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In the paper we formulate and verify a difference counterpart of the Macdonald-Mehta conjecture and its generalization for the Macdonald polynomials. Namely, we determine the Fourier transforms of the polynomials multiplied by the Gaussian,…

q-alg · Mathematics 2008-02-03 Ivan Cherednik

Jaramillo et al. (2018) (hereafter JMR1) asserted that our theory, henceforth known as CIAD (condensation-induced atmospheric dynamics), modifies the equation of vertical motion in a manner that violates Newton's third law. Jaramillo et al.…

Atmospheric and Oceanic Physics · Physics 2020-06-23 A. M. Makarieva , A. D. Nobre , A. V. Nefiodov , D. Sheil , P. Nobre , B. -L. Li

We point out that the recursive formula that appears in Erickson's presentation "Fusible Numbers" is incorrect, and pose an alternate conjecture about the structure of fusible numbers. Although we are unable to solve the conjecture, we…

Combinatorics · Mathematics 2012-02-28 Junyan Xu

This paper has been withdrawn by the author due to some error in the result

Functional Analysis · Mathematics 2010-11-23 Daewon Chung

This paper has been withdrawn by the authors, due a crucial error.

Dynamical Systems · Mathematics 2008-02-03 Nandor Simanyi , Domokos Szasz

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

Spectral Theory · Mathematics 2007-05-23 Raphael Ponge

We describe a conceptually simple, but important test for the overlap approach to the construction of lattice chiral gauge theories. We explain the equivalence of the overlap formula with a certain waveguide model for a simple set of gauge…

High Energy Physics - Lattice · Physics 2009-10-28 Maarten Golterman , Yigal Shamir

This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.

Functional Analysis · Mathematics 2008-09-16 Swagato K. Ray , Rudra P. Sarkar

It is shown that the arguments in the reply of Z.-D. Zhang (arXiv:0812.0194) to the comment arXiv:0811.1802 defending his conjectures in arXiv:0705.1045 are invalid. His conjectures have been thoroughly disproved.

Statistical Mechanics · Physics 2011-09-14 Jacques H. H. Perk

This paper has been withdrawn, as all conjectures (and one claim) have been proven incorrect. Some of what remains may eventually reappear in a different context.

Quantum Physics · Physics 2007-05-23 H. M. Wiseman , B. L. Hollis

We point out that the claim of strong universality in the paper J.Phys. A 44, 015002, arXiv:1011.3321 is incorrect, as it contradicts known rigorous results.

Statistical Mechanics · Physics 2011-03-30 Aernout C. D. van Enter , Silvano Romano , Valentin A. Zagrebnov

The article provides a counterexample to a conjecture by Blocki-Zwonek.

Complex Variables · Mathematics 2015-07-20 John Erik Fornæss

It is shown that the analysis and the main result of the article by L-A. Wu [Phys. Rev. A 53, 2053 (1996)] are completely erroneous.

Quantum Physics · Physics 2009-10-30 Ali Mostafazadeh

We give here direct proof of a recent conjecture of Jauregui and Tsallis about a new representation of Dirac's delta distribution by means of q-exponentials. The proof is based in the use of tempered ultradistributions' theory.

Mathematical Physics · Physics 2015-05-20 A. Plastino , M. C. Rocca

In this comment we show that the experimental results for a universally valid uncertainty relation in ref.[J. Erhart et al. Nat. Phys.(2012)10.1038/nphys2194]cannot be justified. The experiments cannot be recognized to establish a violation…

Quantum Physics · Physics 2012-03-20 Yoshimasa Kurihara

This paper has been withdrawn by the author because Proposition 1 is not valid.

Number Theory · Mathematics 2016-03-22 Ping Xi

A famous conjecture bearing the name of Vandiver states that $p \nmid h_p^+$ in the $p$ - cyclotomic extension of $\Q$. Heuristics arguments of Washington, which have been briefly exposed in Lang (1978), p. 261 and Washington (1996), p. 158…

Number Theory · Mathematics 2012-10-30 Preda Mihăilescu

This paper has been withdrawn by the author due to a crucial argument error at p.10.

Commutative Algebra · Mathematics 2007-05-23 Susumu Oda

Keller and Wadsley (2016) have smugly suggested, recently, that the end of MOND may be in view. This is based on their claim that their highly-restricted sample of $\Lambda$CDM-simulated galaxies are "consistent" with the observed MOND…

Astrophysics of Galaxies · Physics 2016-10-25 Mordehai Milgrom

This note is an erratum to the paper "Tautological classes on moduli spaces of hyper-K\"ahler manifolds." Thorsten Beckman and Mirko Mauri have pointed to us a gap in the proof of \cite[Theorem 8.2.1]{Duke}. We do not know how to correct…

Algebraic Geometry · Mathematics 2021-05-28 Nicolas Bergeron , Zhiyuan Li