Results 21 to 30 of about 1,082,587 (269)
ON FIELD THEORIES WITH AN INFINITE NUMBER OF FIELDS [PDF]
International Journal of Modern Physics A, 1998 A toy model with an infinite number of interacting fermions in four-dimensional space–time is analyzed. We find that the model is finite at any order in perturbation theory. However, perturbation theory is valid only for external momenta smaller than [Formula: see text], where λ is the coupling constant.
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The Class Number of the Cyclotomic Field [PDF]
Proceedings of the National Academy of Sciences, 1949 Let g denote an odd prime, and h = h(g) the class number of the cyclotomic field R(), where is a primitive gth root of unity. It is known that we can write
Ankeny, Nesmith C., Chowla, Sarvadaman
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On factor refinement in number fields [PDF]
Mathematics of Computation, 1999 Let O \mathcal O be an order of an algebraic number field.
Buchmann, J., Eisenbrand, F.
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Journal de théorie des nombres de Bordeaux, 2017 Let K be a number field, A be its ring of integers and p be a prime number.
Ayad, Mohamed +2 more
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Mathematics, 2021 In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function τ, and the generalized function τ in algebraic number fields.
Nicuşor Minculete, Diana Savin
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BETTI NUMBERS OF GAUSSIAN FIELDS [PDF]
Journal of The Korean Astronomical Society, 2013 We present the relation between the genus in cosmology and the Betti numbers for excursion sets of three- and two-dimensional smooth Gaussian random fields, and numerically investigate the Betti numbers as a function of threshold level. Betti numbers are topological invariants of figures that can be used to distinguish topological spaces.
Park, Changbom +8 more
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The Hecke Group Hλ4 Acting on Imaginary Quadratic Number Fields
Journal of Mathematics, 2021 Let Hλ4 be the Hecke group x,y:x2=y4=1 and, for a square-free positive integer n, consider the subset ℚ∗−n=a+−n/c|a,b=a2+n/c∈ℤ, c∈2ℤ of the quadratic imaginary number field ℚ−n.
Abdulaziz Deajim
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Parallel machine arithmetic for recurrent number systems in non-quadratic fields [PDF]
Компьютерная оптика, 2020 The paper proposes a new method of synthesis of computer arithmetic systems for "error-free" parallel calculations. The difference between the proposed approach and calculations in traditional systems of Residue Number Systems for the direct sum of ...
Vladimir Chernov
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Bipowers in Number Fields [PDF]
Proceedings of the American Mathematical Society, 1985 The set of all solutions to the Fermat equation is given a structure. This structure is then characterized up to isomorphism in terms of certain subsets of the integers modulo a prime.
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ON WEIL NUMBERS IN CYCLOTOMIC FIELDS [PDF]
International Journal of Number Theory, 2009 In this paper, we study the p-adic behavior of Weil numbers in the cyclotomic ℤp-extension of the pth cyclotomic field. We determine the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in the Iwasawa theory.
Anglès, Bruno, Beliaeva, Tatiana
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