multiplicative%20number%20theory
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1: 27.2 Functions
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§27.2(i) Definitions
… ►Euclid’s Elements (Euclid (1908, Book IX, Proposition 20)) gives an elegant proof that there are infinitely many primes. … ►This is the number of positive integers that are relatively prime to ; is Euler’s totient. … ► … ►§27.2(ii) Tables
…2: Bibliography D
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Multiplicative Number Theory.
3rd edition, Graduate Texts in Mathematics, Vol. 74, Springer-Verlag, New York.
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Elements of the Theory of Numbers.
Harcourt/Academic Press, San Diego, CA.
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History of the Theory of Numbers (3 volumes).
Carnegie Institution of Washington, Washington, D.C..
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Sums of products of Bernoulli numbers.
J. Number Theory 60 (1), pp. 23–41.
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Bernoulli Numbers and Confluent Hypergeometric Functions.
In Number Theory for the Millennium, I (Urbana, IL, 2000),
pp. 343–363.
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3: Bibliography K
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Replica field theories, Painlevé transcendents, and exact correlation functions.
Phys. Rev. Lett. 89 (25), pp. (250201–1)–(250201–4).
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Remark on -adic -Bernoulli numbers.
Adv. Stud. Contemp. Math. (Pusan) 1, pp. 127–136.
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Neue Untersuchungen einer Reihe aus der Theorie der elliptischen Funktionen.
Journal für die Reine und Angenwandte Mathematik 158, pp. 209–218 (German).
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Theorie und Anwendung der unendlichen Reihen.
4th edition, Die Grundlehren der mathematischen Wissenschaften, Band 2, Springer-Verlag, Berlin-Heidelberg (German).
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Zur Theorie der Modulformen -ten Grades. I.
Math. Z. 59, pp. 399–416 (German).
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4: Bibliography M
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The Theory of Groups.
Clarendon Press, Oxford.
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Computational Algebra Group, School of Mathematics and Statistics, University of Sydney, Australia.
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Zur Theorie des zylindrisch-parabolischen Spiegels.
Z. Physik 118, pp. 343–356 (German).
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Loud Speakers: Theory, Performance, Testing and Design.
Oxford University Press, New York.
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On the evaluation of some multiple series.
J. London Math. Soc. (2) 33, pp. 368–371.
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5: Bibliography
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Congruences of -adic integer order Bernoulli numbers.
J. Number Theory 59 (2), pp. 374–388.
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-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra.
CBMS Regional Conference Series in Mathematics, Vol. 66, Amer. Math. Soc., Providence, RI.
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Number Theory.
In The New Encyclopaedia Britannica,
Vol. 25, pp. 14–37.
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Modular Functions and Dirichlet Series in Number Theory.
2nd edition, Graduate Texts in Mathematics, Vol. 41, Springer-Verlag, New York.
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A Centennial History of the Prime Number Theorem.
In Number Theory,
Trends Math., pp. 1–14.
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