Geodesic
On some properties of functions characterized by zero integrals
Matematičeskoe obrazovanie, Tome 100 (2021) no. 4, pp. 38-48

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The article introduces the reader to studying a class of functions that have zero integrals over all squares of a fixed size, lying in a given circle. A criterion for the total differential in a strengthened form is given, as well as generalizations of other classical results related to zero integrals are considered. 
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     author = {V. V. Volchkov and Vit. V. Volchkov and N. P. Volchkova},
     title = {On some properties of functions  characterized by zero integrals},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {38--48},
     publisher = {mathdoc},
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     number = {4},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/MO_2021_100_4_a6/}
}
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V. V. Volchkov; Vit. V. Volchkov; N. P. Volchkova. On some properties of functions  characterized by zero integrals. Matematičeskoe obrazovanie, Tome 100 (2021) no. 4, pp. 38-48. http://geodesic.mathdoc.fr/item/MO_2021_100_4_a6/