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Assertions on the congruence
f(x) + g(y) + c ≡ 0 (mod xy)
made without proof by Mordell in his paper in Acta Math. 88 (1952) are either proved or disproved.
A. Schinzel. "On the congruence f(x) + g(y) + c ≡ 0 (mod xy) (completion of Mordell's proof)." Acta Arithmetica 167.4 (2015): 347-374. <http://eudml.org/doc/279197>.
@article{A2015, abstract = {
Assertions on the congruence
f(x) + g(y) + c ≡ 0 (mod xy)
made without proof by Mordell in his paper in Acta Math. 88 (1952) are either proved or disproved.
}, author = {A. Schinzel}, journal = {Acta Arithmetica}, keywords = {congruence; equation; polynomial; recurrence}, language = {eng}, number = {4}, pages = {347-374}, title = {On the congruence f(x) + g(y) + c ≡ 0 (mod xy) (completion of Mordell's proof)}, url = {http://eudml.org/doc/279197}, volume = {167}, year = {2015}, }
TY - JOUR AU - A. Schinzel TI - On the congruence f(x) + g(y) + c ≡ 0 (mod xy) (completion of Mordell's proof) JO - Acta Arithmetica PY - 2015 VL - 167 IS - 4 SP - 347 EP - 374 AB -
Assertions on the congruence
f(x) + g(y) + c ≡ 0 (mod xy)
made without proof by Mordell in his paper in Acta Math. 88 (1952) are either proved or disproved.
LA - eng KW - congruence; equation; polynomial; recurrence UR - http://eudml.org/doc/279197 ER -