Proceedings of the (Paperback) - 5 Angebote vergleichen
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1
Proceedings of the (2012)
EN PB NWISBN: 9781130399141 bzw. 1130399141, in Englisch, 68 Seiten, RareBooksClub.com, Taschenbuch, neu.
Neu ab: $19.99 (6 Angebote)
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Lieferung aus: Vereinigte Staaten von Amerika, Usually ships in 24 hours.
Von Händler/Antiquariat, Amazon.com.
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1892 Excerpt: ...by elementary methods for the particular case above given; there would be no particular difficulty in treating the other cases in a similar manner. 162 Prof. G. B. Mathews on Dirichlet's Formula, fyc. Jan. 14, Comparing this with the expression for h, and observing that, for a complete set of residues, 2 (--) = 0, so that G need not be determined, To / we find that 0 = 1,3... (m-1). If a stands for a quadratic residue of m, and 6 for a non-residue, we may write n /»(tt + j3t)g la(a-Pi)K V m / m I feIog. = Iogn b(a + fti)K U(b(a-MK J' It is interesting to see that we. thus obtain, inan elliptic function form, an expression for NmTk+VhJD), where (T», Z7A) is a solution of 2TM--DJ72 = 1. Objections might no doubt be raised to the details of the preceding analysis; in fact, it cannot be said to be rigorous; still I believe the result is correct, and that the process may be justified to some extent by observing that the transcendental series equated to each other present exactly the same kind of discontinuities at the same critical points. It ought to be said that the series for h in its first form is similar to those considered by Kronecker (Berlin Sitzungsber., July, 1885), so that the result finally obtained ought to agree with his results iI.e., p. 764); but, on account of tbe difference of notation, and the fact that Dirichlet's X, v do not agree with Kronecker's m, n, the identification is very troublesome. Anyone who is inclined to undertake a numerical verification might consult with advantage Schwering's memoir on the "Multiplication of the Lemniscate Function" (Grelle, cvn., p. 196); it should be observed, however, that Schwering's sn u does not correspond to the snw of the present note, but is Gauss's sinlemn u. Thursday, February ... Paperback, Label: RareBooksClub.com, RareBooksClub.com, Produktgruppe: Book, Publiziert: 2012-03-06, Studio: RareBooksClub.com.
Von Händler/Antiquariat, Amazon.com.
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1892 Excerpt: ...by elementary methods for the particular case above given; there would be no particular difficulty in treating the other cases in a similar manner. 162 Prof. G. B. Mathews on Dirichlet's Formula, fyc. Jan. 14, Comparing this with the expression for h, and observing that, for a complete set of residues, 2 (--) = 0, so that G need not be determined, To / we find that 0 = 1,3... (m-1). If a stands for a quadratic residue of m, and 6 for a non-residue, we may write n /»(tt + j3t)g la(a-Pi)K V m / m I feIog. = Iogn b(a + fti)K U(b(a-MK J' It is interesting to see that we. thus obtain, inan elliptic function form, an expression for NmTk+VhJD), where (T», Z7A) is a solution of 2TM--DJ72 = 1. Objections might no doubt be raised to the details of the preceding analysis; in fact, it cannot be said to be rigorous; still I believe the result is correct, and that the process may be justified to some extent by observing that the transcendental series equated to each other present exactly the same kind of discontinuities at the same critical points. It ought to be said that the series for h in its first form is similar to those considered by Kronecker (Berlin Sitzungsber., July, 1885), so that the result finally obtained ought to agree with his results iI.e., p. 764); but, on account of tbe difference of notation, and the fact that Dirichlet's X, v do not agree with Kronecker's m, n, the identification is very troublesome. Anyone who is inclined to undertake a numerical verification might consult with advantage Schwering's memoir on the "Multiplication of the Lemniscate Function" (Grelle, cvn., p. 196); it should be observed, however, that Schwering's sn u does not correspond to the snw of the present note, but is Gauss's sinlemn u. Thursday, February ... Paperback, Label: RareBooksClub.com, RareBooksClub.com, Produktgruppe: Book, Publiziert: 2012-03-06, Studio: RareBooksClub.com.
2
Proceedings of the (2012)
EN PB NWISBN: 9781130399141 bzw. 1130399141, in Englisch, 68 Seiten, RareBooksClub.com, Taschenbuch, neu.
Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Usually dispatched within 1-2 business days.
Von Händler/Antiquariat, BOOKS etc.
This historic book may have numerous typos and missing text. Purchasers can download a free scanned.... Paperback, Label: RareBooksClub.com, RareBooksClub.com, Produktgruppe: Book, Publiziert: 2012-03-06, Freigegeben: 2012-03-06, Studio: RareBooksClub.com.
Von Händler/Antiquariat, BOOKS etc.
This historic book may have numerous typos and missing text. Purchasers can download a free scanned.... Paperback, Label: RareBooksClub.com, RareBooksClub.com, Produktgruppe: Book, Publiziert: 2012-03-06, Freigegeben: 2012-03-06, Studio: RareBooksClub.com.
3
Proceedings of the (2012)
EN NWISBN: 9781130399141 bzw. 1130399141, in Englisch, 68 Seiten, Rarebooksclub.com, neu.
Lieferung aus: Frankreich, Expédition sous 1 à 2 jours ouvrés.
Von Händler/Antiquariat, Book Depository FR.
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4
Proceedings of the (2012)
EN NWISBN: 9781130399141 bzw. 1130399141, in Englisch, 68 Seiten, RareBooksClub.com, neu.
Lieferung aus: Spanien, Normalmente se envía en el plazo de 1-2 días laborable.
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Von Händler/Antiquariat, The_Book_Depository_ES.
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5
Proceedings of the (2012)
EN NWISBN: 9781130399141 bzw. 1130399141, in Englisch, 68 Seiten, Rarebooksclub.com, neu.
Lieferung aus: Italien, Generalmente spedito in 1-2 giorni lavorativi.
Von Händler/Antiquariat, The_Book_Depository_IT.
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