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ASYMPTOTIC FORMULAE
, 2004
"... ABSTRACT. Let ts,n be the nth positive integer number which can be written as a power p t, t ≥ s, of a prime p (s ≥ 1 is fixed). Let πs(x) denote the number of prime powers p t, t ≥ s, not exceeding x. We study the asymptotic behaviour of the sequence ts,n and of the function πs(x). We prove that t ..."
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ABSTRACT. Let ts,n be the nth positive integer number which can be written as a power p t, t ≥ s, of a prime p (s ≥ 1 is fixed). Let πs(x) denote the number of prime powers p t, t ≥ s, not exceeding x. We study the asymptotic behaviour of the sequence ts,n and of the function πs(x). We prove
An asymptotic formula for models with caustics
, 2008
"... We introduce an asymptotic formula for calculating quantum mechanical and quantum theoretical models with caustics, like the Nambu–JonaLasinio(NJL) model. This asymptotic formula is given by the form attached the extra term, which suppresses the divergence induced because of caustics, to the leadin ..."
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We introduce an asymptotic formula for calculating quantum mechanical and quantum theoretical models with caustics, like the Nambu–JonaLasinio(NJL) model. This asymptotic formula is given by the form attached the extra term, which suppresses the divergence induced because of caustics
Asymptotic Formulae for Partition Ranks
, 2014
"... Using an extension of Wright’s version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F. Dyson and recently proved by the first author and K. Bringmann. 1 Introduction and statement of results A partition of ..."
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Using an extension of Wright’s version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F. Dyson and recently proved by the first author and K. Bringmann. 1 Introduction and statement of results A partition
AN ASYMPTOTIC FORMULA FOR THE COEFFICIENTS OF j(z)
, 2012
"... We obtain a new proof of an asymptotic formula for the coefficients of the jinvariant of elliptic curves. Our proof does not use the circle method. We use Laplace’s method of steepest descent and the Hardy–Ramanujan asymptotic formula for the partition function. (The latter asymptotic formula can b ..."
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Cited by 1 (0 self)
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We obtain a new proof of an asymptotic formula for the coefficients of the jinvariant of elliptic curves. Our proof does not use the circle method. We use Laplace’s method of steepest descent and the Hardy–Ramanujan asymptotic formula for the partition function. (The latter asymptotic formula can
Asymptotic formulas for the eigenvalues of the Timoshenko beam
 Journal of Mathematical Analysis and Applications
"... Asymptotic formulas are derived for the eigenvalues of a freeended Timoshenko beam which has variable mass density and constant beam parameters otherwise. These asymptotic formulas show how the eigenvalues (and hence how the natural frequencies) of such a beam depend on the material and geometric ..."
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Cited by 9 (0 self)
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Asymptotic formulas are derived for the eigenvalues of a freeended Timoshenko beam which has variable mass density and constant beam parameters otherwise. These asymptotic formulas show how the eigenvalues (and hence how the natural frequencies) of such a beam depend on the material and geo
VORONOVSKAYA TYPE ASYMPTOTIC FORMULA FOR
"... Abstract. In the present paper, we study some direct results in simultaneous approximation for linear combinations of LupaşBeta type operators. 1. ..."
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Abstract. In the present paper, we study some direct results in simultaneous approximation for linear combinations of LupaşBeta type operators. 1.
Results 1  10
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