Arithmetic functions of polynomials

Author:
Eckford Cohen

Journal:
Proc. Amer. Math. Soc. **3** (1952), 352-358

MSC:
Primary 10.0X

DOI:
https://doi.org/10.1090/S0002-9939-1952-0047071-2

MathSciNet review:
0047071

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**[1]**Leonard Carlitz,*On the representation of a polynomial in a Galois field as the sum of an even number of squares*, Trans. Amer. Math. Soc.**35**(1933), no. 2, 397–410. MR**1501692**, https://doi.org/10.1090/S0002-9947-1933-1501692-9**[2]**L. Carlitz,*The singular series for sums of squares of polynomials*, Duke Math. J.**14**(1947), 1105–1120. MR**0023304****[3]**L. Carlitz,*Representations of arithmetic functions in 𝐺𝐹[𝑝ⁿ,𝑥]*, Duke Math. J.**14**(1947), 1121–1137. MR**0023305****[4]**Eckford Cohen,*Sums of an even number of squares in 𝐺𝐹[𝑝ⁿ,𝑥]*, Duke Math. J.**14**(1947), 251–267. MR**0021571****[5]**-,*An extension of Ramanujan's sum*, Duke Math. J. vol. 15 (1949) pp. 85-90.**[6]**Eckford Cohen,*Sums of products of polynomials in a Galois field*, Duke Math. J.**18**(1951), 425–430. MR**0040339**

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DOI:
https://doi.org/10.1090/S0002-9939-1952-0047071-2

Article copyright:
© Copyright 1952
American Mathematical Society