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Q3. Prove that if kx = ky (mod m), then x = y (mod m/d) where d = g Q4. Find the remainder when 5(1999!) - 3(1997!) is divided by 2003. Q5. A. Prove that, if g is multiplicative function and G is defined by G(m): then G is also multiplicative. B. Write the Mobius Inversion formula for o(n) and verify it for n = 42 =

Q3. Prove that if kx = ky (mod m), then x = y (mod m/d) where d = g Q4. Find the remainder when 5(1999!) - 3(1997!) is divided by 2003. Q5. A. Prove that, if g is multiplicative function and G is defined by G(m): then G is also multiplicative. B. Write the Mobius Inversion formula for o(n) and verify it for n = 42 =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q3. Prove that if kx ky (mod m) , then x = y (mod m/d) where d = g e Q4. Find the remainder when 5(1999!) – 3(1997!) is divided by 2003. Q5. A. Prove that, if g is multiplicative function and G is defined by G(m) = ) then G is also multiplicative. B. Write the Mobius Inversion formula for o(n) and verify it for n = 42
Transcribed Image Text:Q3. Prove that if kx ky (mod m) , then x = y (mod m/d) where d = g e Q4. Find the remainder when 5(1999!) – 3(1997!) is divided by 2003. Q5. A. Prove that, if g is multiplicative function and G is defined by G(m) = ) then G is also multiplicative. B. Write the Mobius Inversion formula for o(n) and verify it for n = 42
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