Kummer congruences
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11—20 of 76 matching pages
11: Bibliography P
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A Kummer-type transformation for a hypergeometric function.
J. Comput. Appl. Math. 173 (2), pp. 379–382.
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Voronoi type congruences for Bernoulli numbers.
In Voronoi’s Impact on Modern Science. Book I, P. Engel and H. Syta (Eds.),
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12: Morris Newman
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►Department of Commerce Gold Medal in 1966 for his work on algorithms for solving integral linear systems exactly by using congruence techniques.
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13: 8.5 Confluent Hypergeometric Representations
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►For the confluent hypergeometric functions , , , and the Whittaker functions and , see §§13.2(i) and 13.14(i).
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8.5.1
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8.5.2
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8.5.3
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14: 13.1 Special Notation
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►The main functions treated in this chapter are the Kummer functions and , Olver’s function , and the Whittaker functions and .
►Other notations are: (§16.2(i)) and (Humbert (1920)) for ; (Erdélyi et al. (1953a, §6.5)) for ; (Olver (1997b, p. 256)) for ; (Buchholz (1969, p. 12)) for .
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15: Bibliography
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Congruences of -adic integer order Bernoulli numbers.
J. Number Theory 59 (2), pp. 374–388.
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Numerical evaluation of the Kummer function with complex argument by the trapezoidal rule.
Rend. Sem. Mat. Univ. Politec. Torino 49 (3), pp. 315–327.
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Congruences for the -secant numbers.
European J. Combin. 1 (4), pp. 283–287.
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16: 13.32 Software
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17: 13.10 Integrals
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§13.10(i) Indefinite Integrals
… ►§13.10(ii) Laplace Transforms
… ►§13.10(iii) Mellin Transforms
… ►§13.10(iv) Fourier Transforms
… ► …18: 27.15 Chinese Remainder Theorem
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►The Chinese remainder theorem states that a system of congruences
, always has a solution if the moduli are relatively prime in pairs; the solution is unique (mod ), where is the product of the moduli.
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