CYCLES, EULERIAN DIGRAPHS AND THE SCHONEMANN-GAUSS THEOREM

Steinlein, Heinrich (2022): CYCLES, EULERIAN DIGRAPHS AND THE SCHONEMANN-GAUSS THEOREM. In: Topological Methods in Nonlinear Analysis, Vol. 59, No. 2A: pp. 569-584

Abstract

In 19th century, Fermat's little theorem a(p) equivalent to a (mod p) for a is an element of Z, p prime was generalized in two directions: Schonemann proved a corresponding congruence for the coefficients of monic polynomials, whereas Gauss found a congruence result with p replaced by any n is an element of N. Here, we shall give an elementary proof of the common generalization of these two results.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1230-3429
• Language: English