defined by ∑n=0∞p[1,r;t](n)qn=(E1Er)t, where t is a non-zero rational number, r ≥ 1 is an integer and Er=∏n=0∞(1−qr(n+1)) for |q|
Riyajur Rahman, Nipen Saikia
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SOME RESULTS ON ORDERED AND UNORDERED FACTORIZATION OF A POSITIVE INTEGER [PDF]
Journal of Algebraic Systems, 2023 A well-known enumerative problem is to count the number of ways a positive integer $n$ can be factorised as $n=n_1\times n_2\times\cdots\times n_{k}$, where $n_1\geqslant n_2 \geqslant \cdots \geqslant n_{k} >1$.
Daniel Yaqubi, Madjid Mirzavaziri
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Calculation of the Free Energy of the Ising Model on a Cayley Tree via the Self-Similarity Method
Axioms, 2022 In this study, an interactive Ising model having the nearest and prolonged next-nearest neighbors defined on a Cayley tree is considered. Inspired by the results obtained for the one-dimensional Ising model, we will construct the partition function and ...
Hasan Akın
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Frontiers in Physics, 2022 By employing the extended Nikiforov–Uvarov (ENU) method, we solved the radial Schrodinger equation with the shifted screened Kratzer potential model.
Nuhu Ibrahim +4 more
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On Stanley's Partition Function [PDF]
The Electronic Journal of Combinatorics, 2010 Stanley defined a partition function $t(n)$ as the number of partitions $\lambda$ of $n$ such that the number of odd parts of $\lambda$ is congruent to the number of odd parts of the conjugate partition $\lambda'$ modulo $4$. We show that $t(n)$ equals the number of partitions of $n$ with an even number of hooks of even length.
William Y. C. Chen +2 more
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Entropy, 2020 The vibrational and rovibrational partition functions of diatomic molecules are considered in the regime of intermediate temperatures. The low temperatures are those at which the harmonic oscillator approximation is appropriate, and the high temperatures
Marcin Buchowiecki
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SciPost Physics, 2022 We discuss integrable aspects of the logarithmic contribution of the partition function of cosmological critical topologically massive gravity. On one hand, written in terms of Bell polynomials which describe the statistics of set partitions, the ...
Yannick Mvondo-She
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Classical Partition Function for Non-Relativistic Gravity
Axioms, 2021 We considered the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution e−βHZ. It is popularly thought that it cannot be built up because the integral involved in constructing Z diverges at the origin.
Mir Hameeda +3 more
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Partition functions of higher derivative conformal fields on conformally related spaces
Journal of High Energy Physics, 2021 The character integral representation of one loop partition functions is useful to establish the relation between partition functions of conformal fields on Weyl equivalent spaces.
Jyotirmoy Mukherjee
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