Journal of Number Theory

Congruences for <math xmlns:mml=”http://www.w3.org/1998/Math/MathML” altimg=”si1.svg” class=”math”><msub><mrow><mover accent=”true”><mrow><mi mathvariant=”normal”>spt</mi></mrow><mo>‾</mo></mover></mrow><mrow><mi>ω</mi></mrow></msub><mo stretchy=”false”>(</mo><mi>n</mi><mo stretchy=”false”>)</mo></math> modulo powers of primes

Publication date: Available online 28 February 2022Source: Journal of Number TheoryAuthor(s): Renrong Mao

By ScienceDirect Publication: Journal of Number Theory, ago

On the solutions of the Diophantine equation <math xmlns:mml=”http://www.w3.org/1998/Math/MathML” altimg=”si1.svg” class=”math”><msub><mrow><mi>F</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>±</mo><mfrac><mrow><mi>a</mi><mo stretchy=”false”>(</mo><msup><mrow><mn>10</mn></mrow><mrow><mi>m</mi></mrow></msup><mo linebreak=”badbreak” linebreakstyle=”after”>−</mo><mn>1</mn><mo stretchy=”false”>)</mo></mrow><mrow><mn>9</mn></mrow></mfrac><mo linebreak=”goodbreak” linebreakstyle=”after”>=</mo><mi>k</mi><mo>!</mo></math>

Publication date: Available online 31 January 2022Source: Journal of Number TheoryAuthor(s): Kouèssi Norbert Adédji, Florian Luca, Alain Togbé

By ScienceDirect Publication: Journal of Number Theory, ago