Content deleted Content added
Barçaforlife (talk | contribs) |
Fabrickator (talk | contribs) add wikilinks for Ramaswamy S. Vaidyanathaswamy |
||
Line 156:
for <math>k=0</math>. S. Chowla gave the inverse form for general <math>k</math> in 1929, see P. J. McCarthy (1986). The study of Busche-Ramanujan identities begun from an attempt to better understand the special cases given by Busche and Ramanujan.
It is known that quadratic functions <math>f=g_1\ast g_2</math> satisfy the Busche-Ramanujan identities with <math>f_A=g_1g_2</math>. Quadratic functions are exactly the same as specially multiplicative functions. Totients satisfy a restricted Busche-Ramanujan identity. For further details, see [[Ramaswamy S. Vaidyanathaswamy|R. Vaidyanathaswamy]] (1931).
==Multiplicative function over {{math|''F''<sub>''q''</sub>[''X'']}}==
Line 298:
*{{cite journal
|author=R. Vaidyanathaswamy
|author-link=Ramaswamy S. Vaidyanathaswamy
|title=The theory of multiplicative arithmetic functions
|journal=Transactions of the American Mathematical Society
| |||