List questions from exponential-sum

Published on 26 Apr 2021 - 19:34

153

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Absolute value of the theta function on the unit nome

Published on 26 Mar 2026 - 16:05

43

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Modified exponential summation

Published on 11 May 2021 - 4:52

274

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For which $r \in \mathbb R$ is the series $S(r)$ finite?

Published on 18 Jun 2021 - 10:44

263

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What is $\sum_{i = 1}^n i^i$? How about $\sum_{i = 1} ^ n i ^ {1/i}$?

Published on 01 Jul 2021 - 19:33

25

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Real numbers non linear equations system with exponentials

Published on 07 Jul 2021 - 14:40

110

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Exponential sums and Partial fractions

Published on 18 Aug 2021 - 19:55

51

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Does this sum have a closed formula?

Published on 19 Aug 2021 - 1:55

114

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Summation of Exponential

Published on 20 Aug 2021 - 15:10

50

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Finding the initial payment that is exponentially increasing each month.

Published on 26 Aug 2021 - 18:39

110

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Why is $\frac{|1 - e^{2 \pi i \alpha N}|}{|1 - e^{2 \pi i \alpha}|} \leq \frac{\sin(\pi \alpha N)}{\sin(\pi \alpha)} \leq \frac{1}{||\alpha||}$?

Published on 29 Aug 2021 - 7:57

140

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Is there an expression for $\sum_{k=0}^{\infty} 2^{-(N^k)}$ in terms of an integer $N>1$?

Published on 31 Aug 2021 - 6:37

939

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How to calculate sum of a sigma notation for sum expression with exponents?

Published on 13 Sep 2021 - 13:42

112

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Standard way to evaluate $\sum_{k=0}^\infty \frac{x^k}{(k+1/2)!}$?

Published on 13 Oct 2021 - 11:07

38

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Sum of exponentials - derivation

Published on 23 Oct 2021 - 21:17

List Question

Show that the Kloosterman Sum $S(a,b,p^k)$ vanishes under the given condition.

Absolute value of the theta function on the unit nome

Modified exponential summation

For which $r \in \mathbb R$ is the series $S(r)$ finite?

What is $\sum_{i = 1}^n i^i$? How about $\sum_{i = 1} ^ n i ^ {1/i}$?

Real numbers non linear equations system with exponentials

Exponential sums and Partial fractions

Does this sum have a closed formula?

Summation of Exponential

Finding the initial payment that is exponentially increasing each month.

Why is $\frac{|1 - e^{2 \pi i \alpha N}|}{|1 - e^{2 \pi i \alpha}|} \leq \frac{\sin(\pi \alpha N)}{\sin(\pi \alpha)} \leq \frac{1}{||\alpha||}$?

Is there an expression for $\sum_{k=0}^{\infty} 2^{-(N^k)}$ in terms of an integer $N>1$?

How to calculate sum of a sigma notation for sum expression with exponents?

Standard way to evaluate $\sum_{k=0}^\infty \frac{x^k}{(k+1/2)!}$?

Sum of exponentials - derivation

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