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Keyword

multiplicative functions

Description: Arithmetic functions on integers whose value on a product of coprime integers equals the product of their values.
Wikidata ID: wiki/Q1048447
OpenAlex ID: keywords/multiplicative-functions
Elementary Number Theory and Its Applications.
1987 · S. S. Wagstaff, Kenneth H. Rosen · Mathematics of Computation · 837
Multiplicative Number Theory I: Classical Theory
2006 · Hugh L. Montgomery, R. C. Vaughan · CERN Document Server (European Organization for Nuclear Research) · 644
Modular Forms and Functions
1977 · Robert A. Rankin · Cambridge University Press eBooks · 465
Multiplicative Number Theory
1970 · Enrico Bombieri · Bulletin of the London Mathematical Society · 357
Multiplicative functions on the lattice of non-crossing partitions and free convolution
1994 · Roland Speicher · Mathematische Annalen · 304
The Problem of S. M. Ulam for Approximately Multiplicative Mappings
2000 · Themistocles M. Rassias · Journal of Mathematical Analysis and Applications · 284
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Handbook of number theory
1996 · D. S. Mitrinović, József Sándor, et al. · CERN Document Server (European Organization for Nuclear Research) · 272
Introduction to Arithmetical Functions
1986 · Paul J. McCarthy · Universitext · 264
When are Multiplicative Mappings Additive?
1969 · Wallace S. Martindale · Proceedings of the American Mathematical Society · 259
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Decreasing Multicollinearity
1979 · Kent W. Smith, M.S. Sasaki · Sociological Methods & Research · 228
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A Brun-Titschmarsh theorem for multiplicative functions.
1980 · P. Shiu · Journal für die reine und angewandte Mathematik (Crelles Journal) · 207
Handbook of Number Theory II
2004 · J. Sándor, B. Crstici · Springer eBooks · 202
Das asymptotische Verhalten von Summen �ber multiplikative Funktionen
1961 · Eduard Wirsing · Mathematische Annalen · 195
On the Distribution Function of Additive Functions
1946 · P. Erdos · Annals of Mathematics · 185
Exponential sums with multiplicative coefficients
1977 · H. L. Montgomery, R. C. Vaughan · Inventiones mathematicae · 165
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On Highly Composite and Similar Numbers
1944 · L. Alaoglu, P. Erdös · Transactions of the American Mathematical Society · 157
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Multiplicative functions in short intervals
2016 · Kaisa Matomäki, Maksym Radziwiłł · Annals of Mathematics · 153
A Course in Number Theory
1995 · H E Rose · 152
Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
1967 · E. Wirsing · Acta Mathematica Academiae Scientiarum Hungaricae · 140
ON THE NORMAL NUMBER OF PRIME FACTORS OF p-1 AND SOME RELATED PROBLEMS CONCERNING EULER'S ø-FUNCTION
1935 · PAUL ERDóS · The Quarterly Journal of Mathematics · 136
The Functional Equationf (t) f (s) g (ts)=g (t) g (s)
1970 · R. Larsen · Aequationes Mathematicae · 130
The logarithm of the dedekind ?-function
1987 · Michael Atiyah · Mathematische Annalen · 120
Arithmetical Functions
1970 · K. Chandrasekharan · Springer eBooks · 110
Arithmetical properties of generalized Ramanujan sums
1972 · Tom M. Apostol · Pacific Journal of Mathematics · 108
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On Euler’s totient function
1932 · D. H. Lehmer · Bulletin of the American Mathematical Society · 107
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Works count: 3,915
Citation count: 21,810
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